Abstract

The density of states (DS) of a disordered system with localised electronic states is studied in the vicinity of the Fermi level with the Monte-Carlo computer simulation for the two- and three-dimensional simple model. The minimisation of the total energy with respect to all one-electron transitions is shown to be a good approximation both for the total energy and for the DS. The electron-electron interaction drastically changes the DS in the vicinity of the Fermi level. The DS is shown to have a 'soft' Coulomb gap, and the self-consistent equation fits the results of simulation well. The finite size effect is also studied.

Keywords

CoulombPhysicsFermi levelMonte Carlo methodCondensed matter physicsFermi Gamma-ray Space TelescopeElectronFermi energyStatistical physicsBand gapDensity of statesQuantum mechanicsMathematics

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Publication Info

Year
1979
Type
article
Volume
12
Issue
6
Pages
1023-1034
Citations
154
Access
Closed

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S. D. Baranovskiǐ, A. L. Efros, Boris Gelmont et al. (1979). Coulomb gap in disordered systems: computer simulation. Journal of Physics C Solid State Physics , 12 (6) , 1023-1034. https://doi.org/10.1088/0022-3719/12/6/015

Identifiers

DOI
10.1088/0022-3719/12/6/015