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Interacting Electrons and Quantum Magnetism

ISBN-10: 0387942866
ISBN-13: 9780387942865
Edition: 1994
Authors: Assa Auerbach
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Description: 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  More...

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Book details

Copyright year: 1994
Publisher: Springer
Publication date: 9/11/1998
Binding: Hardcover
Pages: 255
Size: 6.75" wide x 10.00" long x 1.00" tall
Weight: 1.188
Language: English

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.

Preface
Electron Interactions in Solids
Spin Exchange
The Hubbard Model and Its Descendants
Ground States of the Hubbard Model
Ground States of the Heisenberg Model
Disorder in Low Dimensions
Spin Representations
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
Index

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