固态磁性导论

固态磁性导论
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作者: [奥] (Mohn.P)
2013-01
版次: 1
ISBN: 9787510050466
定价: 39.00
装帧: 平装
开本: 16开
纸张: 胶版纸
页数: 229页
字数: 24千字
正文语种: 英语
分类: 自然科学
  •   ThepresentgreatlyenlargedversionwasmainlywrittenduringasabbaticalattheuniversityofUppsaladuring2000.Theaimofthebookistopresentalargelyphenomenologicalintroductiontothefieldofsolidstatemagnetismatarelativelyelementarylevel.Thetwobasicconceptsofmagnetisminsolidsnamelythelocalizedandthedelocalizeddescriptionarepresentedastheextremeapproaches.Thetruenatureofmagnetismlies,asofteninlife,somewhereinbetween,sometimesshowingatendencytowardsthemorelocalizedside,sometimestendingtothedelocalizedside.Itisperhapsthismixingofconceptswhichmakesmagnetismappearcomplicatedanddifficult.Anothersourceofconfusionisthedifferentlanguageusedbytheoreticiansandexperimentalists.Ihavetriedveryhardtoclarifytheserathermoresemanticproblemsandtouseauniformnomenclaturethroughoutthebook.Itismybeliefandmyexperiencethattheapproachpresentedhereprovidesausefulintroductionnotonlyforthephysicist,butalsofortheinterestedreadercomingfromfieldslikechenustry,electricalengineeringorevengeo-sciences.Themathematicalconceptsusedarekeptrathersimpleandhardlyevergobeyondanundergraduatecourseinmathematicsforphysicists,chemistsorengineering.SincethebookemergedfromalecturecourseIhavegivenatViennaUniversityofTechnologyforthelast15years,thechaptersinthebookarenotcompletelyself-contained.Thefirst-timereaderisthusadvisedtoreadthechaptersinthesequencethattheyappearinthebook.ItismysincerehopethatafterhavingreadthisbookthereaderwillagreethatforoncetheEncyclopediaBrittanicaisinerrorwhenitstatesFewsubjectsin,sciencearem,oredifficulttoun,derstan,thanmagn.etism,(EncyclopediaBrittanica,15thedition1989).
      Thepresentbookdoesnotattempttocoverthewholefieldofsolidstatemagnetism,buttriestoprovideanoverviewbyselectingspecialtopics.Theideaistocreateaninterestinthisfascinatingfieldinwhichquantummechanics,thermodynamicsandcomputersimulationsjoinforcestoexplain"MagnetismintheSolidState". 1.AHistoricalIntroduction

    2.ConsequencesofFermiStatistics
    2.1QuantumStatisticsofFermions
    2.2FreeEnergyoftheFermiGas

    3.Paramagnetism
    4.EnergyBandsintheCrystal

    5.ExperimentalBasisofFerromagnetism
    5.1NickelAlloys
    5.2IronAlloys
    5.3PalladiumAlloys
    5.4Iron-NickelAlloys
    5.5EffectsofStrongMagneticFields
    5.6EffectsofHighPressure
    5.7EffectsofFiniteTemperature
    5.8SusceptibilityaboveTc
    5.8.1Susceptibilityof“ClassicalSpins”
    5.9Critical.Exponents
    5.10NeutronDiffraction
    5.11FurtherExperimentalMethods

    6.WeissMolecularFieldModel
    6.1Rhodes-WohlfarthPlot

    7.HeisenbergModel
    7.1MagnonOperators
    7.2HeisenbergHamiltonianinMagnonVariables
    7.3MagnonDispersionRelation
    7.3.1SpecificHeatofMagnons
    7.3.2OrderingTemperature
    7.4ApproximationsfortheHeisenbergModel
    7.4.1IsingModel
    7.4.2XYModel
    7.4.3MeanFieldSolutionsoftheHeisenbergModel

    8.ItinerantElectronsatOK
    8.1PauliSusceptibilityoftheItinerantElectrons
    8.2SusceptibilityoftheInteractingItinerantElectrons
    8.3NonlinearEffects
    8.4EffectsofIIighFieldsatOK
    8.4.1Non-magneticLimit
    8.4.2StrongFerromagnets
    8.4.3WeakFerromagnets
    8.4.4bccIronandhcpCobalt
    8.4.5ExtremelyHighFields
    8.4.6Metamagnetism
    8.5SusceptibilityofParamagneticAlloys

    9.BandGapTheoryofStrongFerromagnetism
    9.1MagnetismofAlloys

    10.MagnetismandtheCrystalStructure——CovalentMagnetism
    10.1CrystalStructureofMn,Fe,Co,andNi
    10.2CovalentMagnetism
    10.3CovalentPolarization

