CRITICAL EXPONENTS OF THE CLASSICAL 3-DIMENSIONAL HEISENBERG-MODEL - A SINGLE-CLUSTER MONTE-CARLO STUDY

Article

关键词: NONLINEAR SIGMA-MODEL;    ISING-MODEL;    RENORMALIZATION-GROUP;    PARTITION-FUNCTION;    PHASE-TRANSITIONS;    CRITICAL-DYNAMICS;    CRITICAL-BEHAVIOR;    COMPLEX ZEROS;    SPIN SYSTEMS;    XY-MODEL;   

DOI  :  10.1103/PhysRevB.48.936

来源: SCIE

【 摘 要 】

We have simulated the three-dimensional Heisenberg model on simple cubic lattices, using the single-cluster Monte Carlo update algorithm. The expected pronounced reduction of critical slowing down at the phase transition is verified. This allows simulations on significantly larger lattices than in previous studies and consequently a better control over systematic errors. In one set of simulations we employ the usual finite-size scaling methods to compute the critical exponents nu,alpha,beta,gamma,eta from a few measurements in the vicinity of the critical point, making extensive use of histogram reweighting and optimization techniques. In another set of simulations we report measurements of improved estimators for the spatial correlation length and the susceptibility in the high-temperature phase, obtained on lattices with up to 100(3) spins. This enables us to compute independent estimates of nu and gamma from power-law fits of their critical divergencies.

【 授权许可】

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