| Description |
1 online resource (462 pages) |
| Contents |
Cover; Half-title; Title page; Copyright information; Dedication; Table of contents; Preface; Part I Basic concepts: electrons and phonons; 1 Concept of a solid: qualitative introduction and overview; 1.1 Classification of solids; 1.2 A first model of a solid: interacting atoms; 1.3 A second model: elementary excitations; 1.4 Elementary excitations associated with solids and liquids; 1.5 External probes; 1.6 Dispersion curves; 1.7 Graphical representation of elementary excitations and probe particles; 1.8 Interactions among particles; 1.8.1 Quasiparticle-boson interactions |
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1.8.2 Quasiparticle-quasiparticle interactions1.8.3 Collective excitation interactions; 2 Electrons in crystals; 2.1 General Hamiltonian; 2.2 The Born-Oppenheimer adiabatic approximation; 2.3 The mean-field approximation; 2.4 The periodic potential approximation; 2.5 Translational symmetry, periodicity, and lattices; 3 Electronic energy bands; 3.1 Free electron model; 3.2 Symmetries and energy bands; 3.2.1 Symmetries and energy bands in one dimension; 3.2.2 Energy bands and gaps: the Kronig-Penney model; 3.3 Nearly-free electron model; 3.4 Tight-binding model |
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3.5 Electron (or hole) velocity in a band and the f-sum rule3.6 Periodic boundary conditions and summing over band states; 3.7 Energy bands for materials; 4 Lattice vibrations and phonons; 4.1 Lattice vibrations; 4.2 Second quantization and phonons; 4.3 Response functions: heat capacity; 4.4 Density of states; 4.4.1 The Debye approximation; 4.4.2 The Einstein spectrum; 4.5 Critical points and van Hove singularities; Part I Problems; Part II Electron interactions, dynamics, and responses; 5 Electron dynamics in crystals; 5.1 Effective Hamiltonian and Wannier functions |
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5.2 Electron dynamics in the effective Hamiltonian approach5.3 Shallow impurity states in semiconductors; 5.4 Motion in external fields; 5.5 Effective mass tensor; 5.6 Equations of motion, Berry phase, and Berry curvature; 6 Many-electron interactions: the homogeneous interacting electron gas and beyond; 6.1 The homogeneous interacting electron gas or jellium model; 6.2 Hartree-Fock treatment of the interacting electron gas; 6.3 Ground-state energy: Hartree-Fock and beyond; 6.4 Electron density and pair-correlation functions; 6.5 g(r, r) of the interacting electron gas |
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6.6 The exchange-correlation hole6.7 The exchange-correlation energy; 7 Density functional theory (DFT); 7.1 The ground state and density functional formalism; 7.2 The Kohn-Sham equations; 7.3 Ab initio pseudopotentials and density functional theory; 7.4 Some applications of DFT to electronic, structural, vibrational, and related ground-state properties; 8 The dielectric function for solids; 8.1 Linear response theory; 8.2 Self-consistent field framework; 8.3 The RPA dielectric function within DFT; 8.4 The homogeneous electron gas; 8.5 Some simple applications |
| Summary |
Based on an established course and covering the fundamentals, central areas and contemporary topics of this diverse field, Fundamentals of Condensed Matter Physics is a much-needed textbook for graduate students. The book begins with an introduction to the modern conceptual models of a solid from the points of view of interacting atoms and elementary excitations. It then provides students with a thorough grounding in electronic structure and many-body interactions as a starting point to understand many properties of condensed matter systems - electronic, structural, vibrational, thermal, optical, transport, magnetic and superconducting - and methods to calculate them. Taking readers through the concepts and techniques, the text gives both theoretically and experimentally inclined students the knowledge needed for research and teaching careers in this field. It features 246 illustrations, 9 tables and 100 homework problems, as well as numerous worked examples, for students to test their understanding. Solutions to the problems for instructors are available at www.cambridge.org/cohenlouie |
| Notes |
8.6 Some other properties of the dielectric function |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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Print version record |
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digitized 2020. HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Subject |
Condensed matter.
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Condensed matter
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Kondensierte Materie
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| Form |
Electronic book
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| Author |
Louie, Steven G
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| ISBN |
9781139031783 |
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1139031783 |
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