| 词条 | 相互作用电子和量子磁性 |
| 释义 | 图书信息出版社: 世界图书出版公司; 第1版 (2009年5月1日) 外文书名: Interacting Electrons and Quantum Magnetism 平装: 255页 正文语种: 英语 开本: 24 ISBN: 7510004896, 9787510004896 条形码: 9787510004896 尺寸: 22 x 14.8 x 1.2 cm 重量: 318 g 作者简介作者：(以色列)阿萨奥尔马契 内容简介《相互作用电子和量子磁性(英文版)》内容为：In the excitement and rapid pace of developments, writing pedagogical textshas low priority for most researchers. However, in transforming my lecturenotesI into this book, I found a personal benefit: the organization of what Iunderstand in a （hopefully simple） logical sequence. Very little in this textis my original contribution. Most of the knowledge was collected from theresearch literature. Some was acquired by conversations with colleagues; akind of physics oral tradition passed between disciples of a similar faith.For many years, diagramatic perturbation theory has been the majortheoretical tool for treating interactions in metals, semiconductors, itiner-ant magnets, and superconductors. 目录Preface Ⅰ Basic Models 1 Electron Interactions in Solids 1.1 Single Electron Theory 1.2 Fields and Interactions 1.3 Magnitude of Interactions in Metals 1.4 Effective Models 1.5 Exercises 2 Spin Exchange 2.1 Ferromagnetic Exchange 2.2 Antiferromagnetic Exchange 2.3 Superexchange 2.4 Exercises 3 The Hubbard Model and Its Descendants 3.1 Truncating the Interactions 3.2 At Large U: The t-J Model 3.3 The Negative-U Model 3.3.1 The Pseudo-spin Model and Superconductivity 3.4 Exercises Ⅱ Wave Functions and Correlations 4 Ground States of the Hubbard Model 4.1 Variational Magnetic States 4.2 Some Ground State Theorems 4.3 Exercises 5 Ground States of the Heisenberg Model 5.1 The Antiferromagnet 5.2 Half-Odd Integer Spin Chains 5.3 Exercises 6 Disorder in Low Dimensions 6.1 Spontaneously Broken Symmetry 6.2 Mermin and Wagner's Theorem 6.3 Quantum Disorder at 6.4 Exercises 7 Spin Representations 7.1 Holstein-Primakoff Bosons 7.2 Schwinger Bosons 7.2.1 Spin Rotations 7.3 Spin Coherent States 7.3.1 The 0 Integrals 7.4 Exercises 8 Variational Wave Functions and Parent Hamiltonians 8.1 Valence Bond States 8.2 States 8.2.1 The Majumdar-Ghosh Hamiltonian 8.2.2 Square Lattice RVB States 8.3 Valence Bond Solids and AKLT Models 8.3.1 Correlations in Valence Bond Solids 8.4 Exercises 9 From Ground States to Excitations 9.1 The Single Mode Approximation 9.2 Goldstone Modes 9.3 The Haldane Gap and the SMA Ⅲ Path Integral Approximations 10 The Spin Path Integral 10.1 Construction of the Path Integral 10.1.1 The Green's Function 10.2 The Large S Expansion 10.2.1 Semiclassical Dynamics 10.2.2 Semiclassical Spectrum 10.3 Exercises 11 Spin Wave Theory 11.1 Spin Waves: Path Integral Approach 11.1.1 The Ferromagnet 11.1.2 The Antiferromagnet 11.2 Spin Waves: Holstein-Primakoff Approach 11.2.1 The Ferromagnet 11.2.2 The Antiferromagnet 11.3 Exercises 12 The Continuum Approximation 12.1 Haldane's Mapping 12.2 The Continuum Harniltonian 12.3 The Kinetic Term 12.4 Partition Function and Correlations 12.5 Exercises 13 Nonlinear Sigma Model: Weak Coupling 13.1 The Lattice Regularization 13.2 Weak Coupling Expansion 13.3 Poor Man's Renormalization 13.4 The/3 Function 13.5 Exercises 14 The Nonlinear Sigma Model: Large N 14.1 The CPI Formulation 14.2 CPU Models at Large N 14.3 Exercises 15 Quantum Antiferromagnets: Continuum Results 15.1 One Dimension, the e Term 15.2 One Dimension, Integer Spins 15.3 Two Dimensions 16 SU(N) Heisenberg Models 16.1 Ferromagnet, Schwinger Bosons 16.2 Antiferromagnet, Schwinger Bosons 16.3 Antiferromagnet, Constrained Fermions 16.4 The Generating Functional 16.5 The Hubbard-Stratonovich Transformation 16.6 Correlation Functions 17 The Large N Expansion 17.1 Fluctuations and Gauge Fields 17.2 1IN Expansion Diagrams 17.3 Sum Rules 17.3.1 Absence of Charge Fluctuations 17.3.2 On-Site Spin Fluctuations 17.4 Exercises 18 Schwinger Bosons Mean Field Theory 18.1 The Case of the Ferromagnet 18.1.1 One Dimension 18.1.2 Two Dimensions 18.2 The Case of the Antiferromagnet 18.2.1 Long-Range Antiferromagnetic Order 18.2.2 One Dimension 18.2.3 Two Dimensions 18.3 Exercises 19 The Semiclassical Theory of the Model 19.1 Schwinger Bosons and Slave Fermions 19.2 Spin-Hole Coherent States 19.3 The Classical Theory: Small Polarons 19.4 Polaron Dynamics and Spin Tunneling 19.5 The Model 19.5.1 Superconductivity? 19.6 Exercises Ⅳ Mathematical Appendices Appendix A Second Quantization A.1 Fock States A.2 Normal Bilinear Operators A.3 Noninteracting Hamiltonians A.4 Exercises Appendix B Linear Response and Generating Functionals B. 1 Spin Response Function B.2 Fluctuations and Dissipation B.3 The Generating Functional Appendix C Bose and Fermi Coherent States C.1 Complex Integration C.2 Grassmann Variables C.3 Coherent States C.4 Exercises Appendix D Coherent State Path Integrals D.1 Constructing the Path Integral D.2 Normal Bilinear Hamiltonians D.3 Matsubara Representation D.4 Matsubara Sums |
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