The calculation of the thermal properties of graphene under a magnetic field via the two-dimensional Dirac oscillator

TL;DR

This paper models the thermal properties of graphene under a magnetic field using a two-dimensional Dirac oscillator and zeta function techniques, providing analytical expressions for key thermodynamic quantities.

Contribution

It introduces a novel application of the two-dimensional Dirac oscillator model to analyze graphene's thermal behavior under magnetic fields.

Findings

Derived expressions for free energy, mean energy, entropy, and specific heat of graphene.

Demonstrated the effectiveness of the Dirac oscillator approach in thermal property calculations.

Provided insights into the influence of magnetic fields on graphene's thermodynamics.

Abstract

In this paper, we show, by using the approach of effective mass, that the model of a two-dimensional Dirac oscillator can be used to describe the thermal properties of graphene under an uniform magnetic field. All thermal quantities of graphene, such as the free energy, the mean energy, the entropy and the specific heat, have been found by using an approach based on the zeta function.