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The Dependence of the Density of States Tail on the Random Potential Statistics
Author(s) -
Klochikhin A. A.,
Kühn O.,
Ogloblin S. G.
Publication year - 1990
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.2221600119
Subject(s) - saddle point , gaussian , statistical physics , limit (mathematics) , physics , range (aeronautics) , density of states , matter wave , wavelength , condensed matter physics , quantum mechanics , mathematics , mathematical analysis , materials science , quantum , geometry , composite material
The problem of the long‐range correlated random potential in a dielectric disordered system is studied by means of numerical solution of the saddle point equation. The obtained frequency dependence of the density of states displays the Halperin‐Lax behaviour at a correlation length small compared with the De'Broglie wavelength, it shows the Gaussian decreasing in the opposit limit and a relatively narrow region of a cross‐over Urbach‐like regime. The reasons are given in behalf of a predominant role of the fluctuations with the smallest correlation length possible for the system.