Bose-Hubbard model on two-dimensional line graphs
Autor: | Motruk, Johannes, Mielke, Andreas |
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Rok vydání: | 2011 |
Předmět: | |
Zdroj: | J. Phys. A: Math. Theor. 45 (2012) 225206 |
Druh dokumentu: | Working Paper |
DOI: | 10.1088/1751-8113/45/22/225206 |
Popis: | 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. Comment: 9 pages, 5 figures, figures and conclusions updated |
Databáze: | arXiv |
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