Electron Correlation in Metals

K. Yamada

doi:10.1017/CBO9780511534904

Since the discovery of high Tc superconductivity, the role of electron correlation on superconductivity has been an important issue in condensed matter physics. Here the role of electron correlation in metals is explained in detail on the basis of the Fermi liquid theory. The book, originally published in 2004, discusses the following issues: enhancements of electronic specific heat and magnetic susceptibility, effects of electron correlation on transport phenomena such as electric resistivity and Hall coefficient, magnetism, Mott transition and unconventional superconductivity. These originate commonly from the Coulomb repulsion between electrons. In particular, superconductivity in strongly correlated electron systems is discussed with a unified point of view. This book is written to explain interesting physics in metals for undergraduate and graduate students and researchers in condensed matter physics.

Review of the hardback:'The positive features of Electron Correlation in Metals are its treatments of diagrammatic techniques for the different topics. … When confronting a new problem, it is often instructive to take a first stab at it using perturbative techniques - and for that, Yamada is indeed an expert.'

Source: Physics Today

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Contents

Frontmatter
pp i-iv
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Contents
pp v-vi
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Preface
pp vii-x
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1 - Fermi gas
pp 1-21
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2 - Fermi liquid theory
pp 22-28
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3 - Anderson's orthogonality theorem
pp 29-48
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4 - s–d Hamiltonian and Kondo effect
pp 49-71
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5 - Anderson Hamiltonian
pp 72-102
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6 - Hubbard Hamiltonian
pp 103-121
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7 - Fermi liquid theory of strongly correlated electron systems
pp 122-146
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8 - Transport theory based on Fermi liquid theory
pp 147-158
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9 - Superconductivity in strongly correlated electron systems
pp 159-222
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Appendix A - Feynman relation
pp 223-223
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Appendix B - Second quantization
pp 224-225
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Appendix C - Interaction representation and thermal Green's function
pp 226-232
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Appendix D - Linear response theory
pp 233-237
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Appendix E - Transport equation derived by Éliashberg
pp 238-242
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Index
pp 243-245
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Electron Correlation in Metals

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-x

1 - Fermi gas
pp 1-21

2 - Fermi liquid theory
pp 22-28

3 - Anderson's orthogonality theorem
pp 29-48

4 - s–d Hamiltonian and Kondo effect
pp 49-71

5 - Anderson Hamiltonian
pp 72-102

6 - Hubbard Hamiltonian
pp 103-121

7 - Fermi liquid theory of strongly correlated electron systems
pp 122-146

8 - Transport theory based on Fermi liquid theory
pp 147-158

9 - Superconductivity in strongly correlated electron systems
pp 159-222

Appendix A - Feynman relation
pp 223-223

Appendix B - Second quantization
pp 224-225

Appendix C - Interaction representation and thermal Green's function
pp 226-232

Appendix D - Linear response theory
pp 233-237

Appendix E - Transport equation derived by Éliashberg
pp 238-242

Index
pp 243-245

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Electron Correlation in Metals

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