M. N. Barber, “Phase Transitions in Two Dimensions,” Physics Reports, Vol. 59, No. 4, 1980, pp. 375-409. doi:10.1016/0370-1573(80)90026-5
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.