Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superfluidity and pairing phenomena in ultracold atomic Fermi gases in
  one-dimensional optical lattices, Part I: Balanced case   The superfluidity and pairing phenomena in ultracold atomic Fermi gases have
been of great interest in recent years, with multiple tunable parameters. Here
we study the BCS-BEC crossover behavior of balanced two-component Fermi gases
in a one-dimensional optical lattice, which is distinct from the simple
three-dimensional (3D) continuum and a fully 3D lattice often found in a
condensed matter system. We use a pairing fluctuation theory which includes
self-consistent feedback effects at finite temperatures, and find widespread
pseudogap phenomena beyond the BCS regime. As a consequence of the lattice
periodicity, the superfluid transition temperature $T_c$ decreases with pairing
strength in the BEC regime, where it approaches asymptotically $T_c = \pi
an/2m$, with $a$ being the $s$-wave scattering length, and $n$ ($m$) the
fermion density (mass). In addition, the quasi-two dimensionality leads to fast
growing (absolute value of the) fermionic chemical potential $\mu$ and pairing
gap $\Delta$, which depends exponentially on the ratio $d/a$. Importantly,
$T_c$ at unitarity increases with the lattice constant $d$ and hopping integral
$t$. The effect of the van Hove singularity on $T_c$ is identified. The
superfluid density exhibits $T^{3/2}$ power laws at low $T$, away from the
extreme BCS limit. These predictions can be tested in future experiments.

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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
18
The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph