Monte Carlo simulation of a two-dimensional continuum Coulomb gas

Details Monte Carlo simulation of a two-dimensional continuum Coulomb gas Monte Carlo simulation of a two-dimensional continuum Coulomb gas

1996-07-04

arxiv.org/abs/cond-mat/9607025v1

Phys. Rev. B 55, 522 (1997).

Physics

Condensed Matter

10 pages RevTeX, 7 postscript figures included using epsf

Scientific paper

10.1103/PhysRevB.55.522

We study the classical two-dimensional Coulomb gas model for thermal vortex fluctuations in thin superconducting/superfluid films by Monte Carlo simulation of a grand canonical vortex ensemble defined on a continuum. The Kosterlitz-Thouless transition is well understood at low vortex density, but at high vortex density the nature of the phase diagram and of the vortex phase transition is less clear. From our Monte Carlo data we construct phase diagrams for the 2D Coulomb gas without any restrictions on the vortex density. For negative vortex chemical potential (positive vortex core energy) we always find a Kosterlitz-Thouless transition. Only if the Coulomb interaction is supplemented with a short-distance repulsion, a first order transition line is found, above some positive value of the vortex chemical potential.

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