Two-dimensional Coulomb gas: A Monte Carlo study
- 1 January 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 23 (1), 308-315
- https://doi.org/10.1103/physrevb.23.308
Abstract
The two-dimensional Coulomb gas with logarithmic interaction is studied by Monte Carlo simulation. We find clear evidence for the existence of a phase transition without referring to any theory. The analysis relies on the duality between Coulomb gas and discrete Gaussian model. The transition point is in excellent agreement with the Kosterlitz theory. The correlation functions support the renormalization-group results and disagree with the mean-field results.
Keywords
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