Band Theory Applied to Semiconductors

The sections in this article are General Principles From Discrete States to Bands Bloch Theorem for Crystalline Solids The Case of Disordered Systems The Effective Mass Approximation (EMA) Derivation of the Effective Mass Approximation for a Single Band Applications and Extensions The Calculation of Crystalline Band Structures Ab Initio Theories The Hartree Approximation The Hartree-Fock Approximation The Local Density Approximation Beyond Local Density (the G-W Approximation) The Pseudopotential Method Computational Techniques Plane Wave Expansion Localized Orbital Expansion Empirical Methods The Tight Binding Approximation The Empirical Pseudopotential Method Comparison with Experiments for Zinc-Blende Materials The General Shape of the Bands The Tight Binding Point of View The Empirical Pseudopotential Method The k-p Description and Effective Masses Optical Properties and Excitons Ab Initio Calculations of the Excitonic Spectrum A Detailed Comparison with Experiments Other Crystalline Materials with Lower Symmetry General Results for Covalent Materials with Coordination Lower than Four Chain-Like Structures Like Se and Te Layer Materials New Classes of Materials: The Antimony Chalcogenides Non-Crystalline Semiconductors The Densities of States of Amorphous Semiconductors Numerical Computations Dangling Bonds The Case of SiOx Glasses Disordered Alloys Definitions of the Different Approximations The Case of Zinc Blende Pseudobinary Alloys Systems with Lower Dimensionality Qualitative Features The Envelope Function Approximation Applications of the Envelope Function Approximation Silicon Quantum Dots