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Interacting Electrons and Quantum Magnetism : Graduate Texts in Contemporary Physics - Assa Auerbach

Interacting Electrons and Quantum Magnetism

Graduate Texts in Contemporary Physics

Hardcover Published: September 1994
ISBN: 9780387942865
Number Of Pages: 255

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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.

Preface
Electron Interactions in Solidsp. 3
Spin Exchangep. 11
The Hubbard Model and Its Descendantsp. 21
Ground States of the Hubbard Modelp. 39
Ground States of the Heisenberg Modelp. 51
Disorder in Low Dimensionsp. 61
Spin Representationsp. 69
Variational Wave Functions and Parent Hamiltoniansp. 79
From Ground States to Excitationsp. 93
The Spin Path Integralp. 101
Spin Wave Theoryp. 113
The Continuum Approximationp. 129
Nonlinear Sigma Model: Weak Couplingp. 139
The Nonlinear Sigma Model: Large Np. 153
Quantum Antiferromagnets: Continuum Resultsp. 159
SU(N) Heisenberg Modelsp. 165
The Large N Expansionp. 175
Schwinger Bosons Mean Field Theoryp. 187
The Semiclassical Theory of the t - J Modelp. 205
Appendix A: Second Quantizationp. 225
Appendix B: Linear Response and Generating Functionalsp. 231
Appendix C: Bose and Fermi Coherent Statesp. 237
Appendix D: Coherent State Path Integralsp. 241
Appendix E: The Method of Steepest Descentsp. 249
Indexp. 253
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387942865
ISBN-10: 0387942866
Series: Graduate Texts in Contemporary Physics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 255
Published: September 1994
Publisher: SPRINGER VERLAG GMBH
Country of Publication: US
Dimensions (cm): 24.28 x 16.0  x 1.88
Weight (kg): 0.53
Edition Number: 2
Edition Type: Revised

Earn 271 Qantas Points
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