关联电子模型中的有限尺度效应:exact results
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作者(乌克兰)兹维亚金(A. A. Zvyagin)著
出版社北京大学出版社
ISBN9787301215548
出版时间2010-12
装帧平装
开本其他
定价64元
货号7855870
上书时间2024-12-30
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目录
Preface
1.Introduction
1.1 Why is the Topic of the Book Worthwhile Studying？
1.2 Thermodynamics
1.3 Statistical Mechanics： Simple Models
1.4 Mermin-Hohenberg Theorem
2.Quantum Spin-1/2 Chain with the Nearest-Neighbour Couplings
2.1 One-Dimensional Spin Hamiltonian
2.2 Ising Chain
2.3 Isotropic XY Ring
2.4 Ising Chain in a Transverse Magnetic Field
2.5 Dimerized XY Chain
3.Co-ordinate Bethe Ansatz for a Heisenberg-Ising Ring
3.1 Bethe Ansatz
3.2 Simple Solutions of the Bethe Ansatz Equations：Strings
3.3 Thermodynamic Bethe Ansatz
3.4 The Ground State Behaviour
3.5 Magnetic Field Behaviour in the Ground State：Wiener－Hopf Method
4.Correlated Electron Chains：Co-ordinate Bethe Ansatz
4.1 Hubbard Chain
4.2 t-J Chain
5.Algebraic Bethe Ansatz
5.1 The Algebraic Bethe Ansatz for a Spin-1/2 Chain
5.2 SU（2）-Symmetric Spin-S Chain
5.3 The Algebraic Bethe Ansatz for Correlated Electron Models
6.Correlated Quantum Chains with Open Boundary Conditions
6.1 Open Boundaries. XY and Ising Chains
6.2 Open Boundaries：Co-ordinate Bethe Ansatz for the Heisenberg-Ising Chain
6.3 Open Boundaries. The Algebraic Bethe Ansatz
6.4 Open Hubbard Chain
6.5 Open Supersymmetric t-J Chain
7.Correlated Quantum Chains with Isolated Impurities
7.1 Impurities in XY Chains
7.2 Impurities in Spin Chains：Bethe Ansatz
7.3 Impurity in Correlated Electron Chains
8.Correlated Quantum Chains with a Finite Concentration of Impurities
8.1 Impurities’Bands
8.2 Disodered Ensembles of Impurities in Correlated Chains “Quantum Transfer Matrix” Approach
9.Finite Size Corrections in Quantum Correlated Chains
9.1 Finite Size Corrections for Quantum Spin Chains
9.2 Finite Size Corrections for Correlated Electron Chains
9.3 Elements of Conformal Field Theory
9.4 Asymptotics of Correlation Functions
9.5 Persistent Currents in Correlated Electron Rings
10.Beyond the Integrability：Approximate Methods
10.1 Scaling Analysis
10.2 Bosonization
Bibliography
Index
精彩内容
本书主要讨论对象为低维关联电子系统。特别是以全面而明确的方式提供了一维强关联电子系统的准确结果。本书结合了电子宿主中磁和杂化掺杂的重要结果，并且包含了关于掺杂的相互作用系统的无序系综的准确的原创性结果。 这些模型描述了很多纳米物理学和纳米电子学中的低维电子系统。本书适合凝聚态物理以及相关领域的研究者和研究生阅读。
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