Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monte-Carlo study of the electron transport properties of monolayer
  graphene within the tight-binding model   We study the effect of Coulomb interaction between charge carriers on the
properties of graphene monolayer, assuming that the strength of the interaction
is controlled by the dielectric permittivity of the substrate on which the
graphene layer is placed. To this end we consider the tight-binding model on
the hexagonal lattice coupled to the non-compact gauge field. The action of the
latter is also discretized on the hexagonal lattice. Equilibrium ensembles of
gauge field configurations are obtained using the Hybrid Monte-Carlo algorithm.
Our numerical results indicate that at sufficiently strong coupling, that is,
at sufficiently small substrate dielectric permittivities e<4, and at
sufficiently small temperatures T<10^4 K the symmetry between simple
sublattices of hexagonal lattice breaks down spontaneously and the
low-frequency conductivity gradually decreases down to 20-30% of its
weak-coupling value. On the other hand, in the weak-coupling regime (with e>4)
the conductivity practically does not depend on e and is close to the universal
value s=1/4.

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The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: stat