Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superconductivity above a quantum critical point in a metal -- gap
  closing vs gap filling, Fermi arcs, and pseudogap behavior   We consider a quantum-critical metal with interaction mediated by
fluctuations of a critical order parameter. This interaction gives rise to two
competing tendencies -- pairing and non-Fermi liquid behavior. Due to
competition, the pairing develops below a finite $T_p $, however its prominent
feedback on the fermionic self-energy develops only at a lower $ T_{cross}$. At
$T<T_{cross}$ the system behavior is similar to that of a BCS supercoductor --
the density of states (DOS) and the spectral function (SF) have sharp gaps
which close as $T$ increases. At higher $T_{cross}<T<T_{p}$ the DOS has a dip,
which {\it fills in} with increasing $T$. The SF in this region shows either
the same behavior as the DOS, or has a peak at $\omega =0$ (the Fermi arc),
depending on the position on the Fermi surface. We argue that phase
fluctuations are strong in this $T$ range, and the actual $T_c \sim T_{cross}$,
while $T_p$ marks the onset of pseugogap behavior. We compare our theory with
the behavior of optimally doped cuprates.

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The categories of this paper are: math
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The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th