The Kosterlitz–Thouless transition in thin films: a Monte Carlo study of three-dimensional lattice models

DOI10.1088/1742-5468/2009/02/P02005zbMath1459.82360arXiv0811.2178OpenAlexW3104690359MaRDI QIDQ5220528

Martin Hasenbusch

Publication date: 27 March 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2178

zbMATH Keywords

finite-size scalingclassical Monte Carlo simulationscritical exponents and amplitudes (theory)surface effects (theory)

Mathematics Subject Classification ID

Monte Carlo methods applied to problems in statistical mechanics (82M31)

Related Items

The thermodynamic Casimir effect in the neighbourhood of the λ-transition: a Monte Carlo study of an improved three-dimensional lattice model, Coherent and dissipative dynamics at quantum phase transitions, The specific heat of thin films near the λ-transition: a Monte Carlo study of an improved three-dimensional lattice model, Conformal field theory and the hot phase of three-dimensional U(1) gauge theory, Monte Carlo simulations of dynamic phase transitions in ultrathin Blume-Capel films

Cites Work

• Critical phenomena and renormalization-group theory
• Renormalization group theory: Its basis and formulation in statistical physics
• Computing the roughening transition of Ising and solid-on-solid models by BCSOS model matching
• Universal amplitude ratios in the three-dimensional Ising model
• Universal amplitude ratios from numerical studies of the three-dimensional O(2) model
• High-precision Monte Carlo study of the 3DXY-universality class
• The two-dimensionalXYmodel at the transition temperature: a high-precision Monte Carlo study