# Thermodynamic Properties of Graphene in Magnetic Field and Rashba Coupling

## TL;DR

This paper investigates the thermodynamic properties of graphene with massless Dirac fermions under magnetic field and Rashba coupling, revealing how these factors influence thermodynamic functions and confirming the Dulong-Petit law at high temperatures.

## Contribution

It provides a novel analysis of thermodynamic functions of graphene considering both magnetic field and Rashba coupling using zeta function methods.

## Key findings

- Thermodynamic functions are derived in the high temperature regime.
- The Dulong-Petit law is verified for different Rashba coupling strengths.
- Numerical examination shows the influence of Rashba coupling on thermodynamic properties.

## Abstract

We study the thermodynamic properties of massless Dirac fermions in graphene subjected to a uniform magnetic field $B$ together with Rashba coupling parameter $\lambda_R$. The thermodynamic functions such as the Helmholtz free energy, total energy, entropy and heat capacity are obtained in the high temperature regime using an approach based on the zeta function. These functions will be numerically examined by considering two cases related to $\lambda_R$ smaller or greater than $B$. In particular, we show that the Dulong-Petit law is verified for both cases.