Dunkl-Graphene in constant magnetic field

TL;DR

This paper explores how Dunkl derivatives affect the thermal properties of graphene in a magnetic field, revealing parity-related modifications at low temperatures, thus offering new insights into graphene's quantum behavior.

Contribution

It introduces a novel approach using Dunkl formalism to analyze graphene's thermal properties under magnetic fields, highlighting parity effects at low temperatures.

Findings

Dunkl-parameters modify thermal quantities at low temperatures.

Parity influences graphene's behavior in magnetic fields.

Conventional results are recovered at high temperatures.

Abstract

Graphene-based materials are thought to revolutionize entire industries. Therefore, many research are being carried on graphene theoretically and experimentally. On the other hand, recent studies show that the use of Dunkl derivative, instead of ordinary derivative, allows the concept of parity to be interpreted together with other physical quantities. In this manuscript, we investigate the thermal quantities of graphene under the constant magnetic field with the Dunkl-formalism. We observe that only at low temperatures Dunkl-parameters, thus parity, modify the conventional results.