Square-lattice heisenberg antiferromagnet at very large correlation lengths

B. B. Beard, R. J. Birgeneau, M. Greven, U. J. Wiese

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134 Scopus citations


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 ξ≈350000 lattice spacings, more than 3 orders of magnitude larger than in any previous study. We resolve a conundrum concerning the applicability of asymptotic-scaling formulas to experimentally and numerically determined correlation lengths. Our results have direct implications for the zero-temperature behavior of spin-1/2 ladders.

Original languageEnglish (US)
Pages (from-to)1742-1745
Number of pages4
JournalPhysical review letters
Issue number8
StatePublished - Feb 23 1998
Externally publishedYes


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