Noncommutative Graphene

Abstract

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that, being a two-dimensional Dirac system, graphene is particularly interesting to test noncommutativity. We find that momentum noncommutativity affects the energy levels of graphene, but that it does not entail any kind of correction to the Hall conductivity.

References in corpus (10)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two Dimensional Atomic Crystals
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• Unconventional Integer Quantum Hall effect in graphene
• Colloquium: The transport properties of graphene: An introduction
• Infrared spectroscopy of Landau levels in graphene
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• Entropic Gravity, Phase-Space Noncommutativity and the Equivalence Principle
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Cited by in corpus (24)

• Thermodynamical properties of graphene in noncommutative phase-space
• Energy-dependent noncommutative quantum mechanics
• Entanglement due to noncommutativity in the phase-space
• Dunkl-Graphene in constant magnetic field
• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• Phase-space noncommutative extension of the Robertson-Schroedinger formulation of Ozawa's uncertainty principle
• Bell operator and Gaussian squeezed states in noncommutative quantum mechanics
• Electron dynamics in noncommutative geometry with magnetic field and Zitterbewegung phenomenon
• Dynamical Noncommutative Graphene
• Heat flow and noncommutative quantum mechanics in phase-space
• $PT$-symmetric graphene under a magnetic field
• Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
• Noncommutative Maxwell-Chern-Simons theory (I): One-loop dispersion relation analysis
• Graphene in curved Snyder space
• Noncommutative phase-space effects in thermal diffusion of Gaussian states
• Non-Commutativity effects in the Dirac equation in crossed electric and magnetic fields
• Exciton swapping in a twisted graphene bilayer as a solid-state realization of a two-brane model
• Squeezed coherent states for gravitational well in noncommutative space
• Landau levels for graphene layers in noncommutative plane
• Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes
• Zitterbewegung in Noncommutative Geometry
• Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space