Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holographic conductivity of holographic superconductors with higher
  order corrections   We analytically as well as numerically disclose the effects of the higher
order correction terms in the gravity and in the gauge field on the properties
of $s$-wave holographic superconductors. On the gravity side, we consider the
higher curvature Gauss-Bonnet corrections and on the gauge field side, we add a
quadratic correction term to the Maxwell Lagrangian. We show that for this
system, one can still obtain an analytical relation between the critical
temperature and the charge density. We also calculate the critical exponent and
the condensation value both analytically and numerically. We use a variational
method, based on the Sturm-Liouville eigenvalue problem for our analytical
study, as well as a numerical shooting method in order to compare with our
analytical results. For a fixed value of the Gauss-Bonnet parameter, we observe
that the critical temperature decreases with increasing the nonlinearity of the
gauge field. This implies that the nonlinear correction term to the Maxwell
electrodynamics make the condensation harder. We also study the holographic
conductivity of the system and disclose the effects of Gauss-Bonnet and
nonlinear parameters $\alpha$ and $b$ on the superconducting gap. We observe
that for various values of $\alpha $ and $b$, the real part of conductivity is
proportional to the frequency per temperature, $\omega /T$, as frequency is
enough large. Besides, the conductivity has a minimum in the imaginary part
which is shifted toward greater frequency with decreasing the temperature.

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The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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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