HIGH-ACCURACY MONTE-CARLO STUDY OF THE 3-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 x L x L lattices to obtain high-precision data for the magnetization probability distribution. Using finite-size scaling for L less-than-or-equal-to 24 and an optimized multiple-histogram data analysis, we obtain an accurate value of the inverse critical temperature J/k(B)T(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 epsilon-expansion predictions.