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钙钛矿中MH曲线中的阶梯解释

钙钛矿中MH曲线中的阶梯解释
钙钛矿中MH曲线中的阶梯解释

Magnetization step,history-dependence,and possible spin quantum transition in Pr5/8Ca3/8MnO3

manganites

Guixin Cao,Jincang Zhang,*Shixun Cao,Chao Jing,and Xuechu Shen

Department of Physics,Shanghai University,Shanghai200436,China

?Received4August2004;revised manuscript received10November2004;published19May2005?

In order to clarify the physical mechanism of magnetization step in strong correlation manganites with a

phase separation,one Pr5/8Ca3/8MnO3single crystal was successfully grown by the optical?oating-zone

method and investigated systematically on its structural,magnetic,and transport properties.One steplike

charge ordered antiferromagnetic-ferromagnetic transition was proved below60K as an applied magnetic?eld

is only several T,and the step in the M-H curve became ultrasharp below4.2K.A history-dependent mag-

netization effect was also observed.Here,the given charge/orbital ordering and spin structure indicated that the

energy difference between ferromagnetic and charge ordering phases was small for Pr5/8Ca3/8MnO3.According

to the model of spin and orbital coupling,the steps should be the result of spin reorientation under the magnetic

?eld.Meanwhile,the two sharp step transitions appeared in the different?eld-cooled?FC?conditions at T

=2.0K,which shows a possible existence of spin quantum transition.The observed history-dependent mag-

netization re?ected the existence of d x2?y2orbital ordering state within the FM state.The correlation between

the magnetic structure and the mechanism was also discussed.

DOI:10.1103/PhysRevB.71.174414PACS number?s?:75.30.Kz,71.30.?h,71.27.?a

I.INTRODUCTION

Perovskite-type manganites with the general chemical for-mula R1?x A x MnO3?R and A being rare-and alkaline-earth ions,respectively?have been extensively researched because of their rich physical contents by various behaviors of elec-trical transport and magnetic properties,which would be very important to clarify the physical mechanism of strong correlation electron system and colossal magnetoresistance ?CMR?effect.1,2The basic microscopic picture responsible for the insulator-metal transition in the manganites has been established,which is believed to be the percolative transport through the coexistence phase of the submicrometer charge-ordered antiferromagnetic-ferromagnetic?COAFM?and FM transitions.The phase separation scenario is intrinsic in these materials and is attracting considerable attention.Neverthe-less,the physics of the CMR effect,especially the micro-scopic mechanism of the correlations among spin,charge, orbital,and lattice degrees of freedom,is far from being completely understood.Recently,several unexpected and in-triguing magnetization steps were observed for Mn-site sub-stituted manganese oxides Pr1?x Ca x Mn1?y M y O3with x?0.5, y?0.05?M is Ga,Cr,Sc,and Co,etc.?.3–5This was thought that the Mn-site substitution weakens the COAFM state and favors the development of PS,then make the required mag-netic?elds decrease.It is well known that the Mn-site sub-stitution is very ef?cient in destabilizing the strongly charge and orbital ordering.6Nevertheless,there is also the observa-tion of similar steplike transitions in Pr0.7Ca0.3MnO3and Sm0.5Sr0.5MnO3.5In these PS compounds,the magnetic?eld needed to cause the steps is only several T.Generally,via a traditional metamagnetic transition,7it will need very high magnetic?elds larger than20.0T to overcome this AFM state.Here,the lower critical magnetic?eld driven the tran-sition shows that this magnetization steps are different from the traditional antiferromagnetic transition.In addition,re-cent literature proposed that this magnetization transition is related to the martensitic character associated with the strain between the PS regions.8In the martensitic model,the COAFM and FM phases are looked upon as a high-

temperature-phase?austenite?and a low-temperature-phase ?martensite?,respectively.The step-type COAFM-FM transi-tion was driven by applied magnetic?eld when the driving

force?i.e.,the magnetic energy?overcomes the elastic energy

associated with the strains created at the COAFM/FM inter-

faces.The COAFM phase has signi?cantly larger lattice pa-

rameters and unit-cell volume than that of the ferromagnetic

phase,and the unit-cell of the antiferromagnetic?AFM?

phase is strongly distorted.As a magnetic?eld is applied in

the sample,the strains created in the AFM/FM interfaces

tend to block the development of the magnetic energy.And

when the applied?eld is suf?cient to overcome the stress

energy,the magnetization will appear a sudden increase,

which makes this martensitic transformation be discontinu-

ous with burstlike effects.In this model the effect of an ex-

ternal magnetic?eld would be only to overcome the stress

energy and promote the growth of FM phase fraction,with-

out modifying the magnetic coupling of the spins.Though

this martensitic scenario is attracting considerable attention,

the observation of sharp M-H steps in the underdoped

Pr0.7Ca0.3MnO3points towards the role of the OO/CO state,9

and such a picture did not consider the in?uence of micro-

structure on the appearance of M-H steps.Moreover,it is

dif?cult to reconcile with some experimental results that the

M-H step shows a gentle transition when above certain tem-

perature point.5In this paper,we show that the M-H steps in

PCMO are indeed far more complex than the simple marten-

sitic transition due to the sudden growth of FM phase.In-

stead,our study indicates that the M-H steps are associated

with the spin reorientation under the magnetic?eld and there

exists a possible spin quantum transition.The result chal-

lenges our present understanding the mechanism of the M

PHYSICAL REVIEW B71,174414?2005?

-H steps and suggests that,if martensitic effect plays an im-

portant role in the AFM-FM transition process,it must con-

sider the stress would in?uence the spin and orbital state of

the AFM phase fraction and its transformation under?eld

cannot be ignored for the appearance of M-H steps.

The above features prompted us to undertake a systemic

study about this peculiar COAFM-FM transition.In this

work,the Mn-doping free Pr5/8Ca3/8MnO3?PCMO?single crystal was used to study this dreamscape magnetization.

Based on its coexistence characteristics of FM,AFM,and

CO phase at low temperature,it should be reasonable to

predict that the unusual steps in magnetization and related

properties might be observed in PCMO as an applied mag-

netic?eld change.The structural,magnetic and transport

properties of single-crystal PCMO were investigated.The

COAFM-FM step transition is found in the M-H curve be-

low60K as the applied magnetic?eld is only several tesla,

and the step becomes ultrasharp below4.2K.The two simi-

lar sharp step transitions in the different FC conditions and

the history-dependent magnetization effects were also ob-served.This kind of step transition should be the result of spin reorientation under the magnetic?eld and there exists a possible spin quantum transition.Above10.0K,however, the step was not sharp,which was caused by the effect of thermal?uctuations that smears the transition and affects the ?uctuation rate of orbital.The related mechanism and pos-sible interpretations were also discussed.

II.EXPERIMENTAL DETAILS

A single crystal of Pr5/8Ca3/8MnO3?PCMO?with a size of 32mm in length and4mm in diameter was grown by optical ?oating-zone method in a?owing O2atmosphere ?100cc/min?at a rate of2mm/h.The rod was cut and two slices were obtained with a size of0.5mm thick along lon-gitudinal and transversal section,respectively.Then they were polished for microstructural analysis.X-ray-diffraction measurement revealed a good single-phase structure and showed that the longitudinal section of the slices is in the a-b plane and the transversal section is along the c axis. Low-temperature x-ray-diffraction data for single crystal PCMO were obtained by18kW D/max-2550using Cu-K?radiation in the range of300–10K.Magnetic measurements were carried out using PPMS-9?physical property measure-ment system,Q/D Inc.,US?with the precision20nV for voltage,and0.2Oe for the magnetic?eld.All the M-H curves were recorded after the sample was cooled under zero-?eld cooling?ZFC?or?eld cooling?FC?condition from the paramagnetic state at300K.Resistivity measurements were carried out using the conventional four-probe tech-nique.The resistivity vs temperature?-T curves measured under applied dc magnetic?elds ranges from0–6.0T were recorded by PPMS in the range of1.9–300K with a tem-perature precision of0.01K.The experiment results are re-peatable.

