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×{}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/kB{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 {ε}-expansion predictions.