Thermodynamic Properties of electrically modulated monolayer Graphene

Theoretical investigation of thermodynamic properties of electrically modulated monolayer graphene in the presence of a perpendicular magnetic field B is presented.This work is aimed at determining the modulation induced effects on the thermodynamic properties of electrically modulated graphene.The results obtained are compared with those of the conventional 2DEG. The one-dimensional periodic potential due to electric modulation lifts the degeneracy of the Landau Levels and converts them into bands whose width oscillates as a function of B. We find Weiss type oscillations for small values of B and dHvA type oscillations at larger values values of $B$. We find that the modulation induced effects on the thermodynamic properties are enhanced and less damped with temperature in graphene compared with conventional 2DEG system.