III.RESULTS AND DISCUSSION

A.Transport characteristics,structure,and orbital ordering

Figure1showed the temperature dependence of resistiv-ity for cooling and heating conditions at the applied magnetic

?elds of0.0,3.0,and6.0T,respectively.It can be seen that

both the curves under zero?eld and3.0T have a semicon-

ducting behavior and superposed for the same?eld during

cooling and heating.On the other hand,these?-T curves show a superposition above230K and a discernible upturn

around230K,which corresponds to the onset of CO.10Ac-

cording to Asaka’s work,the present onset has con?rmed the

existence of superlattice structure below230K for PCMO as

a further evidence of the d3x2?r2/d3y2?r2-type charge/orbital ordering by low-temperature transmission electron

microscopy.11An applied magnetic?eld of6.0T drastically

modi?es such an insulating CO state and the?-T curve un-dergoes a I-M transition at T p?84K?peak value?for the cooling curve and T p?110K for the heating curve.This shows that the transition becomes strongly hysteretic and the

?rst-order transition exists in the present system.However,it

must be noted that the low-temperature resistivity below T p ?28Ohm cm?is larger than the Mott’s maximum metallic limit.Figure2shows the temperature dependence of the M-T curve measured on heating for ZFC and FC in a?eld of 6.0T.The inset displays resistivity curves recorded under the same conditions.The M-T curves display the same gen-eral features as the similar compounds?0.3?x?0.4?:11,12?i?two kinks correspond to the CO temperature T CO and Nèel temperature T N around230and160K,respectively;?ii?at low temperature,magnetization M appears an large increase at about70K for the cooling curve and102K for the heat-ing curve,respectively.If associating these temperatures with the onset of FM ordering,we can?nd that the I-M transition temperature,as shown in Fig.1and in the inset of Fig.2,is higher than T C,which probably shows that the true T C in the system is considerably higher than observed in the present experiment.Below about100K,the ZFC and FC curves separate from each other when approaching the phase separation region.This feature displays the?rst order char-acteristics of this ferromagnetic transition.Meanwhile,it suggests that both magnetization and resistivity are related to dependence on the magnetic history as shown in Sec.III C. This further indicates that it is not induced by the transition FIG.1.?Color online?The temperature dependence of resistivity under0,3.0,and6.0T for Pr5/8Ca3/8MnO3.The resistivity was measured in FC mode.Inset gives the magni?ed curves of?-T under6T at below20K,which shows a distinct minimum in the vicinity of13K.

CAO et al.PHYSICAL REVIEW B71,174414?2005?

from an orbital ordering ?OO ?to an orbital liquid by enough magnetic ?elds but did from one type of OO to another OO.Another prominent feature of the ZFC curve is that there is a steep rise in the M -T curve as the temperature increases be-tween 4and 12K,and M is nearly invariable between 1.9and 4K.According to the intrinsic COAFM phase coexists with FM phase at low temperature,such behaviors could connect with the increase of the FM phase at the expense of the AFM phase fraction,which shows the temperature de-pendence of the COAFM-FM coexistent phase.In addition,it should be noted that the difference between the values of the magnetization M for the ZFC and FC curves around 110K might be related to the large magnetostriction pres-ence in this material.13The ?-T curves recorded in the ZFC and FC modes split near T =130K,as M -T curves did.In the low-temperature region ?T ?100K ?,?-T and M -T curves vary exactly in opposite ways,which is qualitatively consis-tent with what the double exchange ?DE ?model predicts.This behavior could be more dif?cult to understand for Pr 1?x Ca x MnO 3?Ref.14?with a smaller one-electron band-width W of the e g electrons.In the case,it can be only con-jectured that the COAFM state was changed to FM metallic state under the suf?cient magnetic ?eld.That is,the CO was melted and the spin was realigned towards FM behavior.And the spin and OO are strongly coupled with each other.15As a result,it can be supposed that in this case,magnetic ?eld can affect the d 3x 2?r 2/d 3y 2?r 2-type OO and modulate the spin structure accordingly,and then favor the transformation of AFM phase.Experimentally,it has been observed that the e g electron preferred to occupy the d x 2?y 2orbital under magnetic ?eld.16According to the DE model,17,18if the localized t 2g spins are considered classically,the transfer integral t of e g electrons between Mn 3+?t 2g 3e g 1?and Mn 4+?t 2g 3e g 0?ions can be expressed as 19

t =t 0cos ??/2??t 0??1+m ?/2,

?1?

where t 0is the transfer integral in a fully spin-polarized state,m is the normalized magnetization,and ?is the angle be-

tween nearest-neighbor spins.The normalized magnetization m depends on temperature according to the following self-consistent equation:20

m =B S ??m ?,

with ?=

3S 1+S T C

T

,

?2?

where

B S ?x ?=

2S +12S cth ?2S +12S x ??12S cth ?12S

x ?

?3?

denotes the Brillouin function with S =2?x /2=1.8152;In order to analyze the effect of temperature on t ,we can ?rst ?t the m at Curie temperature T C =70K in terms of Eqs.?2?and ?3?,in which the T C value is taken from the FC magnetiza-tion result at 6.0T as displayed in Fig.2.The ?tted m value is quite coincident with the experimental result for the curve T ?T C .as shown in the inset of Fig.2.That is to say,the trend of the curve of t was consistent with the FC magneti-zation result for T ?T C .However,for T ?T C ,the change of T N and T CO is not re?ected in the ?tted curve.Nevertheless,both the theoretically ?tted curves and experimental results coincide each other for T ?T C ,which shows the existence of orbital polaron.20This is consistent with the result ?-T at low temperature as displayed in the inset of Fig.1,which gives a distinct minimum in the vicinity of 13K.The resis-tivity minimum is probably due to the carries localization induced by orbital polarization.Both those re?ect the effect of orbital on the transport behaviors,and the effect of spin on the process needs further investigation.Under this case,the appearance of orbital state indicates that the behavior of ?-T and M -T for PCMO should have an anisotropic charac-teristic.According to the DE mechanism,the system should show an isotropic behavior by gaining a maximum kinetic energy and has no OO state in the FM metallic state.How-ever,experimental and theoretical results have revealed a complex phase diagram that is certainly beyond the DE ideas,so Jahn-Teller ?JT ?distortions and orbital order are also needed to understand the physical picture of manganites.Indeed,the d x 2?y 2-type orbital ordering was observed in the FM state of 50%hole-doped Pr 1/2Sr 1/2MnO 3and Nd 1/2Sr 1/2MnO 3.21There are theoretical results that simu-lated the existence of OO in the FM state.22So,in the present case,we suggest both the magnetic and electrical transport properties at low-temperature region ?T ?100K ?should have probably the two-dimensional character due to the ex-istence of d x 2?y 2OO state.In addition,it must be noted that the role of spin and orbital on the electrical transport process can be checked at low temperature,since the electrical and magnetic transport properties is correlated with each other.Resistivity versus temperature for different magnetic ?eld should be carried out to investigate detailed the low-temperature resistivity minima as shown in the inset of Fig.1.The relevant ?tted work should be carried out according to ??T ?=1/???0?+AT 1/2?+BT 9/2+CT n ,where ??0?is the re-sidual conductivity and A ,B ,and C are all constants.1/??0?+AT 1/2denotes electron-electron ?e -e ?interaction,BT 9/2denotes DE contribution,and CT n denotes additional inelastic contributions.Meanwhile,the resistivity versus

T

FIG. 2.?Color online ?dc magnetization curves of

Pr 5/8Ca 3/8MnO 3in a applied ?eld of 6.0T.The black and red sym-bols correspond to the ZFC and FC modes,respectively.Inset in the top right corner displays resistivity curves recorded in the same conditions,and in the down left corner is the transfer amplitude t as a function of temperature ?black and red symbols stand for experi-mental and ?tted curves,respectively ?.

