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
This publication has 21 references indexed in Scilit:
- Magnetic Correlation Function of the Two-Dimensional Planar Spin Model: Self-Consistent CalculationProgress of Theoretical Physics, 1979
- Self-consistent calculation of statics and dynamics of the roughening transitionZeitschrift für Physik B Condensed Matter, 1978
- The d-dimensional Coulomb gas and the roughening transitionJournal of Physics C: Solid State Physics, 1977
- Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar modelPhysical Review B, 1977
- Magnetic susceptibility of a one-dimensional Fermi system and dielectric function of a two-dimensional Coulomb gasZeitschrift für Physik B Condensed Matter, 1977
- Exactly Solvable Model for the Roughening Transition of a Crystal SurfacePhysical Review Letters, 1977
- Dielectric response of the two-dimensional Coulomb gasSolid State Communications, 1976
- Free energy and excitation spectrum of a one-dimensional fermi systemZeitschrift für Physik B Condensed Matter, 1975
- The critical properties of the two-dimensional xy modelJournal of Physics C: Solid State Physics, 1974
- Ordering, metastability and phase transitions in two-dimensional systemsJournal of Physics C: Solid State Physics, 1973