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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 simple-cubic and body-centered-cubic systems with L40. 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 =0. 7048 (30) and =1. 3873 (85) are also in excellent agreement with field-theoretic predictions 0. 705 (3) and 1. 386 (4).
Chen et al. (Sun,) studied this question.