MAGNETIZATION STEP,HISTORY-DEPENDENCE,AND …PHYSICAL REVIEW B 71,174414?2005?

under variational magnetic ?eld can also study the spin-orbital scattering contribution if the negative magnetocon-ductance appears.

It is well known that the setting of the CO in manganites can result in signi?cant distortions of the unite cell.This originates from cooperative Jahn-Teller effects and is accom-panied by orbital ordering.23Recently,the presence of struc-tural anomalies between T C and T N ,which is related to the development of a strong JT-type distortion with decreasing temperature,have reported by Cox et al.24In their work,for PCMO,observed phenomena proved that there exist the change of CO and OO as the temperature or the magnetic ?eld vary.In order to study in detail the possible structural distortions as temperature decreases due to CO/OO,we stud-ied the temperature dependence of the lattice parameters and the unit cell volume as shown in Fig.3.The lattice param-eters are calculated based on least square ?tting.It can be seen that their behavior is in qualitative agreement with pre-viously published data on similar compounds.25The com-pound has a Pbnm orthorhombic perovskite structure,11which is evidenced by the decrease of both the lattice param-eter b and the unit-cell volume with decreasing temperature near the room temperature.It does be an O ?structure with b /?2?a ?c in the range of the measured temperature.To the low temperature behavior,a number of changes on the lattice parameters are correlated to the characteristic of struc-tural and magnetic ordering temperature T CO ,T N ,and T C ,respectively.CO/OO are related to the crystal and spin struc-ture,and OO is expected to produce a signi?cant change of the crystal structure and the anisotropy of the spin exchange.As the d 3z 2?r 2ordering,for example,the out-of-plane lattice constant c becomes bigger than the in-plane lattice constants a and b ,and the exchange interaction along the c axis will be stronger than that within the a -b plane.As Fig.3displayed,the lattice parameters display some changes in the region between T CO and T N ,with a drastic increase of b and faintly increase of a after T CO ,which indicate the occupancy of the d 3x 2?r 2/d 3y 2?r 2orbital when T ?230K.However,when tem-perature is below T N ,a and b decrease and c slightly in-creases,which shows the d 3z 2?r 2orbital of e g electron begins to be occupied.The present observations are in good agree-

ment with the proposed model for the PCMO superstructure by Asaka et al.,11except that present results show the d 3x 2?r 2/d 3y 2?r 2orbital should be a long-range ordering when below T CO ,though it is not observed by the electron diffrac-tion.Here,the obscure decrease of c should be noticed be-tween T CO and T C ,possibly because the orbital ordering of Mn 3+in the a -c plane is mostly compensated for the disor-dering of the d 3z 2?r 2orbital along c axis.That is said that,according to the results of low-temperature XRD,above T CO the e g electrons randomly distribute in Mn sites,and below T CO there appears d 3x 2?r 2/d 3y 2?r 2ordering within the a -b plane,while along the c axis d 3z 2?r 2is completely disordered.Only when the temperature is below T N ,does the extra Mn 3+e g electron begin to occupy the d 3z 2?r 2orbital.In terms of earlier neutron-diffraction result,26the extra electron intro-duced into the structure due to the x concentration changing can modulate the “robustness”of the CO state.Accordingly,the AFM spin structure of the system is also modi?ed,and that it will affect the collapse of the CO domains.In Pr 1?x Ca x MnO 3compounds with x ?0.5,the CO regions is more “harder,”and with deviation of x from 0.5,the spin arrangement along the c direction will change and make the CO regions become more “soften.”From this point of view,the spin and orbital structure can determine the required criti-cal magnetic ?eld to melt the COAFM phase.

B.Magnetization step and orbital/spin structure

ac magnetic susceptibility measurements have been widely used to characterize magnetic transitions occurring in CMR materials,especially in the PS manganites.27,28Figure 4gives the results of ac magnetic susceptibility and the ?eld dependence of magnetization at selected temperatures in

ac

FIG.3.?Color online ?Lattice parameters and unit cell volume as a function of temperature for Pr 5/8Ca 3/8MnO 3

sample.

FIG.4.Results of the ac magnetic susceptibility measurement and the magnetization isotherms at selected temperature to be cor-responding to the results of ac susceptibility curve.Which is labled with ?a ??300K ?,?b ??230K ?,?c ??148K ?,?d ??60K ?,?e ??30K ?,?f ??15K ?,?g ??10K ?,?h ??4.2K ?,and ?i ??2K ?,respectively.

CAO et al.PHYSICAL REVIEW B 71,174414?2005?

susceptibility curves.For the present measurement,the low ac magnetic?eld?H ac=10Oe ?is not supposed to affect the magnetic state of the sample.From these results,it can be seen that there are two kinks around240and160K corre-sponding to the CO temperature?T CO?and Nèel temperature ?T N?,respectively,which is consistent with above electronic and magnetic results.According to the kinks in the M?-T

curve,there exist many kinds of magnetic structure as the temperature varies in PCMO.Some representative tempera-are selected which is labeled with?a??300K?,?b?

??148K?,?d??60K?,?e??30K?,?f??15K?,?g?

?4.2K?,and?i??2K?,respectively,and corre-

M-H curves are measured as shown in Fig.

For each measurement,the sample was cooled un-der zero-?eld from room temperature to the selected tem-

