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Melting temperature of two-dimensional Wigner crystals: Anharmonic effects

Melting temperature of two-dimensional Wigner crystals: Anharmonic effects Making use of the Green's-function technique, we obtain the lowest-order corrections to the shear modulus due to anharmonicity. In the classical limit our result agrees with a recent result obtained by Fisher, resulting in Γ = 103 , where Γ = e 2 ( r 0 T M ) , r 0 is the interelectron distance, and T M is the melting temperature. More generally we obtain the shear modulus, which includes the quantum corrections as well. Assuming that even in the high-density limit the melting of the Wigner lattice is due to dissociation of bound dislocation pairs, the phase diagram is constructed. We find that the Wigner lattice becomes unstable for r s ( ≡ r 0 a B ) < 5.57 , where a B is the Bohr radius. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Melting temperature of two-dimensional Wigner crystals: Anharmonic effects

Physical Review B , Volume 27 (3) – Feb 1, 1983
7 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1983 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.27.1646
Publisher site
See Article on Publisher Site

Abstract

Making use of the Green's-function technique, we obtain the lowest-order corrections to the shear modulus due to anharmonicity. In the classical limit our result agrees with a recent result obtained by Fisher, resulting in Γ = 103 , where Γ = e 2 ( r 0 T M ) , r 0 is the interelectron distance, and T M is the melting temperature. More generally we obtain the shear modulus, which includes the quantum corrections as well. Assuming that even in the high-density limit the melting of the Wigner lattice is due to dissociation of bound dislocation pairs, the phase diagram is constructed. We find that the Wigner lattice becomes unstable for r s ( ≡ r 0 a B ) < 5.57 , where a B is the Bohr radius.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Feb 1, 1983

There are no references for this article.