Localized Defects in Semiconductors
- 15 April 1967
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 156 (3) , 860-876
- https://doi.org/10.1103/physrev.156.860
Abstract
A method of calculating the energies of bound states associated with imperfections described by short-range potentials in semiconductors is presented and applied. The method is based on solid-state scattering theory and involves expansion of physical quantities in terms of the Wannier functions for a many-band system. The properties of Bloch functions and Wannier functions are investigated to enable the numerical computation of matrix elements. Application is made to the neutral vacancy in silicon. A pseudopotential is employed to represent the change in the crystal potential produced by the vacancy. It is found that the vacancy produces a localized state in which low-lying energy bands and interband couplings are important, in contrast to the shallow donor and acceptor states which have been studied in the past.Keywords
This publication has 18 references indexed in Scilit:
- The electronic structure of the tetrachedral N2centre and of the neutral vacancy in diamondProceedings of the Physical Society, 1966
- Phase factors of Bloch functions in the localized approximation of the Koster - Slater theoryProceedings of the Physical Society, 1965
- New Method for Treating Lattice Point Defects in Covalent CrystalsPhysical Review B, 1965
- Impurity States in Transition MetalsPhysical Review B, 1964
- Theory of Scattering in SolidsJournal of Mathematical Physics, 1964
- Electronic States of Single Vacancies in DiamondJournal of the Physics Society Japan, 1962
- Energy Levels in Irradiated GermaniumPhysical Review B, 1959
- Colour centres in irradiated diamonds. IProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957
- Impurity centers in Ge and SiPhysica, 1954
- Simplified Impurity CalculationPhysical Review B, 1954