Quantum disorder in the two-dimensional pyrochlore Heisenberg antiferromagnet

Preprint
Publisher Website
Google Scholar
  • 24 February 2001
Abstract
We present the results of an exact diagonalization study of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional version of the pyrochlore lattice, also known as the square lattice with crossings or the checkerboard lattice. Examining the low energy spectra for systems of up to 24 spins, we find that all clusters studied have non-degenerate ground states with total spin zero, and big energy gaps to states with higher total spin. We also find a large number of non-magnetic excitations at energies within this spin gap. Spin-spin and spin-Peierls correlation functions appear to be short-ranged, and we suggest that the ground state is a spin liquid. The properties of the model are quite similar to those observed previously in the spin-1/2 kagome Heisenberg antiferromagnet.

This publication has 0 references indexed in Scilit: