Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mott phases and quantum phase transitions of extended Bose-Hubbard
  models in 2+1 dimensions   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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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th