Numerical simulation of graphene in external magnetic field

Abstract

In this paper the results of numerical simulation of monolayer graphene in external magnetic field are presented. The numerical simulation is performed in the effective lattice field theory with noncompact $3+1$-dimensional Abelian lattice gauge fields and $2+1$-dimensional staggered lattice fermions. The dependences of fermion condensate and graphene conductivity on the dielectric permittivity of substrate for different values of external magnetic field are calculated. It is found that magnetic field shifts insulator-semimetal phase transition to larger values of the dielectric permittivity of substrate. The phase diagram of graphene in external magnetic field is drawn.

6 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1204.0921

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Cited by in corpus (10)

• Quantum Monte Carlo Calculations for Carbon Nanotubes
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential in Dirac semimetals
• Magnetic Catalysis in Graphene Effective Field Theory
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Lattice Field Theory Study of Magnetic Catalysis in Graphene
• Applications of lattice QCD techniques for condensed matter systems
• Quantum criticality of magnetic catalysis in two-dimensional correlated Dirac fermions
• Dirac Kondo effect under magnetic catalysis
• Link auxiliary field method in the Extended Hubbard model
• Dynamical symmetry breaking, magnetization and induced charge in graphene: Interplay between magnetic and pseudomagnetic fields