English

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

High Energy Physics - Theory 2021-07-27 v1

Abstract

We study the thermodynamic properties of massless Dirac fermions in graphene under a uniform magnetic field and Rashba spin-orbit coupling with a qq-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 η=1iln(q)\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=6KBC=6K_B three times greater compared to the case of undeformed massless Dirac fermions in graphene.

Keywords

Cite

@article{arxiv.2107.12294,
  title  = {Thermodynamic Properties of $q-$deformed massless Dirac fermions in graphene with Rashba coupling},
  author = {Rachid Houça and El Bouazzaoui Choubabi and Abdelhadi Belouad and Abdellatif Kamal and Mohammed El Bouziani},
  journal= {arXiv preprint arXiv:2107.12294},
  year   = {2021}
}