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

2012/04/30 by P. V. Buividovich, E. V. Luschevskaya, Oleg Pavlovsky +4 · 1 citation
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Thermal properties of materials #cond-mat.str-el #hep-lat

paper · pdf · doi:10.1103/physrevb.86.045107

published as Phys. Rev. B 86 (2012), 045107 · 9 pages, 6 figures, accepted for publication in Phys. Rev. B

arxiv created 2012/06/29 · openalex publication_date 2012/07/10 · arxiv updated 2013/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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