Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Al'tshuler-Aronov correction to the conductivity of a large metallic
  square network   We consider the correction $\Delta\sigma_\mathrm{ee}$ due to
electron-electron interaction to the conductivity of a weakly disordered metal
(Al'tshuler-Aronov correction). The correction is related to the spectral
determinant of the Laplace operator. The case of a large square metallic
network is considered. The variation of $\Delta\sigma_\mathrm{ee}(L_T)$ as a
function of the thermal length $L_T$ is found very similar to the variation of
the weak localization $\Delta\sigma_\mathrm{WL}(L_\phi)$ as a function of the
phase coherence length. Our result for $\Delta\sigma_\mathrm{ee}$ interpolates
between the known 1d and 2d results, but the interaction parameter entering the
expression of $\Delta\sigma_\mathrm{ee}$ keeps a 1d behaviour. Quite
surprisingly, the result is very close to the 2d logarithmic behaviour already
for $L_T\sim{a}/2$, where $a$ is the lattice parameter.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin