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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.
Physical Review B – American Physical Society (APS)
Published: Feb 1, 1983
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