perature,M-H curves were measured in a cycle sweeping mode?0→7.0T→0→?7.0T→0?with a sweeping rate of 60.0Oe per s.It can be seen that the M at300,230,and 148K increases linearly in proportion to the applied?eld until7.0T.On the whole,the slope of M-H curve is related to the magnetization value at selected temperature point as shown in the ac susceptibility curve.There is a little decrease of the M-H curve slope for148K comparing with230K.It should be noticed that temperature point?b?,T=230K,lies below the CO transition T CO near and point?c?,T=148K, below the AFM transition T N about.From increasing slope for M-H curve,it shows that magnetic order is stronger in CO phase than in AFM state.This indicates that the change of magnetization under magnetic?eld should be related to the orbital polaron.20For the M-H curve below60K,an initial magnetization increases linearly with H,which indi-cates the AFM phase domains at the low?eld.At a critical magnetic?eld H,a?eld-induced step occurs,associating with the transition of COAFM phase fraction to FM state. The magnetization reaches almost a saturation moment of 3.45?B/f.u.at7.0T,which is consistent with the expected value for Pr5/8Ca3/8MnO3in theory and this highly magne-tized state can be regarded as a fully spin-polarized phase.As we have seen in Figs.4?d?,4?e?,4?f?,and4?g?,the transition from AFM to FM state shows a gradual character.However, this behavior changes dramatically below4.2K as shown in Figs.4?h?and4?i?,which shows an abrupt step near H c =5.5and5.8T for T=4.2and2K,respectively.Their width are smaller than1?10?4T.In the frame of martensitic sce-nario,the strains created at the AFM/FM interfaces tend to block the development of the magnetic energy.And when the applied magnetic?led is suf?cient to overcome the stress energy,the magnetization will appear a sudden increase.This is consistent with the appearance of abrupt M-H steps below 4.2K.While for the gentle step above10K,according to the phase separation model,it seems to suggest a process during which the critical magnetic?eld drives this transition in dif-ferent parts of the sample.Why they behave different trans-formation process for the temperature below 4.2K and above10K?Both models did not give satisfactory explana-tion.Actually,the sharp step appeared below4.2K and fairly weak critical?elds?only?6.0T at2K?,as shown in the isothermal magnetization curves in Fig.4,would not be un-derstood only based on simply competition between the FM and COAFM.If the steps originate from equally strong and competing AFM and FM exchange interaction,spin?uctua-tions would inevitably be enhanced in the boundary of FM clusters and COAFM,and smear the transition.In addition, both models give only a mesoscopic picture to the magneti-zation transitions because of the mesoscopic phase coexist-ence of COAFM and FM fractions.In terms of the result of Figs.1and2,we have displayed the contribution of orbital state to the transport process,which shows that applied mag-netic?eld not only acts on the spin of AFM phase fraction, but also can induce the variety of orbital.The anisotropic AFM ordering of spins in the sample as shown in Fig.5is one of the manifestation of the coupling between spins and orbitals.23,26,29Moreover,the critical?eld driving the steps is remarkably small?Fig.4?,which is consistent with mean-?eld and numerical relaxation analysis14and further indi-cates the steps are closely related to the spin and charge structure.All these?ndings thus favor a drastic change of the microscopic spin orientation at the M-H steps.Indeed,using the numerical simulation results according to coupling be-tween spin and orbital degree of freedom,15Koshibae et al.?nd a charasteristic magnetization process of manganites. Based on the data above,we conjecture a scenario in which the occurrence of M-H steps is due to a microscopic spin reorientation of the AFM phase due to the change of OO with the magnetic?eld.As for the steps of M-H above10K, which becomes a gentle slop,it is the effect of thermal?uc-tuations that smears the transition.The suppose is accordant with the model of spin and orbital coupling of Koshibae et al.,which think that the recovering of spin ordering depends strongly on the state of orbital in the e g state of Mn ions.In other words,the spin moment is accompanied with the change of the orbital structure and?nally results in a mag-netization process of manganites,which shows only a typical phenomenon of the stabilization of speci?c spin values.

For a Pr1?x Ca x MnO3system,the effective hopping of e g, i.e.,the kinetic energy of e g electron can be given as

H?t=t0?

?ij????

t ij??c?i??

+c?

j??

++H.c.,?4?

where c?i???c?i??+?denotes the annihilation?creation?operator with spin?in the?orbital on site i with the constraint.t ij??FIG.5.?Color online?The charge/orbital ordering and magnetic structure of Pr5/8Ca3/8MnO3at low temperature.

MAGNETIZATION STEP,HISTORY-DEPENDENCE,AND…PHYSICAL REVIEW B71,174414?2005?

is a hopping integral between?orbital on site i and?orbital on site j.When an external magnetic?eld is applied in the z direction,the Zeeman term can be introduced,

H Z=?2?B H?i?S i zt2g+S i z?.?5?For PCMO,in the COAFM phase,the Hund coupling to-gether with kinetic energy as shown in Eq.?4?,can induce an effective ferromagnetic interaction between the sites occu-pied and unoccupied by an e g electron.The spin state can be easily modi?ed by the magnetic?eld due to the suppression

of AFM interaction J t

2g by the effective FM interaction.

Therefore the ordering of spin and orbital of ground state is determined self-consistently.Finally,when magnetic?eld is applied,the spin was modulated by orbital and the step ap-pears,which is consistent with the results in Fig.4.

The structure of PCMO and the correlation of CO/OO

with spin mode as the applied magnetic?eld varies can be

illustrated by the charge/orbital ordering and magnetic struc-

ture of PCMO at low temperature as shown in Fig.5.Just

contrary to the“x=1/2plus defects”scenario due to x away

from0.5,there is no defect to be constructed into the speci?c

charge arrangements.Because,for Pr5/8Ca3/8MnO3,the ratio

of Mn3+to Mn4+in the sublattice is5:3according to the

chemical composition,except that the alternation of?3x2?r2?and?3y2?r2?orbital appears in the a-b planes,and the extra e g electrons occupy3d z2?r2orbital on the Mn4+sublat-tice which is along the c direction instead of parallel to the

a-b layers.24This charge/orbital pattern is consistent with our

XRD results.It should be noted that the Coulomb interaction

in this charge state is lowest and plays an important role in

the observed CO phase.9,30The magnetic structure at low

temperature as shown in Fig.5is commonly described as the

pseudo-CE type for Pr5/8Ca3/8MnO3.14,26,31The spin ordering

arrangement is a single FM zigzag chain with alternating

Mn3+and Mn4+ions along the corner sites.However,all the

neighboring chains will exhibit ferromagnetic ordering ex-

cept that the?3z2?r2?orbital is occupied.Along the c axis, the neighboring a-b planes stack with no change and the AFM Mn-O layers are ferromagnetic coupled.The observa-tion will essentially mean that an electron passes a corner site of the zigzag chain and acquires a phase that depends on the orbital through it passes.This can lead to an effective dimer-ization that splits the bands and open a gap at the Fermi surface.32Maybe,the gap can determine the value of critical magnetic?eld H C of the step occurrence.

The effective ferromagnetic interaction depends on which

orbital is occupied by an e g electron.So,the different orbital

case in the ground state will make the spin structure have

different change with increasing magnetic?eld.According to

the CO/OO and spin structure in Fig.5,the magnitude of the

effective FM interaction?J34?for Pr5/8Ca3/8MnO3is nearly zero,which is an average result based on different orbital occupied.So the relative spin structure can change into com-plete FM state at a certain magnetic?eld without intermedi-ate phase transition.This should be the reason that only one step occurs.It must be pointed out that the complete FM state after steps should be an orbital liquid state with random orbital disorder.In fact,in terms of this explanation,the M-H step should behave sharply.However,it can be found from Fig.4that between60and10K,with the increase of magnetic?eld,the step shows a gentle slop,while it dose not display a sharp step transition as it does below4.2K.From the numerical results about the coupling between the spin and orbital degrees of freedom,15it can be concluded that the magnetization process is not scaled by only J t

2g

,but is deter-mined by the balance of magnitude between J t

2g

and the effective FM interaction caused by t0and the Hund coupling. For the experimental results between60and10K in Fig.4, this magnetization process can be attributed to the ratio of J t

2g

/t0.Here,J t

2g

is temperature dependent.As the tempera-ture increases,the effective FM interaction is suppressed due to the thermal?uctuation.Therefore,J t

2g

/t0is larger above 10K than that below4.2K,so the step becomes more gentle slop when temperature is above10K.The results can also be understood according to the change of t as temperature de-creases.From inset of Fig.2,we can?nd t becomes bigger after T?T C,so this can possibly explain why the M-H steps are easy to appear under only several T.According to the orbital polaron theory,20the?uctuation rate of orbital is?xt: the stronger the orbital?uctuates,the more its stabilization is unfavorable.Then,the large?uctuation rate of orbital will make easily the corresponding spin orientation,i.e.,it will need less energy to cause the occurrence of steps below 60K.As for the difference above10K and below4.2K,it is because the thermal?uctuation affects the?uctuation rate of orbital above10K and the COAFM-FM step is not sharp.

