相互作用电子和量子磁性
2009-5
世界图书出版公司
阿萨奥尔马契
255
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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. It is in essence a weak coupling expan-sion about free quasiparticles. Many experimental discoveries during thelast decade, including heavy fermions, fractional quantum Hall effect, high-temperature superconductivity, and quantum spin chains, are not readilyaccessible from the weak coupling point of view. Therefore, recent yearshave seen vigorous development of alternative, nonperturbativc tools forhandling strong electron-electron interactions.I concentrate on two basic paradigms of strongly interacting （or con-strained） quantum systems: the Hubbard model and the Heisenberg model.These models are vehicles for fundamental concepts, such as effective Ha-miltonians, variational ground states, spontaneous symmetry breaking, andquantum disorder. In addition, they are used as test grounds for variousnonperturbative approximation schemes that have found applications indiverse areas of theoretical physics.The level of the text should be appropriate for a graduate student withsome background in solid state physics （single electron theory） and fa-miliarity with second quantization. The exercises vary in difficulty andcomplement the text with specific examples and corollaries. Some of themathematical background material is relegated to the appendices.
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.
作者：(以色列)阿萨奥尔马契
PrefaceⅠBasic Models 1 Electron Interactions in Solids 2 Spin Exchange The Hubbard Model and Its DescendantsⅡ Wave Functions and Correlations 4 Ground States of the Hubbard Model 5 Ground States of the Heisenberg Model 6 Disorder in Low Dimensions 7 Spin Representations 8 Variational Wave Functions and Parent Hamiltonians From Ground States to ExcitationsⅢ Path Integral Approximations 10 The Spin Path Integral 11 Spin Wave Theory 12 The Continuum Approximation 13 Nonlinear Sigma Model: Weak Coupling 14 The Nonlinear Sigma Model: Large N 15 Quantum Antlferromagnets: Continuum Results 16 SU(N) Helsenberg Models 17 The Large N Expansion 18 Schwinger Bosons Mean Field Theory 19 The Semiclassical Theory of the t - J ModelⅣ Mathematical Appendices Appendix A Second Quantigation Appendix B Linear Response and Generating Functlonals Appendix C Bose and Fermi Coherent States Appendix D Coherent State Path Integrals Appendix E The Method of Steepest DescentsIndex
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《相互作用电子和量子磁性(英文版)》由阿萨奥尔马契所著。
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内容写的有特色，值得一读
这本书需要一定的研究生理论物理基础，有一定难度，后半部分的讨论比较有价值~
非常专业的一本书，相信对从事量子、磁性研究的人员有用。