A Monte Carlo Study of Correlations in Quantum Spin Ladders

Abstract

We study antiferromagnetic spin--1/2 Heisenberg ladders, comprised of $n_c$ chains ($2\le n_c\le 6$) with ratio $J_{\perp }/J_{\Vert }$ of inter-- to intra--chain couplings. From measurements of the correlation function we deduce the correlation length $\xi (T)$. For even $n_c$, the static structure factor exhibits a peak at a temperature below the corresponding spin gap. Results for isotropically coupled ladders ($J_{\perp }/J_{\Vert }=1$) are compared to those for the single chain and the square lattice. For $J_{\perp }/J_{\Vert }\le 0.5$, the correlation function of the two--chain ladder is in excellent agreement with analytic results from conformal field theory, and $\xi (T)$ exhibits simple scaling behavior.

4 pages, 5 EPS figures, submitted to Phys. Rev. Lett

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