Temperature Dependence of the Shear Modulus and Melting of the Two-Dimensional Electron Solid

作者：R. Morf · 发表于：Physical Review Letters · 年份：1979 · DOI：10.1103/physrevlett.43.931 · 被引用次数：240 · 研究领域：Theoretical and Computational Physics、Quantum, superfluid, helium dynamics、Quantum and electron transport phenomena

The temperature dependence of the shear modulus $\ensuremath{\mu}$ in the two-dimensional electron solid has been determined in a computer simulation. It is found that at low temperatures $T$, $\ensuremath{\mu}$ decreases linearly with increasing $T$. A sharp drop of $\ensuremath{\mu}$ together with the onset of electron diffusion in the range $140>\ensuremath{\Gamma}>120$, where $\ensuremath{\Gamma}=\frac{{e}^{2}{(\ensuremath{\pi}{n}_{s})}^{\frac{1}{2}}}{{k}_{\mathrm{B}}T}$, suggestes a melting point consistent with the experiment by Grimes and Adams. The results presented here are consistent with recent theories of dislocation-mediated melting in two dimensions.