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Johannes Motruk, Andreas Mielke: Bose-Hubbard model on two-dimensional line graphs
J. Phys. A: Math. Gen45,
AbstractWe 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.
author="Johannes Motruk, Andreas Mielke",
title="Bose-Hubbard model on two-dimensional line graphs",
journal="J. Phys. A: Math. Gen",
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