    11.MagneticImpuritiesinanElectronGas
    11.1ImpurityPotentialintheJellium
    11.2StrongPerturbationsintheJellium
    11.3LayerandLineDefects
    11.4MagneticImpuritiesandOscillationsoftheMagnetization

    12.ItinerantElectronsatT〉O:AHistoricalSurvey
    12.1ExcitationsatLowTemperatures
    12.1.1StronglyFerromagneticSystems
    12.1.2WeaklyFerromagneticSystems
    12.2StonerTheoryforaRectangularBand
    12.3WeakExcitationswithζ〈〈1

    13.HubbardModel
    13.1BeyondHartree-Fock

    14.LandauTheoryfortheStonerModel
    14.1GeneralConsiderations
    14.2ApplicationtotheStonerModel

    15.CouplingBetweenItinerantandLocalizedMoments

    16.OriginoftheMolecularField
    16.1Heitler-LondonTheoryfortheExchangeField
    16.1.1MagnetismofaSpinCluster
    16.1.2SpinwavesforLocalizedElectrons

    17.ExchangeandCorrelationinMetals
    17.1FreeElectronGas
    17.2TightlyBoundElectrons

    18.SpinFluctuations
    18.1FluctuationsofaThermodynamicalVariable
    18.2FluctuationsoftheMagneticMoment
    18.3SpecificHeatoftheSpinFluctuations
    18.4Magneto-VolumeCoupling
    18.5ApplicationsoftheSpinFluctuationModel
    18.6ComparingtheSpin-FluctuationandtheStoner-Model

    19.SingleParticleExcitationsVersusSpinWaves
    20.Landau-GinzburgModelforSpinFluctuations

    21.ConclusionandLookout
    A.Appendices
    A.ConvexityPropertyoftheFreeEnergy
    B.DerivationoftheCoefficientain(3.17)
    C.QuenchingoftheOrbitalMomentum
    D.Propertiesof“Classical”Spins
    E.DerivationoftheConstantcin(8.24)
    F.Ornstein-ZernickeExtension
    G.Bogoliubov-Peierls-FeynmanInequality
    H.TheFactor2inEquation(7.27)
    I.Hund‘sRules
    J.PolynomialCoefficientsin(18.12)
    K.ConversionBetweenMagneticUnits

    References
    Index
  • 内容简介:
      ThepresentgreatlyenlargedversionwasmainlywrittenduringasabbaticalattheuniversityofUppsaladuring2000.Theaimofthebookistopresentalargelyphenomenologicalintroductiontothefieldofsolidstatemagnetismatarelativelyelementarylevel.Thetwobasicconceptsofmagnetisminsolidsnamelythelocalizedandthedelocalizeddescriptionarepresentedastheextremeapproaches.Thetruenatureofmagnetismlies,asofteninlife,somewhereinbetween,sometimesshowingatendencytowardsthemorelocalizedside,sometimestendingtothedelocalizedside.Itisperhapsthismixingofconceptswhichmakesmagnetismappearcomplicatedanddifficult.Anothersourceofconfusionisthedifferentlanguageusedbytheoreticiansandexperimentalists.Ihavetriedveryhardtoclarifytheserathermoresemanticproblemsandtouseauniformnomenclaturethroughoutthebook.Itismybeliefandmyexperiencethattheapproachpresentedhereprovidesausefulintroductionnotonlyforthephysicist,butalsofortheinterestedreadercomingfromfieldslikechenustry,electricalengineeringorevengeo-sciences.Themathematicalconceptsusedarekeptrathersimpleandhardlyevergobeyondanundergraduatecourseinmathematicsforphysicists,chemistsorengineering.SincethebookemergedfromalecturecourseIhavegivenatViennaUniversityofTechnologyforthelast15years,thechaptersinthebookarenotcompletelyself-contained.Thefirst-timereaderisthusadvisedtoreadthechaptersinthesequencethattheyappearinthebook.ItismysincerehopethatafterhavingreadthisbookthereaderwillagreethatforoncetheEncyclopediaBrittanicaisinerrorwhenitstatesFewsubjectsin,sciencearem,oredifficulttoun,derstan,thanmagn.etism,(EncyclopediaBrittanica,15thedition1989).
      Thepresentbookdoesnotattempttocoverthewholefieldofsolidstatemagnetism,buttriestoprovideanoverviewbyselectingspecialtopics.Theideaistocreateaninterestinthisfascinatingfieldinwhichquantummechanics,thermodynamicsandcomputersimulationsjoinforcestoexplain"MagnetismintheSolidState".
  • 目录:
    1.AHistoricalIntroduction

