相互作用电子和量子磁性（英文版）

图书标准信息

• 作者 [以色列]阿萨奥尔巴契 著
• 出版社 世界图书出版公司
• 出版时间 2009-05
• 版次 1
• ISBN 9787510004896
• 定价 32.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 255页
• 正文语种 英语

【内容简介】

Intheexcitementandrapidpaceofdevelopments，writingpedagogicaltextshaslowpriorityformostresearchers.However，intransformingmylecturenotesIintothisbook，Ifoundapersonalbenefit：theorganizationofwhatIunderstandina（hopefullysimple）logicalsequence.Verylittleinthistextismyoriginalcontribution.Mostoftheknowledgewascollectedfromtheresearchliterature.Somewasacquiredbyconversationswithcolleagues;akindofphysicsoraltraditionpassedbetweendisciplesofasimilarfaith.Formanyyears，diagramaticperturbationtheoryhasbeenthemajortheoreticaltoolfortreatinginteractionsinmetals，semiconductors，itiner-antmagnets，andsuperconductors.

【目录】

Preface
ⅠBasicModels
1ElectronInteractionsinSolids
1.1SingleElectronTheory
1.2FieldsandInteractions
1.3MagnitudeofInteractionsinMetals
1.4EffectiveModels
1.5Exercises
2SpinExchange
2.1FerromagneticExchange
2.2AntiferromagneticExchange
2.3Superexchange
2.4Exercises
3TheHubbardModelandItsDescendants
3.1TruncatingtheInteractions
3.2AtLargeU：Thet-JModel
3.3TheNegative-UModel
3.3.1ThePseudo-spinModelandSuperconductivity
3.4Exercises

ⅡWaveFunctionsandCorrelations
4GroundStatesoftheHubbardModel
4.1VariationalMagneticStates
4.2SomeGroundStateTheorems
4.3Exercises
5GroundStatesoftheHeisenbergModel
5.1TheAntiferromagnet
5.2Half-OddIntegerSpinChains
5.3Exercises
6DisorderinLowDimensions
6.1SpontaneouslyBrokenSymmetry
6.2MerminandWagnersTheorem
6.3QuantumDisorderat
6.4Exercises
7SpinRepresentations
7.1Holstein-PrimakoffBosons
7.2SchwingerBosons
7.2.1SpinRotations
7.3SpinCoherentStates
7.3.1The0Integrals
7.4Exercises
8VariationalWaveFunctionsandParentHamiltonians
8.1ValenceBondStates
8.2States
8.2.1TheMajumdar-GhoshHamiltonian
8.2.2SquareLatticeRVBStates
8.3ValenceBondSolidsandAKLTModels
8.3.1CorrelationsinValenceBondSolids
8.4Exercises
9FromGroundStatestoExcitations
9.1TheSingleModeApproximation
9.2GoldstoneModes
9.3TheHaldaneGapandtheSMA

ⅢPathIntegralApproximations
10TheSpinPathIntegral
10.1ConstructionofthePathIntegral
10.1.1TheGreensFunction
10.2TheLargeSExpansion
10.2.1SemiclassicalDynamics
10.2.2SemiclassicalSpectrum
10.3Exercises
11SpinWaveTheory
11.1SpinWaves：PathIntegralApproach
11.1.1TheFerromagnet
11.1.2TheAntiferromagnet
11.2SpinWaves：Holstein-PrimakoffApproach
11.2.1TheFerromagnet
11.2.2TheAntiferromagnet
11.3Exercises
12TheContinuumApproximation
12.1HaldanesMapping
12.2TheContinuumHarniltonian
12.3TheKineticTerm
12.4PartitionFunctionandCorrelations
12.5Exercises
13NonlinearSigmaModel：WeakCoupling
13.1TheLatticeRegularization
13.2WeakCouplingExpansion
13.3PoorMansRenormalization
13.4The/3Function
13.5Exercises
14TheNonlinearSigmaModel：LargeN
14.1TheCPIFormulation
14.2CPUModelsatLargeN
14.3Exercises
15QuantumAntiferromagnets：ContinuumResults
15.1OneDimension，theeTerm
15.2OneDimension，IntegerSpins
15.3TwoDimensions
16SU(N)HeisenbergModels
16.1Ferromagnet，SchwingerBosons
16.2Antiferromagnet，SchwingerBosons
16.3Antiferromagnet，ConstrainedFermions
16.4TheGeneratingFunctional
16.5TheHubbard-StratonovichTransformation
16.6CorrelationFunctions
17TheLargeNExpansion
17.1FluctuationsandGaugeFields
17.21INExpansionDiagrams
17.3SumRules
17.3.1AbsenceofChargeFluctuations
17.3.2On-SiteSpinFluctuations
17.4Exercises
18SchwingerBosonsMeanFieldTheory
18.1TheCaseoftheFerromagnet
18.1.1OneDimension
18.1.2TwoDimensions
18.2TheCaseoftheAntiferromagnet
18.2.1Long-RangeAntiferromagneticOrder
18.2.2OneDimension
18.2.3TwoDimensions
18.3Exercises
19TheSemiclassicalTheoryoftheModel
19.1SchwingerBosonsandSlaveFermions
19.2Spin-HoleCoherentStates
19.3TheClassicalTheory：SmallPolarons
19.4PolaronDynamicsandSpinTunneling
19.5TheModel
19.5.1Superconductivity?
19.6Exercises

ⅣMathematicalAppendices
AppendixA
SecondQuantization
A.1FockStates
A.2NormalBilinearOperators
A.3NoninteractingHamiltonians
A.4Exercises
AppendixB
LinearResponseandGeneratingFunctionals
B.1SpinResponseFunction
B.2FluctuationsandDissipation
B.3TheGeneratingFunctional
AppendixC
BoseandFermiCoherentStates
C.1ComplexIntegration
C.2GrassmannVariables
C.3CoherentStates
C.4Exercises
AppendixD
CoherentStatePathIntegrals
D.1ConstructingthePathIntegral
D.2NormalBilinearHamiltonians
D.3MatsubaraRepresentation
D.4MatsubaraSums