Using both recently developed cluster-algorithm and histogram methods, we have carried out a high-resolution Monte Carlo study of static critical properties of classical ferromagnetic Heisenberg models. Extensive Monte Carlo simulations were performed at several temperatures in the critical region, using an improved cluster-updating scheme, on L×L×L simple-cubic and body-centered-cubic systems with L≤40. Thermodynamic quantities as a function of temperature in the vicinity of the critical point were obtained by an optimized multiple-histogram method, and the critical temperature and static critical exponents were extracted using finite-size scaling. Our best estimates for the inverse critical temperatures are 0.693 035(37) for the simple-cubic system and 0.486 798(12) for the body-centered-cubic system. Estimated static critical exponents for both systems agree with each other within their respective error bars, and the mean estimates ν=0.7048(30) and γ=1.3873(85) are also in excellent agreement with field-theoretic predictions 0.705(3) and 1.386(4).

• Received 21 January 1993

DOI:https://doi.org/10.1103/PhysRevB.48.3249