Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective charging energy for a regular granular metal array   We study the Ambegaokar-Eckern-Sch\"{o}n (AES) model for a regular array of
metallic grains coupled by tunnel junctions of conductance $g$ and calculate
both paramagnetic and diamagnetic terms in the Kubo formula for the
conductivity. We find analytically, and confirm by numerical path integral
Monte Carlo methods, that for $0<g<4$ the conductivity obeys an Arrhenius law
$\sigma(T)\sim\exp[-E^{*}(g)/T]$ with an effective charging energy $E^{*} (g)$
when the temperature is sufficiently low, due to a subtle cancellation between
$T^2$ inelastic-cotunneling contributions in the paramagnetic and diamagnetic
terms. We present numerical results for the effective charging energy and
compare the results with recent theoretical analyses. We discuss the different
ways in which the experimentally observed $\sigma(T)\sim\exp[-\sqrt{T_{0}/T}]$
law could be attributed to disorder.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: math
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: nucl-th