Finite size scaling and first order phase transition in a modified XY-model

Abstract

Monte Carlo simulation has been performed in a two-dimensional modified XY-model first proposed by Domany et. al [E. Domany, M. Schick and R. H. Swendsen, Phys. Rev. Lett. 52, 1535 (1984)]. The cluster algorithm of Wolff has been used and multiple histogram reweighting is performed. The first order scaling behavior of the quantities like specific heat, order parameter susceptibility and free energy barrier are found to be obeyed accurately. While the lowest order correlation function was found to decay to zero at long distance just above the transition, the next higher order correlation function shows a non-zero plateau.

18 pages, 10 figures, Accepted for publication in Phys. Rev. E

References in corpus (1)

• Performance of Wang-Landau algorithm in continuous spin models and a case study : modified XY-model

Cited by in corpus (8)

• $XY$ model with higher-order exchange
• Magnetic quasi-long-range ordering in nematics due to competition between higher-order couplings
• Role of topological defects in the phase transition of modified XY model : A Monte Carlo study
• Phase transition of two-dimensional generalized XY model
• Non-universal behavior of helicity modulus in a dense defect system
• First-order transition in $XY$ model with higher-order interactions
• Extending multiple histogram reweighting to a continuous lattice spin system exhibiting a first order phase transition
• Generalized $XY$ model with competing antiferromagnetic and antinematic interactions