A Monte Carlo Study of Correlations in Quantum Spin Ladders

Details A Monte Carlo Study of Correlations in Quantum Spin Ladders A Monte Carlo Study of Correlations in Quantum Spin Ladders

1996-05-10

arxiv.org/abs/cond-mat/9605068v1

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevLett.77.1865

We study antiferromagnetic spin--1/2 Heisenberg ladders, comprised of $n_c$ chains ($2 \leq n_c \leq 6$) with ratio $J_{\bot}/J_{\|}$ 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 ($J_{\bot}/J_{\|} = 1$) are compared to those for the single chain and the square lattice. For $J_{\bot}/J_{\|} \leq 0.5$, 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.

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