Basic Aspects of the Quantum Theory of Solids: Order and Elementary Excitations

Daniel I. Khomskii

doi:10.1017/CBO9780511780271

Aimed at graduate students and researchers, this book covers the key aspects of the modern quantum theory of solids, including up-to-date ideas such as quantum fluctuations and strong electron correlations. It presents in the main concepts of the modern quantum theory of solids, as well as a general description of the essential theoretical methods required when working with these systems. Diverse topics such as general theory of phase transitions, harmonic and anharmonic lattices, Bose condensation and superfluidity, modern aspects of magnetism including resonating valence bonds, electrons in metals, and strong electron correlations are treated using unifying concepts of order and elementary excitations. The main theoretical tools used to treat these problems are introduced and explained in a simple way, and their applications are demonstrated through concrete examples.

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Contents

Frontmatter
pp i-iv
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Contents
pp v-viii
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Foreword and general introduction
pp ix-xiv
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1 - Some basic notions of classical and quantum statistical physics
pp 1-5
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2 - General theory of phase transitions
pp 6-30
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3 - Bose and Fermi statistics
pp 31-33
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4 - Phonons in crystals
pp 34-53
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5 - General Bose systems; Bose condensation
pp 54-69
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6 - Magnetism
pp 70-126
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7 - Electrons in metals
pp 127-132
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8 - Interacting electrons. Green functions and Feynman diagrams (methods of field theory in many-particle physics)
pp 133-158
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9 - Electrons with Coulomb interaction
pp 159-174
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10 - Fermi-liquid theory and its possible generalizations
pp 175-187
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11 - Instabilities and phase transitions in electronic systems
pp 188-228
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12 - Strongly correlated electrons
pp 229-271
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13 - Magnetic impurities in metals, Kondo effect, heavy fermions and mixed valence
pp 272-295
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Bibliography
pp 296-297
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Index
pp 298-301
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Basic Aspects of the Quantum Theory of Solids

Order and Elementary Excitations

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Contents

Frontmatter
pp i-iv

Contents
pp v-viii

Foreword and general introduction
pp ix-xiv

1 - Some basic notions of classical and quantum statistical physics
pp 1-5

2 - General theory of phase transitions
pp 6-30

3 - Bose and Fermi statistics
pp 31-33

4 - Phonons in crystals
pp 34-53

5 - General Bose systems; Bose condensation
pp 54-69

6 - Magnetism
pp 70-126

7 - Electrons in metals
pp 127-132

8 - Interacting electrons. Green functions and Feynman diagrams (methods of field theory in many-particle physics)
pp 133-158

9 - Electrons with Coulomb interaction
pp 159-174

10 - Fermi-liquid theory and its possible generalizations
pp 175-187

11 - Instabilities and phase transitions in electronic systems
pp 188-228

12 - Strongly correlated electrons
pp 229-271

13 - Magnetic impurities in metals, Kondo effect, heavy fermions and mixed valence
pp 272-295

Bibliography
pp 296-297

Index
pp 298-301

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Basic Aspects of the Quantum Theory of Solids

Order and Elementary Excitations

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