Hubbard Model on the Pyrochlore Lattice: a 3D Quantum Spin Liquid
Abstract
We demonstrate that the insulating one-band Hubbard model on the pyrochlore lattice contains, for realistic parameters, an extended quantum spin-liquid phase. This is a three-dimensional spin liquid formed from a highly degenerate manifold of dimer-based states, which is a subset of the classical dimer coverings obeying the ice rules. It possesses spinon excitations, which are both massive and deconfined, and on doping it exhibits spin-charge separation. We discuss the realization of this state in effective S = 1/2 pyrochlore materials with and without spin-orbit coupling.
Cite
@article{arxiv.1308.3186,
title = {Hubbard Model on the Pyrochlore Lattice: a 3D Quantum Spin Liquid},
author = {B. Normand and Z. Nussinov},
journal= {arXiv preprint arXiv:1308.3186},
year = {2014}
}
Comments
5 + 5 pages, 5 + 4 figures; improvements to figures, significant extensions to i) discussion of loop construction, variational wavefunction and bilayer degeneracy and ii) proof of spin-liquid nature