Monte Carlo Calculation of Free Energy, Critical Point, and Surface Critical Behavior of Three-Dimensional Heisenberg Ferromagnets

Authors

M. P. Nightingale, University of Rhode IslandFollow
H. W.J. Blöte

Document Type

Article

Date of Original Version

4-11-1988

Abstract

A transfer-matrix Monte Carlo technique is developed to compute the free energy of three-dimensional, classical Heisenberg ferromagnets. From the free energy of systems with periodic and antiperiodic boundary conditions, helicity moduli are calculated. From these the critical couplings for simple-cubic (sc) and face-centered-cubic lattices are estimated by use of finite-size scaling. For the simple-cubic lattice, the critical dimension of the surface magnetization is estimated with standard Monte Carlo methods, yielding a result in excellent agreement with the ε-expansion work of Diehl and Nüsser.

Citation/Publisher Attribution

M. P. Nightingale and H. W. J. Blöte. (1988). "Monte Carlo calculation of free energy, critical point, and surface critical behavior of three-dimensional Heisenberg ferromagnets." Physical Review Letters, 60(15), 1562. Available at: http://dx.doi.org/10.1103/PhysRevLett.60.1562

Publisher Statement

©1988 The American Physical Society