High-accuracy Monte Carlo study of the three-dimensional classical Heisenberg ferromagnet

Abstract

Using extensive Monte Carlo simulations, we study the equilibrium properties of the simple-cubic, classical Heisenberg ferromagnet. We employ very long runs for L×L×L lattices to obtain high-precision data for the magnetization probability distribution. Using finite-size scaling for L≤24 and an optimized multiple-histogram data analysis, we obtain an accurate value of the inverse critical temperature J/${\mathit{k}}_{\mathit{B}}$ ${\mathit{T}}_{\mathit{c}}$=0.6929±0.0001, which is higher than previously accepted estimates. Calculated values of various static exponents are in excellent agreement with renormalization-group and ε-expansion predictions.