It is more interesting that two sharp steps appear for PCMO system in the different FC conditions at T=2.0K as shown in Fig.6.All these FC magnetization curves are ob-tained with?eld cooled from300K,and after stabilization at the measurement temperature2K,the?eld was reduced to zero,and then M-H was measured in a?eld sweeping mode ?0→7.0T→0→?7.0T→0?.Surprisingly,the?eld cooled M-H in magnetic?eld2.0,3.0,and4.0T are nearly the same,and there are all two jumps occurred near the same critical?elds.Only when the sample is cooled in a suf?cient high magnetic?eld6.0T,does the M-H curve display an FIG.6.?Color online?M-H curves at T=2K after cooling in different positive?elds.

CAO et al.PHYSICAL REVIEW B71,174414?2005?

almost fully ferromagnetic state and eliminate the steps.But the twofold step is dif?cult to be accounted for merely by the martensitic mechanism.In the frame of martensitic model,6 the occurrence of multisteps on M-H curves is such that: When the?eld value is high enough to locally overcome the stress constraints,it will trigger a sudden motion of FM/ COAFM interfaces in a part of the sample and then induce a abrupt increase of the magnetization.Along this process,the magnetic energy decrease and the stress energy increase, which can lead the system to be frozen in another metastable balance state.Then,the overall transition may appear succes-sive steps on the M-H curves.However,according to the result of low-temperature XRD as displayed in Fig.3,the low-temperature CO phase is long-range ordered in the sample.Though the XRD experiment shows no trace of FM phase in the sample it should be understandable in terms of a long-range-ordered characteristic.33Since there exists a bal-ance between long-range-ordered FM and COAFM phases in the sample,the magnetic energy is only needed to overcome one type of stress energy created at the COAFM/FM inter-

faces.Because applied magnetic?eld should be simulta-neously acts on the whole sample uniform.Then it will be only one step appears with magnetic?eld increasing.The appearance of similar twofold steps at different FC condi-tions is dif?cult to understand according to the simple mar-tensitic transition.The present FC twofold step phenomena prove the existence of the spin quantum phase transition due to the interplay of spin and orbital orderings,which should re?ect an intrinsic property in the strong correlation manga-nite systems.FC may stabilize certain types of spin structure and accordingly the orbital structure also changes with the spin structure.So the effective FM interaction J34will have a certain value.That is to say,FC can modulate the orbital ordering state of Pr5/8Ca3/8MnO3,and when the M-H begins to be measured under magnetic?eld,the orbitals can gain energy through the J34term.Thus,as the magnetic?eld in-creases,a certain type of spin and orbital state will be stabi-lized in the intermediate process.In Fig.6,it shows that the FC curves at2.0,3.0,and4.0T are similar,which indicate that they should stabilize the same type of spin structure during the cooling process.Then,with increasing magnetic ?eld,the state with certain magnetization value?here is about3.2?B/f.u.?appears.The corresponding orbital struc-ture also changes with the spin structure.We suppose that there is possible presence of d x2?y2orbital ordering at the intermediate spin state just on the second step boundary, which increases the transfer integral t of the e g electrons and the FM interaction.The character of the preferred e g state under magnetic?eld is similar to that of La1?x Sr x MnO3.16 Meanwhile,it should be noted that the coupling constant of spin and orbital is anisotropic due to the dependence on hop-ping integral t ij ab.If we chose the orbital basis as a,b ???3z2?r2?,?x2?y2??,the transfer matrices will be denoted as

t x/y ab=t?1/4??3/4

??3/43/4

?and t z ab=t?1000?,?6?

which indicate that the orientation at a given bond can deter-mine the transfer amplitude,and consequently affect the spin orientation of the system.With further increasing magnetic ?eld,the perfect FM state with orbital degeneracy appears. Therefore,since the ordering of spin and orbital is deter-mined self-consistently,the quantum phase transition of magnetization is history dependent on the spin and orbital structure.According to our explanations,it must be empha-sized that the value of critical?eld,which drives the COAFM-FM transition,should be given by the spin and or-bital structure,i.e.,the robustness of the CO phase in the PS system.Therefore,they must be well reproducible and inde-pendent of the relative fraction of two phases.The property will be easy to be proved using additional thermal treatments to a ceramic sample since the phase separation can be con-trolled by the grain boundaries,34the chemical pressure,and oxygen-isotope composition.1

In addition to the?eld-induced magnetization steps,the experimental data in Fig.4also convey the character of the thermal effect,for which the M-H curve depended strongly on temperature.For the M-H curve below60K,the critical magnetic?eld of the transition of COAFM to FM state,i.e., the critical?eld induced the appearance of step,can be de-?ned as H C A-F.For the measurement process from7.0to0T, the M-H at30and60K remains in FM behavior initially and then appears a FM-AFM transition at critical magnetic ?eld,which can be de?ned as H C F-A.For the M-H curves measured below?10K,however,a typical long-range fer-romagnetic behavior appears.From the experimental data, we give the magnetic transition phase diagram at low tem-perature in Fig.7.Here,a hatched area shows a hysteretic region,which is the characteristics of?rst order phase tran-sition and displays a bistable region where the COAFM and FM state can coexist.Meanwhile,the present phenomena also show that magnetic?eld can induce the appearance of PS state in the system.The hysteretic region depends criti-cally on temperature and becomes broader as temperature decreases,which is due to the suppression of the effect of thermal?uctuation on the phase transition boundary.And this is thought to be a generic feature of the?rst order phase transition at low temperature.35From Fig.7,we can also

see FIG.7.?Color online?Magnetic phase diagram for Pr5/8Ca3/8MnO3against an external critical magnetic?eld.Open and closed circles represent the H C A-F and H C F-A,respectively.AFMI and FMM stand for antiferromagnetic insulator and ferromagnetic metal,respectively.

MAGNETIZATION STEP,HISTORY-DEPENDENCE,AND…PHYSICAL REVIEW B71,174414?2005?

that both the critical magnetic ?eld H C A -F and H C F -A

are func-tion of temperature below 60K.The critical ?eld to destroy the CO state enhances with the increase of temperature in the low-temperature region,which is similar to the relative ex-periment results for x =0.5and is inconsistent with x =0.35

and 0.40.36It is also clear that H C

A -F

in Pr 5/8Ca 3/8MnO 3below and above ?20K are different,even though the applied magnetic ?eld at or above H c is required to overcome the energy barrier between AFM and FM under isothermal con-ditions.The energy barrier determines the value of critical

magnetic ?eld at a ?nite temperature.Below ?20K,H C A -F

increases with decreasing temperature because the thermal ?uctuations of the localized magnetic moments and/or elas-ticity of the lattice in the AFM state are reduced,thus en-hancing the negative exchange interaction.The increased negative exchange interaction raises the energy barrier be-tween AFM and FM state,and the larger H C

A -F

is needed to accomplish the transition.Since the formation of the FM is accompanied by a contract of the crystal structure,24this re-sults in the dominating positive exchange interaction and thermal ?uctuation at low temperature is not strong enough to destroy the FM state in Pr 5/8Ca 3/8MnO 3.Therefore,the AFM-FM transition is irreversible below ?20K.On the other hand,the free energy difference between AFM and FM state also increases with temperature above 20K,and so does the critical magnetic ?eld.This increase may be asso-ciated with the thermal expansion of the Pr 5/8Ca 3/8MnO 3crystal lattice,for which the small changes in interatomic distances may have a pronounced effect on the free energies

of the AFM and FM states.37However,H C A -F

increases all along with the temperature increasing above ?20K,which is likely caused by the increased thermal ?uctuation and/or thermal expansion of the lattice and then increases the en-ergy barrier of the AFM and FM state in the Pr 5/8Ca 3/8MnO 3system.

