Hexagonal crystallization in a two-dimensional electron gas with disorder

Ulrich Wulf
Phys. Rev. B 52, 12120 – Published 15 October 1995
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Abstract

We develop a theory for the solidification of the two-dimensional electron gas in the presence of disorder. Our mean-field theory includes the electron-electron interaction in the Hartree-Fock approximation and the potential of random impurities in the self-consistent Born approximation. It is shown that the electron solid is stable in a wide range of disorder strengths and that the impurity interaction leads to a considerable lowering of the ground-state energy. At low disorder we obtain a Wigner crystal with a gap in the density of states, and at stronger disorder a phase with a nonvanishing density of states is formed. In the presence of disorder there is still a sharp melting transition of the electron solid. Depending on the disorder strength it occurs at a significantly lower temperature. This can explain differences in recent experiments.

  • Received 6 June 1995

DOI:https://doi.org/10.1103/PhysRevB.52.12120

©1995 American Physical Society

Authors & Affiliations

Ulrich Wulf

  • Technische Universität Cottbus, Fakultät 1, Postfach 101344, 03013 Cottbus, Germany

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Issue

Vol. 52, Iss. 16 — 15 October 1995

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