Thermodynamic Properties of Graphene in Magnetic Field and Rashba Coupling

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.