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Theory of Disordered Systems III. Single‐Site Theory of Transport in Systems with Randomly Distributed Scatterers
Author(s) -
Fischbeck H. J.
Publication year - 1972
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220530214
Subject(s) - simple (philosophy) , enhanced data rates for gsm evolution , mathematics , bethe–salpeter equation , electron , kernel (algebra) , physics , statistical physics , mathematical analysis , quantum mechanics , pure mathematics , computer science , bound state , telecommunications , philosophy , epistemology
In case of systems with randomly distributed scatterers the self‐consistent single‐site approximation of Schwartz and Ehrenreich [1] leads to a simple expression for the kernel of the Bethe‐Salpeter equation in terms of the local self‐energies. Thus, a consistent single‐site theory of linear response of such systems is given. It is applied to the disordered Kronig‐Penney model which permits exact solutions of the Schwartz‐Ehrenreich and the corresponding Bethe‐Salpeter equation. Numerical results of the density of states and the mobility of the electrons are given. The existence of a mobility edge is established.