C.Metastable magnetic order and history-dependent

magnetization

In order to study the low-temperature properties in more detail,we performed the measurements of M -H by two suc-cessive sweeping cycling of magnetic ?eld at 15K and 2K,respectively.The relevant results are given in Fig.8.Samples were zero-?eld cooled before a magnetic ?eld was increased according to the cycling of two continuous 0→7.0T →0

→?7.0T →0sweeping process.From Fig.8,it can be found that for the M -H curve measured at T =15K there exists a nearly rectangular loop and the virgin curve itself lies outside of this loop.Here,no hysteresis is observed for https://www.wendangku.net/doc/bc3019746.html,pared to the curve at 15K,the loop of virgin curve at 2K is sharper,and the curve of the second cycle displays FM state even at the beginning measurement of the second cycling.This phenomenon shows that the FM part is history dependent and has also the character of memory ef-fect.Only by heating the sample above 160K,could the sample recover its original state,which shows that it is highly temperature sensitive.On the other hand,at low tem-perature the resistivity decreases to 10?4magnitudes on an applied ?eld of 6.0T as shown in Fig.1.The resistivity and magnetization of ZFC and FC processes are very different ?see Fig.2?.All these results indicate the existence of the metastable magnetic ordering,which is possibly caused by a ?eld-induced change in the orbital occupancy of e g electron.38,39Meanwhile,a large magnetostriction appears in the magnetization process due to the magnetic ?eld.15The mechanism of magnetostriction is originated from the inter-change coupling of magnetic moment of atoms.In terms of the charge,orbital and spin ordering structure at low tem-perature for Pr 5/8Ca 3/8MnO 3as shown in Fig.5,the magne-tostriction under the applied ?eld may improve the orbital overlap within the plane and enhance the probability of the charge transfer.Actually,the wave function of d x 2?y 2stretches along the x axis and y axis,then the distance be-tween 3d and O 2?along the same axis becomes larger than that along z axis,which will induce the lower free energy and the system is more stable.These phenomena mean the possible presence of d x 2?y 2orbital ordering and thus increase the transfer integral t of the e g electrons and increase the FM interaction.The characteristics above are consistent with the steps of M -H due to the interplay of spin and orbital.The appearance of second curve within the virgin curve is be-cause of the history of spin and orbital structure.In this sense,the present history-dependent magnetization is related to the orbital structure.A situation with the spins standing perpendicular on the orbitals rather than pointing in the or-bital plane seems to be energetically preferred.

IV .CONCLUSIONS

In order to clarify the physical mechanism of magnetiza-tion step in strong correlation manganites with phase separa-tion,the Pr 5/8Ca 3/8MnO 3single crystal was successfully grown by the optical ?oating-zone method and investigated systematically on the structural,magnetic,and transport properties.Theoretically,the destruction of the orbital order-ing by an external ?eld gives rise to the structural phase transition and the recovering of the DE,which promotes the polarization of the t 2g spins.In the present case,the ?eld-induced magnetostriction occurs and indicates orbital occu-pancy of the e g electron of the Mn 3+change with the mag-netic ?led.And then this orbital occupancy causes the occurrence of the M -H step and the history-dependent mag-netization effect.The step becomes ultrasharp below 4.2

K.

FIG.8.M -H curves were measured by two successive sweeping cycling of magnetic ?eld at 15and 2K,respectively.

CAO et al.PHYSICAL REVIEW B 71,174414?2005?

In the FC conditions,the two sharp steps appear at T=2K, which shows a possible existence of spin quantum transition. The results proved that all the magnetization steps and history-dependent magnetization effects were related to the interplay of spin and orbital degrees of freedom,indicating the presence of a?eld-induced change in the orbital occu-pancy of the e g electron of the Mn3+,which shows the pos-sible appearance of d x2?y2orbital ordering.On the other hand,the directional dependence of the spin and OO corre-lations was clearly observed in the FC M-H measurement, which further makes sure the fact that the spin?uctuations are driven by the speci?c d x2?y2-type orbital ordering in the intermediate step process.

ACKNOWLEDGMENTS

This work is supported by the National Foundation of National Science of China?Grant No.10274049?,The Key-project of the Science&Technology Committee of Shanghai Municipality?Grant No.04JC14039?,Down Project of the Education Committee of Shanghai Municipality?Grant No. 03SG35?and the Key Subject of Shanghai Educational Com-mittee.

*Email address:jczhang@https://www.wendangku.net/doc/bc3019746.html,

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1菲利普斯曲线 (1)基本定义:1958年,菲利普斯根据英国1867-1957年间失业率和货币工资变动率的经验统计资料,提出了一条用以表示失业率和货币工资变动率之间交替关系的曲线。这条曲线表明:当失业率较低时,货币工资增长率较高;反之,当失业率较高时,货币工资增长率较低,甚至是负数。根据成本推动的通货膨胀理论,货币工资可以表示通货膨胀率。因此,这条曲线就可以表示失业率与通货膨胀率之间的交替关系。即失业率高表明经济处于萧条阶段,这时工资与物价水都较低,从而通货膨胀率也就低;反之失业率低,表明经济处于繁荣阶段,这时工资与物价水平都较高,从而通货膨胀率也就高。失业率和通货膨胀率之间 存在着反方向变动的关系。 横轴U代表失业率,纵轴G代表通货膨胀率,向右下方倾斜的AC即为菲利普斯曲线。这条曲线表明,当C点失业率高时(大于5)通货膨胀率就低(小于3),当A点失业率低(小于B、C)时通货膨胀率就高(大于3)。SPC表示短期菲利普斯曲线,LPC是长期菲利普斯曲线 (2)菲利普斯曲线表达式:表明三对经济变量的关系。 第一种菲利普斯曲线表明的是失业率与货币工资变化率之间的关系,可称之为“失业-工资”菲利普斯曲线。这是由当时在英国从事研究的新西兰经济学家菲利普斯本人于1958年最早提出的。其表现形式是:在以失业率为横轴、货币工资变化率为纵轴的坐标图上,由右下方向左上方倾斜的、具有负斜率的一条曲线。它表明:失业率与货币工资变化率二者呈反向的对应变动关系,即负相关关系。当失业率上升时,货币工资变化率则下降;当失业率下降时,货币工资变化率则上升。在一轮短期的、典型的经济周期波动中,在经济波动的上升期,失业率下降,货币工资变化率上升;在经济波动的回落期,失业率上升,货币工资变化率下降。于是,这条曲线表现为一条先由右下方向左上方移动,然后再由左上 方向右下方移动的曲线环。 这条曲线环呈现为略向左上方倾斜、位势较低、且较为扁平的形状。“向左上方倾斜”,说明失业率与货币工资变化率为反向变动关系;“位势较低”,说明货币工资变化率处于较低水平;“略”向左上方倾斜和“较为扁平”,说明货币工资变 化率的变动幅度不大。 第二种菲利普斯曲线表明的是失业率与物价上涨率之间的关系,可称之为“失业

