The One-Dimensional Coulomb Glass within the Bethe-Peierls-Weiss Approximation
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).
T. Vojta and W. D. John, "The One-Dimensional Coulomb Glass within the Bethe-Peierls-Weiss Approximation," Journal of Physics: Condensed Matter, vol. 5, no. 1, pp. 57-66, Institute of Physics - IOP Publishing, Jan 1993.
The definitive version is available at https://doi.org/10.1088/0953-8984/5/1/007
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