Mott phases and quantum phase transitions of extended Bose-Hubbard models in 2+1 dimensions

Details Mott phases and quantum phase transitions of extended Bose-Hubbard models in 2+1 dimensions Mott phases and quantum phase transitions of extended Bose-Hubbard models in 2+1 dimensions

2007-03-20

arxiv.org/abs/cond-mat/0703506v2

Physics

Condensed Matter

Strongly Correlated Electrons

Mini review; conference proceeeding for STATPHYS - KOLKATA V; to be published in Physica A. v2: additional refs. added

Scientific paper

10.1016/j.physa.2007.04.123

We review the recent theoretical developments towards understanding the Mott phases and quantum phase transition of extended Bose-Hubbard models on lattices in two spatial dimensions . We focuss on the description of these systems using the dual vortex picture and point out the crucial role played by the geometry of underlying lattices in determining the nature of both the Mott phases and the quantum phase transitions. We also briefly compare the results of dual vortex theory with quantum Monte Carlo results.

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