2022/04/10 by Ilyas Haouam, S. A. Alavi · 1 citation
Materials Science · Physics and Astronomy · #Graphene research and applications #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect
paper · doi:10.1142/s0217751x22500543
openalex publication_date 2022/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study graphene in a two-dimensional dynamical noncommutative (NC) space in the presence of a constant magnetic field. The model is solved using perturbation theory and to the second-order of perturbation. The energy levels of the system are calculated and the corresponding eigenstates are obtained. For all cases, the energy shift depends on the dynamical NC (DNC) parameter [Formula: see text]. Using the accuracy of energy measurement, we put an upper bound on the noncommutativity parameter [Formula: see text]. In addition, we investigate some of the thermodynamic quantities of the system at zero temperature limit and extreme relativistic case, which reveals interesting differences between nondynamical and DNC spaces.