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.

arXiv comment11 pages, 4 figures

References in corpus (24)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Gauge fields in graphene
• Electric Field Modulation of Galvanomagnetic Properties of Mesoscopic Graphite
• Quantum symmetry, the cosmological constant and Planck scale phenomenology
• Single-photon nonlinear optics with graphene plasmons
• Extended uncertainty principle and the geometry of (anti)-de Sitter space
• Classical and quantum mechanics of the nonrelativistic Snyder model
• Triply Special Relativity
• Scalar Field Theory on Non-commutative Snyder Space-Time
• Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry
• Thermodynamical properties of graphene in noncommutative phase-space
• Snyder space revisited
• Noncommutative Graphene
• Doubly special relativity in de Sitter spacetime
• Coupling of two Dirac particles
• Classical dynamics on curved Snyder space
• Snyder's Quantized Space-time and De Sitter Special Relativity
• Worldline Formalism in Snyder Spaces
• Asymptotic freedom for $\lambda {\varphi }_{\star }^4$ QFT in Snyder-de Sitter space
• Nonassociative Snyder phi4 Quantum Field Theory
• Thermodynamic Properties of Graphene in Magnetic Field and Rashba Coupling
• A quantum emitter coated with graphene interacting in the strong coupling regime
• Snyder-de Sitter meets the Grosse-Wulkenhaar model

Cited by in corpus (4)

• Dunkl-Graphene in constant magnetic field
• Effect of Snyder-de Sitter model on the Black hole thermodynamics in the context of rainbow gravity
• 2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space
• Algebraic solution and thermodynamic properties of graphene in the presence of minimal length