Interacting Electrons and Quantum Magnetism.
- 1st ed.
- 1 online resource (249 pages)
- Graduate Texts in Contemporary Physics Series .
- Graduate Texts in Contemporary Physics Series .
Graduate Texts in Contemporary Physics -- Interacting Electrons and Quantum Magnetism -- Copyright -- Preface -- Contents -- Part I Basic Models -- 1 Electron Interactions in Solids -- 2 Spin Exchange -- 3 The Hubbard Model and Its Descendants -- Part II 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 -- 9 From Ground States to Excitations -- Part III 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 Antiferromagnets: Continuum Results -- 16 SU(N) Heisenberg Models -- 17 The Large N Expansion -- 18 Schwinger Bosons Mean Field Theory -- 19 The Semiclassical Theory of the t - J Model -- Part IV Mathematical Appendices -- 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 -- Index.