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Electron spectral density in a disordered system of hard sphere scatterers

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  • Felderhof, B.U
  • Kauerauf, A

Abstract

The spectral density of an electron propagating in a disordered system of hard sphere scatterers is studied by use of a self-consistent approximation for the self-energy. The spectral density at fixed wavenumber is found to be a single-peaked function of energy. The approximation yields a sharp wavenumber-dependent band edge. For large wavenumbers the spectral density is well approximated by a Lorentzian, but for small wavenumbers it is dominated by a characteristic square root singularity at the band edge.

Suggested Citation

  • Felderhof, B.U & Kauerauf, A, 1995. "Electron spectral density in a disordered system of hard sphere scatterers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 376-389.
    • Handle: RePEc:eee:phsmap:v:220:y:1995:i:3:p:376-389
    DOI: 10.1016/0378-4371(95)00218-V
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    References listed on IDEAS

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    1. Charles G. Leathers & John S. Evans, 1974. "Veblen's Ideal and the Contemporary U.S. Economy: A Contrast," American Journal of Economics and Sociology, Wiley Blackwell, vol. 33(4), pages 409-409, October.
    2. Burschka, M.A. & Titulaer, U.M., 1982. "The kinetic boundary layer for the Fokker-Planck equation: A Brownian particle in a uniform field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 315-330.
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