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Wigner transition temperature of a two-dimensional electron gas in a strong magnetic field

Wigner transition temperature of a two-dimensional electron gas in a strong magnetic field Within the Hartree-Fock approximation the transition temperature T c of a two-dimensional electron gas of density n in a strong magnetic field B is studied in the nondegenerate limit n B → 0 . By means of an asymptotically correct calculation it is shown that the ansatz of a strongly anharmonic, unidirectional charge-density wave (CDW) for the condensed state leads, apart from weak logarithmic corrections, to the limiting form T c ∼ n 1 2 . The ansatz of an essentially harmonic, though triangular symmetric CDW leads to much smaller limiting values T c ∼ n B - 1 2 . This demonstrates the importance of the anharmonicity of the CDW or, equivalently, of the sharp localization of electronic wave functions in the nondegenerate limit. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Wigner transition temperature of a two-dimensional electron gas in a strong magnetic field

Physical Review B , Volume 24 (7) – Oct 1, 1981
4 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1981 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.24.4068
Publisher site
See Article on Publisher Site

Abstract

Within the Hartree-Fock approximation the transition temperature T c of a two-dimensional electron gas of density n in a strong magnetic field B is studied in the nondegenerate limit n B → 0 . By means of an asymptotically correct calculation it is shown that the ansatz of a strongly anharmonic, unidirectional charge-density wave (CDW) for the condensed state leads, apart from weak logarithmic corrections, to the limiting form T c ∼ n 1 2 . The ansatz of an essentially harmonic, though triangular symmetric CDW leads to much smaller limiting values T c ∼ n B - 1 2 . This demonstrates the importance of the anharmonicity of the CDW or, equivalently, of the sharp localization of electronic wave functions in the nondegenerate limit.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Oct 1, 1981

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