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arXiv · 1504.03570

The melting of the classical two dimensional Wigner crystal

Martial Mazars
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Abstract

We report an extensive Monte-Carlo study of the melting of the classical two dimensional Wigner crystal for a system of point particles interacting via the $1/r$-Coulomb potential. A hexatic phase is found in systems large enough. With the multiple histograms method and the finite size scaling theory, we show that the fluid/hexatic phase transition is weakly first order. No set of critical exponents, consistent with a Kosterlitz-Thouless transition and the finite size scaling analysis for this transition, have been found.

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Martial Mazars. 2015-04-08. The melting of the classical two dimensional Wigner crystal. https://doi.org/10.1209/0295-5075/110/26003

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