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11、任何人都应该有自尊心、自信心、独立性,不然就是奴才。但自尊不是轻人,自信不是自满,独立不是弧立。——徐特立 12、真正的虚心,是自己毫无成见,思想完全解放,不受任何束缚,对一切采取实事求是的态度,具体分析情况对于任何方面反映的意见,都要加以考虑,不要听不进去。——邓拓 13、卑鄙和高傲的动机只会满足愚人、武夫、人类的侵略者和掠夺者的贪于,人们应当放弃这种动机,不要让这些诱人的饮料再麻醉那些自命不凡之徒!——圣西门 14、自卑虽是与骄傲反对,但实际却与骄傲最为接近。——斯宾诺莎 15、恢弘志士之气,不宜妄自菲薄。——诸葛亮 16、卑己而尊人是不好的,尊己而卑人也是不好的。——徐特立 17、当我们是大为谦卑的时候,便是我们最近于伟大的时候。——泰戈尔 18、盛满易为灾,谦冲恒受福。——张廷玉 19、昂着头出征,夹着尾巴回家,是庸驽而又好战的人的常态。——冯雪峰 20、每个人都有必定的理想,这种理想决议着他的尽力和断定的方向。就在这个意思上,我素来不把安适和快活看作生涯目标的自身——这种伦理基本,我叫它猪栏的幻想——爱因斯坦 21、好说己长便是短,自知己短便是长。——申居郧

反思自己的不足1000字

期末考试反思1000字2014年 紧张的期中考试已淡出我们的记忆,但我要提醒同学们不能忘了期中反思,因为通过反思,大家才可以发现平时学习上的不足与缺陷,考试就像捕鱼,每一次考试你都会发现鱼网上的漏洞,经过一次次的修补,一次次的捕捞,在高考的时候,你的知识与能力编成的鱼网一定已经是牢不可破的。这次期中考试,我们每一位同学都经受了失败、痛苦和成功的洗礼,得到了磨练、反省和升华自我的机会,这正是我们最大的收获。 但是,我们也要正确面对考试成绩。“不以物喜,不以己悲”,胜败乃兵家常事,对于一次考试的成功,我们不能盲目乐观,无论是谁,都不可能完美无缺,也许你还有许多弱点和缺点没有暴露,每份试卷都会有不同的结果。应该说,良好的开端是成功的一半,那另一半就是你要善于总结,不停地拼搏。假如你还一直陶醉在暂时的幸福中,失败只是迟早到来的结局。在顺利登上理想的彼岸之前,不轻言成功,这才是我们应取的态度。考试失利的同学也未必是坏事,失败是一支清醒剂,是不断成功的动力,即使我们一百次跌倒也要第一百零一次爬起,因为我们正处在人生攀登的山腰上,还有好长的路等待我们去开拓、创造。失败乃成功之母,有人说我怎么只遇到成功的母亲。是的,关键是你没有能抓住成功的父亲,那就是——“态度、目标、勤奋、恒心”。 态度决定一切。有这样一句话:“当我冷眼旁观时,生命是一只蓝色的蛹;当我热情相拥时,生命是一只金色的蝶”。学习也是这样,当你把学习当作自己成长发展的需要时,才能体验到学习的快乐;当你把学习当作是一种负担时,学习就是一种痛苦。谁愿在一片郁闷和痛苦中学习呢?所以说,我们首先要调整心态,以愉快的心情投入到紧张的学习生活中,并善于在学习的过程中体验获取知识的快乐,体验克服困难的快乐,体验取得成功的快乐。 目标是前进的灯塔。一个人没有目标,就象大海中迷失方向的航船,不可能达到成功的彼岸。生活中,每个人都应该有一个既定目标,瞄准目标奋力攀登,就一定会取得成功。最终的总体目标,是由一个个切近的具体目标逐步递进而实现的。因此,每个阶段性目标的实现都关系到总体目标的实现。在这个历程中,需要不断地将自己行为的结果与阶段性目标相比较。反思自己的目标,并进行合理的调节,制定出切合实际、通过努力能够达到的目标。 所以,请同学们一定要确立自己的努力方向和适当的近期目标,在不断的超越中成长自我,成就自我。 勤奋是成长的阶梯。书山有路勤为径,天上不会掉下馅饼,要学习真本领没有勤奋的耕耘不行。有句诗这样写到:“梦里走了许多路,醒来却还在床上”,不勤奋,理想永远是梦想。但勤奋并非只是简单的忙忙碌碌,更需要思考和反思。有的同学终日劳累,却没有明显的进步,原因何在?我想,也许是因为缺少思考和反思,还未认识到自己学习中的“短处”,课前不预习,抓不住关键的课堂学习环节,重作业轻复习,忽视学习规律的总结和学习方法的琢磨,学习在高耗和低效中进行。所以,我劝同学们忙中偷闲,时时反思自己的“短处”,力求一份耕耘两份收获!篇二:2015期中考试反思1000字 2015期中考试反思1000字 期中考试反思1000字范文一: 期中考试结束了,面对学生的学习成绩,虽然都比以前略有进步,但我觉得还是不够理想,所以在教学中有一些经验教训还是需要认真反思,以便能针对性的解决教学中存在的不足,使其成为以后教学工作有效的指导。 本次考试试题量大,考查的知识点非常全面,范围也极其的广泛,侧重于阅读能力和习作能力的考查,各占30%。学生在做的时候唯有细心、用心,并且知识面广,才有可能把题答好,取得高分。最让我意外的是解释字义这样的题又上演了,虽是重点词,上课也强调过,但从没复习,学生是很难得分的;更可气的是课本上没有,教参上却莫名其妙出现的无可厚非居然又一次被考;还有一些等到毕业前夕才要复习的一些诗句、名句也出现了。

菲利普斯曲线

菲利普斯曲线 菲利普斯曲线 菲利普斯曲线 表明失业与通货膨胀存在一种交替关系的曲线,通货膨胀率高时,失业率低;通货膨胀率低时,失业率高。菲利普斯曲线是用来表示失业与通货膨胀之间交替关系的曲线,由新西兰经济学家W?菲利普斯于1958年在《1861,1957年英国失业和货币工资变动率之间的关系》一文中最先提出。此后,经济学家对此进行了大量的理论解释,尤其是萨缪尔森和索洛将原来表示失业率与货币工资率之间交替关系的菲利普斯曲线发展成为用来表示失业率与通货膨胀率之间交替关系的曲线。 名称 菲利普斯曲线(Phillips Curve) 定义 1958年,菲利普斯根据英国1867,1957年间失业率和货币工资变动率的经验统计资料,提出了一条用以表示失业率和货币工资变动率之间交替关系的曲线。这条曲线表明:当失业率较低时,货币工资增长率较高;反之,当失业率较高时,货币工资增长率较低,甚至是负数。根据成本推动

