Exact Spin Liquid Ground States of the Quantum Dimer Model on the Square and Honeycomb Lattices

Details Exact Spin Liquid Ground States of the Quantum Dimer Model on the Square and Honeycomb Lattices Exact Spin Liquid Ground States of the Quantum Dimer Model on the Square and Honeycomb Lattices

2011-12-07

arxiv.org/abs/1112.1702v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages + supplemental materials, 2 figures

Scientific paper

We study a generalized quantum hard-core dimer model on the square and honeycomb lattices, allowing for first and second neighbor dimers. At generalized RK points, the exact ground states can be constructed, and ground-state correlation functions can be equated to those of interacting 1+1 dimensional Grassmann fields. When the concentration of second neighbor dimers is small, the ground state correlations are shown to be short-ranged corresponding to a (gaped) spin liquid phase. On a 2-torus, the ground states exhibit fourfold topological degeneracy. On a finite cylinder we have found a dramatic even-odd effect depending on the circumference, and propose that this can be used as a numerical diagnostic of gapped spin-liquid phases, more generally.

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