Confinement in bilayer graphene via intra- and inter-layer interactions

DOI10.1088/1751-8121/ac40e1zbMath1499.82055arXiv2108.07221OpenAlexW4200433594MaRDI QIDQ5049515

Kevin Zelaya, Vít Jakubský, M. Castillo-Celeita

Publication date: 11 November 2022

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

Full work available at URL: https://arxiv.org/abs/2108.07221

zbMATH Keywords

confinementinterlayergraphenebilayerenergy-dependentintralayer

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Statistical mechanics of nanostructures and nanoparticles (82D80)

Uses Software

• DLMF

Cites Work

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• An analysis of the zero energy states in graphene
• Exactly solvable energy-dependent potentials
• Dirac systems with magnetic field and position-dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators
• On the Vibrations of Polyatomic Molecules
• Electron in Bilayer Graphene with Magnetic Fields Associated with Solvable Potentials
• Construction of zero-energy states in graphene through the supersymmetry formalism
• Electron in bilayer graphene with magnetic fields leading to shape invariant potentials
• Reduction scheme for coupled Dirac systems
• Ladder operators and coherent states for the Rosen–Morse system and its rational extensions

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