Numerical solution of electron motion in solids

Published under licence by IOP Publishing Ltd
, , Citation H D Rees 1972 J. Phys. C: Solid State Phys. 5 641 DOI 10.1088/0022-3719/5/6/006

0022-3719/5/6/641

Abstract

An analysis is given of the fundamental properties of an iterative numerical method, free of any inherent physical approximations, for evaluating electron transport effects in solids. A formulation applicable to both semiclassical and quantum calculations is used. The method is shown to reduce, in effect, to evaluation of the time development of an electron state, and its application to both steady state and time response calculations is considered. Conditions for iterative convergence are established that are less restrictive than those previously supposed.

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