Thermodynamic Properties and Superstatistics of Graphene under a Constant Magnetic Field

TL;DR

This paper investigates the thermodynamic behavior of graphene under a magnetic field by solving the Dirac-Weyl equation, analyzing thermodynamic quantities through canonical and superstatistical frameworks, and confirming relativistic electron transport.

Contribution

It provides a novel analysis of graphene's thermodynamics using superstatistics, extending prior work with new theoretical insights.

Findings

Relativistic nature of electron transport confirmed

Fluctuations introduce additional disorder

Results align with existing literature

Abstract

In this paper, we present the solutions of the Dirac-Weyl equation for graphene under a constant magnetic field. The resulting spectrum is used to determine the partition function, a key quantity in the study of thermodynamic properties. From this function, we analyze the mean energy, specific heat, entropy, and free energy in two different frameworks: the canonical ensemble and the superstatistical approach. The study confirms the relativistic nature of electron transport in graphene under a magnetic field. It also reveals that fluctuations introduce additional disorder in the system. The obtained results are in good agreement with those already reported in the literature.