Abstract
A model of a variable-band semiconductor which permits of an accurate solution is considered. The wave functions and an equation defining the energy spectrum of the system are obtained. The local density of states, which, generally speaking, is an oscillating function depending on the energy and number of lattice points is calculated. An accurate representation is introduced of the coordinate dependence of the region of the maximum of the local density of states, which is a generalization of the approximate representation of the curvature of the energy bands. In the case of a fairly smooth variation in the potential parameter of the variable-band system a comparison is made with the approximate band-structure pattern.
Similar content being viewed by others
Literature cited
J. Kroemer, RCA Rev.18, 332 (1957).
P. R. Emtage, J. Appl. Phys.33, 1950 (1962).
D. D. Martin and R. Stratton, Solid State Electron.9, 237 (1966).
T. Cora and F. Williams, Int. Conf. on II-VI Sem. Compounds, Benjamin, New York (1967); Phys. Rev.117, 1179 (1969).
H. Reis and J. L. Melquist, Phys. Rev.B10, 2576 (1974).
Z. A. Kasamanyan, Izv. Akad. Nauk Arm SSR, Fizika,9, 211 (1974).
Z. A. Kasamanyan, Izv. Vyssh. Ucheb. Zaved. Fizika, No. 11, 20 (1979).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 50–55, June, 1981.
Rights and permissions
About this article
Cite this article
Kasamanyan, Z.A. Local density of states in a model variable-band semiconductor. Soviet Physics Journal 24, 525–530 (1981). https://doi.org/10.1007/BF00892950
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00892950