Landau levels for graphene layers in noncommutative plane

2021/05/10 by Lucas Sourrouille · 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/s0217751x21500871

openalex created_date 2020/08/18 · openalex publication_date 2021/05/10 · openalex updated_date 2026/07/28

Abstract

Starting from the zero modes of the single and bilayer graphene Hamiltonians we develop a mechanism to construct the eigenstates and eigenenergies for Landau levels in noncommutative plane. General formulas for the spectrum of energies are deduced, for both cases, single and bilayer graphene. In both cases we find that the effect to introduce noncommutative coordinates is a shift in the energy spectrum with respect to result obtained in commutative space.

Citations

• Electronic properties of graphene in a strong magnetic field
• The Diamagnetism of the Free Electron
• The electronic properties of graphene
• Quantum mechanics as a statistical theory
• NONCOMMUTATIVE GRAPHENE

Cited by

• Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space

Related

• Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
• Graphene on noncommutative plane and the Seiberg-Witten map
• Noncommutative Landau problem and shifted energy levels
• Landau problem for bilayer graphene: Exact results
• NONCOMMUTATIVE GRAPHENE