    2.ConsequencesofFermiStatistics
    2.1QuantumStatisticsofFermions
    2.2FreeEnergyoftheFermiGas

    3.Paramagnetism
    4.EnergyBandsintheCrystal

    5.ExperimentalBasisofFerromagnetism
    5.1NickelAlloys
    5.2IronAlloys
    5.3PalladiumAlloys
    5.4Iron-NickelAlloys
    5.5EffectsofStrongMagneticFields
    5.6EffectsofHighPressure
    5.7EffectsofFiniteTemperature
    5.8SusceptibilityaboveTc
    5.8.1Susceptibilityof“ClassicalSpins”
    5.9Critical.Exponents
    5.10NeutronDiffraction
    5.11FurtherExperimentalMethods

    6.WeissMolecularFieldModel
    6.1Rhodes-WohlfarthPlot

    7.HeisenbergModel
    7.1MagnonOperators
    7.2HeisenbergHamiltonianinMagnonVariables
    7.3MagnonDispersionRelation
    7.3.1SpecificHeatofMagnons
    7.3.2OrderingTemperature
    7.4ApproximationsfortheHeisenbergModel
    7.4.1IsingModel
    7.4.2XYModel
    7.4.3MeanFieldSolutionsoftheHeisenbergModel

    8.ItinerantElectronsatOK
    8.1PauliSusceptibilityoftheItinerantElectrons
    8.2SusceptibilityoftheInteractingItinerantElectrons
    8.3NonlinearEffects
    8.4EffectsofIIighFieldsatOK
    8.4.1Non-magneticLimit
    8.4.2StrongFerromagnets
    8.4.3WeakFerromagnets
    8.4.4bccIronandhcpCobalt
    8.4.5ExtremelyHighFields
    8.4.6Metamagnetism
    8.5SusceptibilityofParamagneticAlloys

    9.BandGapTheoryofStrongFerromagnetism
    9.1MagnetismofAlloys

    10.MagnetismandtheCrystalStructure——CovalentMagnetism
    10.1CrystalStructureofMn,Fe,Co,andNi
    10.2CovalentMagnetism
    10.3CovalentPolarization

    11.MagneticImpuritiesinanElectronGas
    11.1ImpurityPotentialintheJellium
    11.2StrongPerturbationsintheJellium
    11.3LayerandLineDefects
    11.4MagneticImpuritiesandOscillationsoftheMagnetization

    12.ItinerantElectronsatT〉O:AHistoricalSurvey
    12.1ExcitationsatLowTemperatures
    12.1.1StronglyFerromagneticSystems
    12.1.2WeaklyFerromagneticSystems
    12.2StonerTheoryforaRectangularBand
    12.3WeakExcitationswithζ〈〈1

    13.HubbardModel
    13.1BeyondHartree-Fock

    14.LandauTheoryfortheStonerModel
    14.1GeneralConsiderations
    14.2ApplicationtotheStonerModel

    15.CouplingBetweenItinerantandLocalizedMoments

    16.OriginoftheMolecularField
    16.1Heitler-LondonTheoryfortheExchangeField
    16.1.1MagnetismofaSpinCluster
    16.1.2SpinwavesforLocalizedElectrons

    17.ExchangeandCorrelationinMetals
    17.1FreeElectronGas
    17.2TightlyBoundElectrons

    18.SpinFluctuations
    18.1FluctuationsofaThermodynamicalVariable
    18.2FluctuationsoftheMagneticMoment
    18.3SpecificHeatoftheSpinFluctuations
    18.4Magneto-VolumeCoupling
    18.5ApplicationsoftheSpinFluctuationModel
    18.6ComparingtheSpin-FluctuationandtheStoner-Model

    19.SingleParticleExcitationsVersusSpinWaves
    20.Landau-GinzburgModelforSpinFluctuations

    21.ConclusionandLookout
    A.Appendices
    A.ConvexityPropertyoftheFreeEnergy
    B.DerivationoftheCoefficientain(3.17)
    C.QuenchingoftheOrbitalMomentum
    D.Propertiesof“Classical”Spins
    E.DerivationoftheConstantcin(8.24)
    F.Ornstein-ZernickeExtension
    G.Bogoliubov-Peierls-FeynmanInequality
    H.TheFactor2inEquation(7.27)
    I.Hund‘sRules
    J.PolynomialCoefficientsin(18.12)
    K.ConversionBetweenMagneticUnits

    References
    Index
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