| Description |
1 online resource (211 pages) |
| Contents |
Intro -- Preface to the Second Edition -- Preface to the First Edition -- Contents -- 1 Introduction -- 2 Non-Interacting Electrons -- 2.1 Free Electrons -- 2.2 Electron in Electric and Magnetic Fields -- 2.2.1 Homogeneous, Constant Electric Field -- 2.2.2 Homogeneous, Constant Magnetic Field -- 2.2.2.1 Magnetization -- 2.2.3 Motion in a One-Dimensional Potential Well -- 2.3 Electrons in a Periodical Potential -- 2.3.1 Crystal Lattice -- 2.3.2 Bloch Functions -- 2.3.3 Periodical Boundary Conditions -- 2.3.4 The Approximation of Quasi-Free Electrons -- 2.3.5 The Kronig-Penney Model |
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2.3.6 Band Extrema, kp: Perturbation Theory and Effective Mass -- 2.3.7 Wannier Functions and Tight-Binding Approximation -- 2.3.8 Bloch Electron in a Homogeneous Electric Field -- 2.4 Electronic Occupation of States in a Crystal -- 2.4.1 Ground State Occupation of Bands: Conductors and Insulators -- 2.4.2 Spin-Orbit Coupling and Valence Band Splitting -- 2.5 Electron States Due to Deviations from Periodicity -- 2.5.1 Effective Mass Approximation -- 2.5.2 Intrinsic Semiconductors at Finite Temperatures -- 2.5.3 Ionic Impurities |
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2.5.4 Extrinsic Semiconductors at Finite Temperatures: Acceptors and Donors -- 2.6 Semiconductor Contacts -- 2.6.1 Electric Field Penetration into a Semiconductor -- 2.6.2 p-n Contact -- 3 Electron-Electron Interaction -- 3.1 The Exciton -- 3.1.1 Wannier Exciton -- 3.1.2 Exciton Beyond the Effective Mass Approximation -- 3.2 Many-Body Approach to the Solid State -- 3.2.1 Self-Consistent Approximations -- 3.2.2 Electron Gas with Coulomb Interactions -- 3.2.3 The Electron-Hole Plasma -- 3.2.4 Many-Body Perturbation Theory of Solid State -- 3.2.5 Adiabatic Perturbation Theory -- 4 Phonons |
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4.1 Lattice Oscillations -- 4.2 Classical Continuum Phonon-Model -- 4.2.1 Optical Phonons in Polar Semiconductors -- 4.2.2 Optical Eigenmodes -- 4.2.3 The Electron-Phonon Interaction -- 4.2.3.1 The Franck-Condon Effect -- 4.2.3.2 The Quantized Interaction of Electrons with Phonons -- 5 Transport Theory -- 5.1 Non-Equilibrium Phenomena -- 5.2 Classical Solvable Model of an Electron in a d.c. Electric Field Interacting with Phonons -- 5.3 The Boltzmann Equation -- 5.3.1 Classical Conductivity -- 5.4 Kinetic Coefficients -- 5.5 Master and Rate Equations -- 5.5.1 Master Equations |
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5.5.2 Rate Equations -- 5.6 Hopping Transport -- 5.6.1 Hopping Diffusion on a Periodic Cubic Lattice -- 5.6.2 Transverse Magneto-Resistance in Ultra-Strong Magnetic Field -- 5.6.3 Seebeck Coefficient for Hopping Conduction on Random Localized States -- 6 Optical Properties -- 6.1 Linear Response to a Time-Dependent External Perturbation -- 6.2 Equilibrium Linear Response -- 6.3 Dielectric Response of a Coulomb Interacting Electron System -- 6.4 The Full Nyquist Theorem -- 6.5 Dielectric Function of an Electron Plasma in the Hartree Approximation |
| Summary |
Designed to sit alongside more conventional established condensed matter physics textbooks, this compact volume offers a concise presentation of the principles of solid state theory, ideal for advanced students and researchers requiring an overview or a quick refresher on a specific topic. The book starts from the one-electron theory of solid state physics, moving through electron-electron interaction and many-body approximation schemes, to lattice oscillations and their interactions with electrons. Subsequent chapters discuss transport theory and optical properties, phase transitions and some properties of low-dimensional semiconductors. This extensively expanded second edition includes new material on adiabatic perturbation theory, kinetic coefficients, the Nyquist theorem, Bose condensation, and the field-theoretical approach to non-relativistic quantum electrodynamics. Throughout the text, mathematical proofs are often only sketched, and the final chapter of the book reviews some of the key concepts and formulae used in theoretical physics. Aimed primarily at graduate and advanced undergraduate students taking courses on condensed matter theory, the book serves as a study guide to reinforce concepts learned through conventional solid state texts. Researchers and lecturers will also find it a useful resource as a concise set of notes on fundamental topics |
| Notes |
6.6 The Transverse, Inter-Band Dielectric Response of an Electron-Hole Plasma |
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Print version record |
| Subject |
Solid state physics.
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Optical materials.
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Electronics -- Materials.
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Electronics -- Materials
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Optical materials
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Solid state physics
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| Form |
Electronic book
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| ISBN |
9783030373597 |
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3030373592 |
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3030373584 |
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9783030373580 |
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9783030373603 |
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3030373606 |
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9783030373610 |
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3030373614 |
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