Graphene in curved Snyder space

TL;DR

This paper explores how a noncommutative Snyder-de Sitter spacetime influences the thermodynamic properties of massless Dirac fermions in graphene under a magnetic field, revealing significant effects of fundamental scales.

Contribution

It introduces a novel analysis of graphene in curved Snyder spacetime, deriving energy spectra and thermodynamic properties considering noncommutative geometry effects.

Findings

Significant impact of Snyder-de Sitter scales on graphene's thermodynamics

Derived energy eigenvalues and eigenfunctions in curved Snyder spacetime

Observed notable modifications in heat capacity and entropy due to noncommutative effects

Abstract

The Snyder-de Sitter (SdS) model which is invariant under the action of the de Sitter group, is an example of a noncommutative spacetime with three fundamental scales. In this paper, we considered the massless Dirac fermions in graphene layer in a curved Snyder spacetime which are subjected to an external magnetic field. We employed representation in the momentum space to derive the energy eigenvalues and the eigenfunctions of the system. Then, we used the deduced energy function obtaining the internal energy, heat capacity, and entropy functions. We investigated the role of the fundamental scales on these thermal quantities of the graphene layer. We found that the effect of the SdS model on the thermodynamic properties is significant.