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arXiv · 1112.0131

Bose-Hubbard model on two-dimensional line graphs

Johannes Motruk·Andreas Mielke
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Abstract

We construct a basis for the many-particle ground states of the positive hopping Bose-Hubbard model on line graphs of finite 2-connected planar bipartite graphs at sufficiently low filling factors. The particles in these states are localized on non-intersecting vertex-disjoint cycles of the line graph which correspond to non-intersecting edge-disjoint cycles of the original graph. The construction works up to a critical filling factor at which the cycles are close-packed.

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Johannes Motruk, Andreas Mielke. 2012-04-15. Bose-Hubbard model on two-dimensional line graphs. https://doi.org/10.1088/1751-8113%2F45%2F22%2F225206

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