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Parquet approximation for a disordered two-dimensional electron gas in a strong transverse magnetic field

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  • Kleinert, P.
  • Schlegel, H.

Abstract

The density of states and the diagonal magnetoconductivity of a disordered two-dimensional electron gas under quantizing magnetic fields is treated in the parquet approximation. Results for the lowest Landau subband are obtained by considering the lowest-order irreducible vertex diagrams. An analytical solution is derived for a self-consistent approximation, which includes both particle-particle and particle-hole ladder diagrams. The parquet density of states agrees quite well with the exact result obtained by F. Wegner. The dependence on a short-range parameter is discussed. The diagonal magnetoconductivity is calculated in various approximations and the results are compared with each other. Possibilities to improve the calculation of the magnetoconductivity are discussed.

Suggested Citation

  • Kleinert, P. & Schlegel, H., 1995. "Parquet approximation for a disordered two-dimensional electron gas in a strong transverse magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 218(3), pages 507-525.
    • Handle: RePEc:eee:phsmap:v:218:y:1995:i:3:p:507-525
    DOI: 10.1016/0378-4371(95)00138-W
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    1. Eberhard Wettig, 1994. "Die Stellung der UdSSR und ihrer Nachfolgestaaten auf den Weltmärkten ausgewählter Stahlveredler," DIW Wochenbericht, DIW Berlin, German Institute for Economic Research, vol. 61(28), pages 480-483.
    2. Sundaresan, T.K. & Grab, B. & Uemura, K. & Cvjetanović, B., 1974. "Comparative epidemiological analysis of sanitation and immunization in the control of typhoid and cholera," American Journal of Public Health, American Public Health Association, vol. 64(9), pages 910-912.
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