Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear Conductivity of a Holographic Superconductor Under Constant
  Electric Field   The dynamics of a two-dimensional superconductor under a constant electric
field $E$ is studied by using the gauge/gravity correspondence. The pair
breaking current induced by $E$ first increases to a peak value and then
decreases to a constant value at late time, where the superconducting gap goes
to zero, corresponding to a normal conducting phase. The peak value of the
current is found to increase linearly with respect to the electric field.
Moreover, the nonlinear conductivity, defined as an average of the conductivity
in the superconducting phase, scales as $\sim E^{-2/3}$ for large $E$ when the
system is close to the critical temperature, which agrees with predictions from
solving the time dependent Ginzburg-Landau equation.

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The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: nucl-th