Numerical studies of a 36-site<i>kagome</i>´ antiferromagnet

TLDR

The authors used numerical diagonalization to obtain the ground‑state wave function of the spin‑1/2 kagome antiferromagnet and examined spin‑Peierls order via a four‑spin correlation function. Spin‑spin correlations and gaps show no magnetic order, the short‑range structure matches a dimer‑liquid model, and any spin‑Peierls order would be very weak.

Abstract

The ground-state wave function for the spin-1/2 quantum antiferromagnet on a 36-site kagome$iaa--- structure is found by numerical diagonalization. Spin-spin correlations and spin gaps indicate that the ground state of this system does not possess magnetic order. The spin-Peierls order is studied using a four-spin correlation function. The short-range structure in this correlation function is found to be consistent with a simple dimer-liquid model. The spin-Peierls order, if it exists, must be quite small.