的通货膨胀理论,货币工资可以表示通货膨胀率。因此,这条曲线就可以表示失业率与通货膨胀率之间的交替关系。即失业率高表明经济处于萧条阶段,这时工资与物价水平都较低,从而通货膨胀率也就低;反之失业率低,表明经济处于繁荣阶段,这时工资与物价水平都较高,从而通货膨胀率也就高。失业率和通货膨胀率之间存在着反方向变动的关系。 图中,横轴U值代表失业率,纵轴G值代表通货膨胀率,向右下方倾斜的PC 即为菲利普斯曲线。这条曲线表明,当失业率高(d)时通货膨胀率就低(b),当失业率低(c)时通货膨胀率就高(a)。 最初是说明失业率和货币工资变动率之间交替关系的一条曲线。它是由英国经济学家菲利普斯根据1861—1957年英国的失业率和货币工资变动率的经验统计资料提出来的,故称之为菲利普斯曲线。因为西方经济学家认为,货币工资率的提高是引起通货膨胀的原因,即货币工资率的增加超过劳动生产率的增加,引起物价上涨,从而导致通货膨胀。所以,菲利普斯曲线又成为当代经济学家用以表示失业率和通货膨胀之间此消彼长、相互交替关系的曲线。 菲利普斯曲线三种表达方式 “失业,工资”菲利普斯曲线 第一种菲利普斯曲线表明的是失业率与货币工资变化率之间的关系。可称之

药物经济学复习笔记(第二章)

1、药物需要 是指医药专业人员根据现有医药知识所判定的一个人尽可能保持健康或变得健康而应获得或利用的某种药品的数量。医药专家判定的药品需要有一个共同的特征:即主要从人的健康需要出发。 2、药品需求 是指在某一特定时期、一定价格水平上,人们期望并能够购买的某种药品的数量。形成药品需求必须具备两个基本条件:医师消费者有购买药品的意愿;二是消费者有货币支付能力。 3、药品需要与药品需求的关系 (1)首先,药品需要是产生药品需求的基础。在药品需要的基础上,人们产生购买药品的意愿,进而形成实际药品需求。 (2)药品需要并不等于药品需求。要形成实际的药品需求,仅有药品需要是不够的,还必须具备两个基本条件:即消费者的支付能力和购买意愿。 (3)消费者对药品的实际利用(即需求)有时并不是建立在对药品客观需要的基础上。比如医生不合理诱导,患者对药物不合理或过度利用,就是一种没有需要的需求。 4、药品需求分析的目的 (1)概括的讲,认识药品需求的特征,了解人们对药品需求(或利用)的主要影响因素,掌握药品需求的变动趋势,进而为宏观和微观的决策服务。 (2)宏观讲,药物需求分析可以更加准确地预测未来整个社会药品资源利用状况以及变动趋势,为政府科学地确定产业发展计划和规划,合理配置和使用药品资源提供了依据。另外,政府也可以在了解药品需求主要影响因素的基础上,采取一定的政策措施对其中的某种或某些因素施加影响,以达到改变或控制药品需求或利用的目的。 (3)微观讲,药品需求分析有助于医药生产经营企业了解未来市场某种或某类药品的需求量以及需求的变动趋势,进而合理的生产和向社会提供适宜的药品,把握经营的主动权,取得良好的经济和社会效益。 5、药品需求的特征 (1)不确定性:消费者对药品的需求不像对食物、住房、衣物等得需求那样稳定和可以预知。 (2)最高优先性:一是指在人们诸多需求中,对药物的需求(特别是治疗药物的需求)应是优先予以满足的需求;二是一旦生病,人们普遍存在一种心理,希望找最好的医生,用最好的药物。 (3)不可替代性:人们的其他生活需求往往可以找到替代品,但药品几乎不可替代。 (4)外部效应性:药品需求不仅仅是个人的需求,也是一项社会需求。人们接受药物治疗,受益的不仅仅是个人,而且也会使其他社会成员受益。 (5)需求缺乏弹性:人们出现健康问题,药品是必需品,但在健康时,药品价格再便宜对人们也是无用的。药品价格提高,需求量未必减少,价格下降,需求量未必增加。 (6)被动性:病患者作为药品的直接消费者或需求者,一般不掌握药品知识,处于被动和被支配的地位,而掌握医药知识的医生为患者进行消费或购买选择,处于主动和决定的地位,容易诱导和创造需求。 (7)独特的需求三方结构:即病患者、医生(或药剂师)、医疗保险机构。决定了个人收入变化和药品价格变化对药品市场需求影响有限,而医疗保险政策以及医生的处方行为成为影响药品市场需求的重要因素。 6、药品需求的影响因素 (1)一般经济学因素 ①经济发展水平:社会经济发展水平影响居民个人和家庭的收入水平,而收入水平又会影响居民个人或家庭药品需求状况,药品需求与社会经济的发展水平呈直接的正相关,且药品消费的增长速度一般高于

学习是进步的阶梯

学习是进步的阶梯 ----听王文涛讲座心得 边院中学陈凤平 新的一学期就要开始了,为促进教师的专业成长,为学生的更好发展奠基,我们学校领导在开学初特地邀请了肥城市教科所王文涛老师作了题为《行走在教师专业成长的道路上》专题报告。 7月26日下午,我们边院中学的老师,早早的来到二楼会议室静候王老师的到来,聆听王老师的报告。 本次专题讲座的内容主要三个方面进行,一是翻转课堂的实施;二是课题研究的进行;三是教育反思的撰写。 王文涛老师从翻转课堂的起源、概念、教学结构特点、翻转课堂的基本类型、实施程序以及手段等方面做了经典的讲解;在课题研究方面,王老师从教师为什么做课题研究、如何设计研究、如何开展研究、如何呈现研究成果、研究成果的使用等五个层面进行了诠释和解析;在撰写教育反思方面,王老师重点从教师如何撰写教育反思和教研论文方面进行了详实的指导。 长达3个小时的专业发展报告给我很大的启发:世界每天都是新的,我们的工作每天也是新的,不学习新的知识就会落伍跟不上时代的步伐。不反思不总结就会止步不前,在这个日新月异的时代,止步就是退步。通过学习,我对于微课程、翻转课堂、课题研究等这些深感困惑的理论有了比较清晰的认识。

听完王老师的报告,回想了自己20多年的教学生涯,刚开始工作那几年的的上进心,求知欲所剩无几,记得刚毕业时为了尽快的熟悉自己的所教的课程,自发、自费的订阅《中学物理》、《中学物理教学参考》等书籍。用心的听老教师的课,虚心的学习,到外地听课仔细地记录,认真的学习,把学来的东西用到自己的课堂上。我的课堂曾一度也取得了比较满意的效果,也曾得到了教研室等领导的认可,学生的好评。可是这几年,我觉得自己的课堂,自己的发展遇到了瓶颈期,以前的模式总在笼罩着我,难以突破。总觉得只要按以前的模式上好课,就万事大吉了。 今天突然意识到:现在的好课堂已今非昔比,今天的高效课堂要有现代理论的支撑,要有各种现代技术的融入,要有现代的理念的引领。所以,我想自己应该像小学生那样对新生事物充满好奇心,不断学习新的知识,尝试新的事物,不嫌麻烦,以积极的,年轻的心态迎接每一天。

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方倾斜的PC即为菲利普斯曲线。这条曲线表明,当失业率高(d)时通货膨胀率就低(b),当失业率低(c)时通货膨胀率就高(a)。 最初是说明失业率和货币工资变动率之间交替关系的一条曲线。它是由英国经济学家菲利普斯根据1861—1957年英国的失业率和货币工资变动率的经验统计资料提出来的,故称之为菲利普斯曲线。因为西方经济学家认为,货币工资率的提高是引起通货膨胀的原因,即货币工资率的增加超过劳动生产率的增加,引起物价上涨,从而导致通货膨胀。所以,菲利普斯曲线又成为当代经济学家用以表示失业率和通货膨胀之间此消彼长、相互交替关系的曲线。

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