Problems of Linear Electron (Polaron) Transport Theory in Semiconductors

PrefaceKey to AbbreviationsChapter I Basic Relations in the Quantum Theory of Linear Transport Phenomena (Kubo Formula) 1. General Relations in Quantum Statistical Mechanics 1.1 Formulation of the Problem. Macroscopic Systems 1.2 Dynamical and Statistical (Thermal) Forces 1.3 Mean Values and the Density Matrix 1.4 Density of States (Spectral Density) and Green Functions 2. Kubo Formula for the Transport Coefficients 2.1 Linear Reaction of a System to Dynamical Forces 2.2 Linear Reaction of a System to Dynamical and Statistical Forces 3. General Properties and Modifications of Kubo Formula 3.1 Basic (Symmetry) Properties 3.2 Modifications of the General Kubo Formula 4. Phenomenological Transport Coefficients 4.1 Basic Relations 4.2 Thermoelectric, Galvanomagnetic and Thermomagnetic CoefficientsChapter II Elementary Excitations in a Crystalline Semiconductor 1. The Energy Spectrum 1.1 Introduction 1.2 Basic Problems of Semiconductor Crystal Dynamics 1.3 Elementary Excitations (Quasi-Particles) 2. Phonons 3. Conduction Electrons and Holes 3.1 The Hartree-Fock Approximation. Bloch and Wannier States 3.2 Some Effects of Electron-Electron Interactions 4. Dynamical and Thermodynamic Properties of Electrons and Holes in an almost Ideal Semiconductor 4.1 The Effective Hamiltonian 4.2 Point Defects. Localized and Quasi-Localized States 4.3 Some Remarks on the Thermodynamics of Charge Carriers in Semiconductors 4.4 Current-Carriers in a Strong Magnetic FieldChapter III Polarons and Polaron Scattering in an Ideal Semiconductor 1. The Problem of Polarons 2. Electron-Phonon Interaction in an Ideal Semiconductor 2.1 General Description 2.2 Polarization Phonons 2.3 Acoustic Phonons 3. Qualitative Analysis of the Dynamical Properties of a Phonon Polaron in an Ideal Crystal 3.1 Classifications of Polarons 3.2 The Polaron Binding Energy dp and Radius Rp 3.3 Effective Mass of the Polaron 3.4 Some Other Aspects of Polaron Properties 4. The Weak-Coupling Phonon Polaron in the Fröhlich Model 4.1 Formulation of the Problem. General Relations 4.2 Polarization and Acoustic Polarons 4.3 Resonance Scattering by Polarization Phonons 5. Polarization Continuum Polarons in an Ionic Crystal 5.1 Weak and Intermediate Coupling 5.2 Strong Coupling. Adiabatic Approximation 5.3 The Feynman PolaronChapter IV Linear Transport of Wide-Band Polarons in an Almost Ideal Semiconductor 1. The Transport Equation and Its Parameters 1.1 Introduction 1.2 The Boltzmann-Bloch Transport Equation 1.3 Criteria of the Boltzmann-Bloch Transport Equation 2. Transport Coefficients and Relaxation Transport Times 2.1 Elastic Scattering 2.2 Isotropic Elastic Scattering 3. Transport Coefficients (Continued) 3.1 Elastic Scattering in Anisotropic Bands 3.2 Inelastic and Anisotropic Scattering. The Variational Method for Calculating Transport Coefficients 3.3 The Matthiessen Rule 4. Basic Relations for the Transport Coefficients in Simple Specific Cases 4.1 The Simplest Relations for the Transport Coefficients 4.2 Frequency-Dependent Electrical Conductivity of Wide-Band Feynman Polarons 5. Non-Boltzmann Conductivity. Conductivity in the Quantum Range of Strong Magnetic Fields 5.1 Introduction 5.2 Conductivity in Strong Quantizing Magnetic Fields 5.3 Quantum Transport Equation in Strong Quantizing Magnetic FieldsChapter V Basic Theory of the Dynamical and Transport Properties of Small Polarons in an Almost Ideal Crystal 1. Low Mobility in an Ideal Crystal: Qualitative Survey 1.1 Introduction 1.