Interacting Electrons and Quantum Magnetism
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This book emphasizes the role that electron interactions play in the properties of condensed matter. It teaches the use of the powerful nonperturbative techniques that have become available in the last decades to discuss such topics as mixed valence systems, Kondo systems, heavy electrons, high-temperature copper oxide superconductors, the quantum Hall effect, and low-dimensional isotropic magnets. Mathematical derivations are self contained. Appendices provide standard many-body tools including second quantization, Grassmann variables, generating functionals, linear response, correlation functions, Fermi and Bose coherent-states path integrals, Matsubara representation, and the method of steepest descents. There are guided bibliographies and exercises at the end of each chapter.
List price: $84.99
Copyright year: 1994
Publication date: 9/11/1998
Size: 6.75" wide x 10.00" long x 1.00" tall
|Electron Interactions in Solids|
|The Hubbard Model and Its Descendants|
|Ground States of the Hubbard Model|
|Ground States of the Heisenberg Model|
|Disorder in Low Dimensions|
|Variational Wave Functions and Parent Hamiltonians|
|From Ground States to Excitations|
|The Spin Path Integral|
|Spin Wave Theory|
|The Continuum Approximation|
|Nonlinear Sigma Model: Weak Coupling|
|The Nonlinear Sigma Model: Large N|
|Quantum Antiferromagnets: Continuum Results|
|SU(N) Heisenberg Models|
|The Large N Expansion|
|Schwinger Bosons Mean Field Theory|
|The Semiclassical Theory of the t - J Model|
|Appendix A: Second Quantization|
|Appendix B: Linear Response and Generating Functionals|
|Appendix C: Bose and Fermi Coherent States|
|Appendix D: Coherent State Path Integrals|
|Appendix E: The Method of Steepest Descents|