Bose-Hubbard model on two-dimensional line graphs
Statistical Mechanics
2012-05-30 v3
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.
Cite
@article{arxiv.1112.0131,
title = {Bose-Hubbard model on two-dimensional line graphs},
author = {Johannes Motruk and Andreas Mielke},
journal= {arXiv preprint arXiv:1112.0131},
year = {2012}
}
Comments
9 pages, 5 figures, figures and conclusions updated