Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional
  Optical Lattices   In this work we study ultracold Fermions confined in a two-dimensional
optical lattice and we explore the Mott-insulator transition with the
Fermi-Hubbard model. On the basis of a mean-field approach, we study the phase
diagrams in the presence of a harmonic trapping potential. Local Mott-insulator
phases are shown to be generally situated in the center of the trap and
correspond to a vanishing variance of the local density. We then study the
effects induced by rotation on the Mott-insulator phase transition. In
particular, we show that the phase boundary reproduces the edge of the
Hofstadter butterfly.

14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int