Numerical study of the conductivity of graphene monolayer within the effective field theory approach

Details Numerical study of the conductivity of graphene monolayer within the effective field theory approach Numerical study of the conductivity of graphene monolayer within the effective field theory approach

2012-04-04

arxiv.org/abs/1204.0921v1

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 5 figures

Scientific paper

We report on the direct numerical measurements of the conductivity of graphene monolayer. Our numerical simulations are performed in the effective lattice field theory with noncompact 3+1-dimensional Abelian lattice gauge fields and 2+1-dimensional staggered lattice fermions. The conductivity is obtained from the Green-Kubo relations using the Maximum Entropy Method. We find that in a phase with spontaneously broken sublattice symmetry the conductivity rapidly decreases. For the largest value of the coupling constant used in our simulations, which corresponds to graphene on the substrate with dielectric permittivity e=1.75, the DC conductivity is less than the DC conductivity in the semimetal phase at e>4 by at least three orders of magnitude.

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