Abstract
Abstract Making use of the Green function method, we calculate the lowest order corrections to the shear modulus due to the anharmonicitv of the two dimensional electron lattice. In the classical limit and in the low temperature region, the shear modulus is found to be C(T) = C 0 {1−[3.5 1 n (0.195λr s s 1 2 )+95]λ −1 +O( λ −2 )} , where C 0 is the shear modulus in the harmonic approximation, λ=e 2 (r 0 k b T) −1 , r s =r 0 a b ,r 0 is the average interelectron distance, and a B is the Bohr radius. Substituting r s −4.8 × 10 3 corresponding to an experiment by Grimes and Adams, we obtain the melting temperature (i.e. the Kosterlitz-Thouless temperature) of the electron solid T M = 1 168 e 2 /(r 0 k B ) , which is consistent with recent experiment by Grimes et al.
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