Gia-Wei Chern, Congjun Wu
We propose a novel four-coloring model which describes "frustrated superfluidity" of p-band bosons in the diamond optical lattice. We show that the combined effects of strong intra-site repulsions, inter-site phase coherence, and anisotropy give rise to a macroscopically degenerate classic ground state in this system. The superfluid phases of the condensate wavefunction on the diamond bonds are mapped to four distinct colors. By further mapping the problem to an antiferromagnetic Potts model on the pyrochlore lattice, we show that both color and orbital angular momentum correlations exhibit power-law decay in the degenerate manifold that is described by an emergent magnetostatic theory with three independent flux fields.
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http://arxiv.org/abs/1204.6019
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