A noncommutative space approach to confined Dirac fermions in graphene

DOI10.1063/1.3442719zbMath1311.82056arXiv0909.1448OpenAlexW2092388302MaRDI QIDQ5251294

Ömer F. Dayi, Ahmed Jellal

Publication date: 19 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1448

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Transport processes in time-dependent statistical mechanics (82C70) Noncommutative geometry in quantum theory (81R60) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (9)

Spin and pseudo-spin symmetries of fermionic particles with an energy-dependent potential in non-commutative phase space ⋮ An alternative formulation of Hall effect and quantum phases in noncommutative space ⋮ Zitterbewegung in noncommutative geometry ⋮ Comparing exact energy solutions of quartic eigenvalue polynomials in commutative, non-commutative and non-commutative phase frameworks for boson π− ⋮ How the spin-orbit interaction appears with the same order of a non-commutative change of framework for relativistic fermions ⋮ Decoherence of quantum Brownian motion in noncommutative space ⋮ BFT embedding and gauge symmetries of graphene system in non-commutative space ⋮ Black holes thermodynamics in a new kind of noncommutative geometry ⋮ Tunneling in an anisotropic cubic Dirac semi-metal

Cites Work

• Unnamed Item
• Spin Hall effect in noncommutative coordinates
• Spin dynamics with non-Abelian Berry gauge fields as a semiclassical constrained Hamiltonian system
• Exotic Galilean symmetry in the non-commutative plane and the Hall effect
• Interactions and non-commutativity in quantum Hall systems

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