Quantum disorder in the two-dimensional pyrochlore Heisenberg antiferromagnet

Details Quantum disorder in the two-dimensional pyrochlore Heisenberg antiferromagnet Quantum disorder in the two-dimensional pyrochlore Heisenberg antiferromagnet

2001-02-24

arxiv.org/abs/cond-mat/0102447v2

Phys. Rev. B 64, 94412 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 11 figures, RevTeX minor changes made, Figure 6 corrected

Scientific paper

10.1103/PhysRevB.64.094412

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.

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