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On the screening of impurities by a two dimensional electron gas in high magnetic fields

  • K. Heift
  • J. Hajdu
Magneto-Transport in 2D- and Intercalated Systems
Part of the Lecture Notes in Physics book series (LNP, volume 177)

Abstract

We consider the effective potential of an impurity charge placed into a two dimensional non-interacting electron gas at zero temperature and in the presence of a perpendicular, quantum limit magnetic field. Restricting ourselves to a one band model and describing the electronic self-energy due to the impurity scattering in the generalized Born approximation (GBA), it is possible to derive a selfconsistency equation for the RPA-dielectric function.

It is shown that the selfconsistent effective potential can approximately be described by the dimensionless screening parameter sol (k is the magnetic length). Numerical results are presented for sok as a function of the filling factor v at fixed values of the electron concentration and the magnetic field, respectively. The effective potential in real space is depicted for several values of sOP, representative for the situation met in experiments performed at fixed fields.

Keywords

Dielectric Function Filling Factor Effective Potential High Magnetic Field Vertex Correction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • K. Heift
    • 1
  • J. Hajdu
    • 1
  1. 1.Institut für Theoretische PhysikUniversität zu KölnKölnGermany

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