The Square-Lattice Heisenberg Antiferromagnet at Very Large Correlation Lengths
Abstract
The correlation length of the square-lattice spin-1/2 Heisenberg antiferromagnet is studied in the low-temperature (asymptotic-scaling) regime. Our novel approach combines a very efficient loop cluster algorithm -- operating directly in the Euclidean time continuum -- with finite-size scaling. This enables us to probe correlation lengths up to lattice spacings -- more than three orders of magnitude larger than any previous study. We resolve a conundrum concerning the applicability of asymptotic-scaling formulae to experimentally- and numerically-determined correlation lengths, and arrive at a very precise determination of the low-energy observables. Our results have direct implications for the zero-temperature behavior of spin-1/2 ladders.
Keywords
Cite
@article{arxiv.cond-mat/9709110,
title = {The Square-Lattice Heisenberg Antiferromagnet at Very Large Correlation Lengths},
author = {B. B. Beard and R. J. Birgeneau and M. Greven and U. -J. Wiese},
journal= {arXiv preprint arXiv:cond-mat/9709110},
year = {2009}
}
Comments
12 pages, RevTeX, plus two Postscript figures. Some minor modifications for final submission to Physical Review Letters. (accepted by PRL)