Thermodynamic Properties of $q-$deformed massless Dirac fermions in graphene with Rashba coupling

TL;DR

This paper investigates how q-deformation affects the thermodynamic properties of massless Dirac fermions in graphene with Rashba coupling, revealing significant changes in heat capacity.

Contribution

It introduces a q-deformed algebra approach to analyze thermodynamics of Dirac fermions in graphene with Rashba coupling, providing new insights into deformation effects.

Findings

Heat capacity reaches three times the undeformed value at certain conditions.

Thermodynamic functions are computed using zeta function and Euler-Maclaurin formula.

Deformation parameter significantly influences thermodynamic behavior.

Abstract

We study the thermodynamic properties of massless Dirac fermions in graphene under a uniform magnetic field and Rashba spin-orbit coupling with a $q-$deformed Heisenberg algebra calculus. The thermodynamic functions such as the Helmholtz free energy, total energy, entropy and heat capacity are obtained by using an approach based on the zeta function and Euler-Maclaurain formula. These functions will be numerically examined for different values of $\eta={1\over i}\ln(q)$. In particular, the heat capacity in the presence of deformation, all curves coincide and reach the fixed value $C=6K_B$ three times greater compared to the case of undeformed massless Dirac fermions in graphene.