Graphene in curved Snyder space

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.

11 pages, 4 figures

References in corpus (3)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Snyder's Quantized Space-time and De Sitter Special Relativity

Cited by in corpus (1)

• Effect of Snyder-de Sitter model on the Black hole thermodynamics in the context of rainbow gravity