The melting of the classical two dimensional Wigner crystal
arXiv:1504.03570 · doi:10.1209/0295-5075/110/26003
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 -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.
6 pages, 5 figures, 1 table