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Reconciling the correlation length for high-spin Heisenberg antiferromagnets

B. B. Beard·V. Chudnovsky·P. Keller-Marxer
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Abstract

We present numerical results for the antiferromagnetic Heisenberg model (AFHM) that definitively confirm that chiral perturbation theory, corrected for cutoff effects in the AFHM, leads to a correct field-theoretical description of the low-temperature behavior of the spin correlation length for spins $S \geq 1/2$. With two independent quantum Monte Carlo algorithms and a finite-size-scaling technique, we explore correlation lengths up to $ξ\approx 10^5$ lattice spacings a for spins S=1 and 5/2. We show how the recent prediction of cutoff effects by P. Hasenfratz is approached for moderate $ξ/a={\cal O}(100)$, and smoothly connects with other approaches to modeling the AFHM at smaller correlation lengths.

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B. B. Beard, V. Chudnovsky, P. Keller-Marxer. 1999-10-19. Reconciling the correlation length for high-spin Heisenberg antiferromagnets. https://doi.org/10.1016/s0920-5632(00)91774-2

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