Critical Exponents of the Classical 3D Heisenberg Model: A Single-Cluster Monte Carlo Study
Abstract
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 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 spins. This enables us to compute independent estimates of and from power-law fits of their critical divergencies.
Keywords
Cite
@article{arxiv.hep-lat/9301002,
title = {Critical Exponents of the Classical 3D Heisenberg Model: A Single-Cluster Monte Carlo Study},
author = {Christian Holm and Wolfhard Janke},
journal= {arXiv preprint arXiv:hep-lat/9301002},
year = {2009}
}
Comments
33 pages, 12 figures (not included, available on request). Preprint FUB-HEP 19/92, HLRZ 77/92, September 1992