Kosterlitz-Thouless Transition in the Two-Dimensional Plane Rotator and Coulomb Gas
- 13 April 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 46 (15), 1006-1009
- https://doi.org/10.1103/physrevlett.46.1006
Abstract
We describe a rigorous argument establishing the Berezinski-Kosterlitz-Thouless transition in a class of two-dimensional models including the plane rotator and the Coulomb gas. The main idea is to rewrite correlations in the Coulomb gas as super-positions of correlations in gases of neutral molecules of variable size and small effective activity.Keywords
This publication has 12 references indexed in Scilit:
- Debye screeningCommunications in Mathematical Physics, 1980
- Lack of screening in the continuous dipole systemsCommunications in Mathematical Physics, 1979
- A rigorous approach to Debye screening in dilute classical coulomb systemsCommunications in Mathematical Physics, 1978
- Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar modelPhysical Review B, 1977
- Theory of one- and two-dimensional magnets with an easy magnetization plane. II. The planar, classical, two-dimensional magnetJournal de Physique, 1975
- Ordering, metastability and phase transitions in two-dimensional systemsJournal of Physics C: Solid State Physics, 1973
- Determination of an Operator Algebra for the Two-Dimensional Ising ModelPhysical Review B, 1971
- Absence of Ordering in Certain Classical SystemsJournal of Mathematical Physics, 1967
- Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg ModelsPhysical Review Letters, 1966
- Partition functions as averages of functionals of gaussian random functionsPhysica, 1960