Reconciling the correlation length for high-spin Heisenberg antiferromagnets

Details Reconciling the correlation length for high-spin Heisenberg antiferromagnets Reconciling the correlation length for high-spin Heisenberg antiferromagnets

1999-10-19

arxiv.org/abs/cond-mat/9910291v1

Nucl.Phys.Proc.Suppl. 83 (2000) 682-684

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages plus 3 EPS figures, submitted to PRL

Scientific paper

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 $\xi \approx 10^5$ 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 $\xi/a={\cal O}(100)$, and smoothly connects with other approaches to modeling the AFHM at smaller correlation lengths.

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