Numerical simulation of graphene in external magnetic field

Understand

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.