Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard
  Lattice   We study hard-core bosons on the checkerboard lattice with nearest neighbour
unfrustrated hopping $t$ and `tetrahedral' plaquette charging energy $U$.
Analytical arguments and Quantum Monte Carlo simulations lead us to the
conclusion that the system undergoes a zero temperature ($T$) quantum phase
transition from a superfluid phase at small $U/t$ to a large $U/t$ Mott
insulator phase with $\rho$ = 1/4 for a range of values of the chemical
potential $\mu$. Further, the quarter-filled insulator breaks lattice
translation symmetry in a characteristic four-fold ordering pattern, and
occupies a lobe of finite extent in the $\mu$-$U/t$ phase diagram. A Quantum
Monte-Carlo study slightly away from the tip of the lobe provides evidence for
a direct weakly first-order superfluid-insulator transition away from the tip
of the lobe. While analytical arguments leads us to conclude that the
transition {\em at} the tip of the lobe belongs to a different landau-forbidden
second-order universality class, an extrapolation of our numerical results
suggests that the size of the first-order jump does not go to zero even at the
tip of the lobe.

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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph