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V. L. Berezinskii, “Destruction of Long Range Order in One Dimensional and Two Dimensional Systems Having a Continuous Symmetry Group I. Classical Systems,” Soviet Physics JETP, Vol. 32, 1971, pp. 493-500.

has been cited by the following article:

• TITLE: Nature of First-Order Transition in Planar Rotator Model with Modified Potential

  AUTHORS: Smita Ota, Snehadri Bihari Ota

  KEYWORDS: XY-Model; Spin Wave; Vortices

  JOURNAL NAME: Journal of Modern Physics, Vol.4 No.1, January 28, 2013

  ABSTRACT: We have carried out micro-canonical Monte Carlosimulations of a planar rotator model in 30 × 30 lattice using periodic boundary conditions. The energy distribution of the rotator in the lattice shows features that can be associated with spin wave and vortex excitations. The results supplement the first-order transition observed in canonicalMonte Carlosimulation, due to vortex nucleation. We also see features that can be associated with the in-homogeneity of vortex charge in the critical region.