Thermodynamic Properties of electrically modulated monolayer Graphene

TL;DR

This paper theoretically explores how electric modulation affects the thermodynamic properties of monolayer graphene under a magnetic field, revealing oscillations and temperature effects distinct from conventional 2DEG systems.

Contribution

It provides a detailed theoretical analysis of the modulation-induced effects on thermodynamic properties of graphene, highlighting differences from traditional 2DEG systems.

Findings

Modulation lifts Landau level degeneracy in graphene.

Oscillations in thermodynamic properties depend on magnetic field strength.

Temperature effects are less damping in graphene compared to 2DEG.

Abstract

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.