Construction of zero-energy states in graphene through the supersymmetry formalism

DOI10.1088/1751-8121/aa8249zbMath1383.82081arXiv1707.01724OpenAlexW2729682937MaRDI QIDQ5369080

Axel Schulze-Halberg, Pinaki Roy

Publication date: 12 October 2017

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

Full work available at URL: https://arxiv.org/abs/1707.01724

zbMATH Keywords

Dirac equationsgraphenenanostructures and nanoparticlestime-dependent Schrödinger equationssupersymmetry and quantum mechanicsselfadjoint operator theory in quantum theory, including spectral analysiszero-energy state

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Supersymmetry and quantum mechanics (81Q60) Time-dependent Schrödinger equations and Dirac equations (35Q41) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (7)

Dirac systems with magnetic field and position-dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators ⋮ Confinement in bilayer graphene via intra- and inter-layer interactions ⋮ Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential ⋮ Two-dimensional Dirac fermion in presence of an asymmetric vector potential ⋮ Trends in Supersymmetric Quantum Mechanics ⋮ Higher-order Darboux transformations for the massless Dirac equation at zero energy ⋮ Modular operators and entanglement in supersymmetric quantum mechanics

Cites Work

• Qualitative analysis of trapped Dirac fermions in graphene
• An analysis of the zero energy states in graphene
• Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics
• The electronic spectrum of fullerenes from the Dirac equation
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