The one-dimensional Coulomb glass within the Bethe-Peierls-Weiss approximation
- 1 January 1993
- journal article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 5 (1), 57-66
- https://doi.org/10.1088/0953-8984/5/1/007
Abstract
The authors present a new analytical approach to the Coulomb glass problem in one dimension, using the Bethe-Peierls-Weiss (BPW) approximation. The single-particle density of states (DOS) at zero temperature is calculated analytically; it has a soft Coulomb gap at the Fermi energy. The self-consistency condition used within the BPW scheme influences the calculated DOS. They discuss the two possible limiting cases for the self-consistency condition which give an upper and a lower bound of the DOS. The upper limit yields a DOS similar to that following from the self-consistent equation of Efros (g( epsilon ) approximately 1/In( epsilon 0/ epsilon )); the lower limit gives a power-law Coulomb gap near the Fermi energy (g( epsilon ) approximately epsilon kappa , where kappa is proportional to the relative interaction strength).Keywords
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