The Square-Lattice Heisenberg Antiferromagnet at Very Large Correlation Lengths

Details The Square-Lattice Heisenberg Antiferromagnet at Very Large Correlation Lengths The Square-Lattice Heisenberg Antiferromagnet at Very Large Correlation Lengths

1997-09-09

arxiv.org/abs/cond-mat/9709110v2

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, RevTeX, plus two Postscript figures. Some minor modifications for final submission to Physical Review Letters. (acce

Scientific paper

10.1103/PhysRevLett.80.1742

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 $\xi \approx 350,000$ 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.

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