Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase transition and intrinsic metric of the dipolar fermions in quantum
  Hall regime   For the fast rotating quasi-two-dimensional dipolar fermions in the quantum
Hall regime, the interaction between two dipoles breaks the rotational symmetry
when the dipole moment has component in the the plane via being tuned by an
external field. For the anisotropic two-body interaction, we expand it in a
generalized pseudopotentials (PPs). With assuming that all the dipoles are
polarized in the same direction, we perform the numerical diagonalization for
finite size systems on a torus. We find that the most stable fractional quantum
Hall (FQH) states in the lowest Landau level (LLL) and the first Landau level
(1LL) are {\nu} = 1/3 and {\nu} = 2 + 1/5 Laughlin state respectively in the
isotropic case. While rotating the dipolar angle, these FQH states reveal a
robustness and finally enter into a molecule phase in which all the particles
are attracted and form a bound state. The anisotropy and the phase transition
are studied by the intrinsic metric, the wave function overlap and the nematic
order parameter.

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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: math
31
The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: hep-ex