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

Using extensive Monte Carlo simulations, we study the equilibrium properties of the simple-cubic, classical Heisenberg ferromagnet. We employ very long runs for L lattices to obtain high-precision data for the magnetization probability distribution. Using finite-size scaling for L24 and an optimized multiple-histogram data analysis, we obtain an accurate value of the inverse critical temperature J/k₁T₂=0. 69290. 0001, which is higher than previously accepted estimates. Calculated values of various static exponents are in excellent agreement with renormalization-group and -expansion predictions.