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arXiv · 1204.0921

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

P. V. Buividovich·E. V. Luschevskaya·O. V. Pavlovsky·M. I. Polikarpov·M. V. Ulybyshev
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Abstract

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 g = 4.5, the DC conductivity is less than the DC conductivity in the weak-coupling phase (at g < 3.5) by at least three orders of magnitude.

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P. V. Buividovich, E. V. Luschevskaya, O. V. Pavlovsky, M. I. Polikarpov, M. V. Ulybyshev. 2012-04-04. Numerical study of the conductivity of graphene monolayer within the effective field theory approach. https://doi.org/10.1103/physrevb.86.045107

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