The melting of the classical two-dimensional Wigner crystal
Laboratoire de Physique Théorique (UMR 8627), Université de Paris-Sud and CNRS Bâtiment 210, 91405 Orsay Cedex, France
Received: 2 February 2015
Accepted: 8 April 2015
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 large enough systems. 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, has been found.
PACS: 64.70.D- – Solid-liquid transitions / 64.60.qe – General theory and computer simulations of nucleation / 64.60.an – Finite-size systems
© EPLA, 2015