Edge states of Schrödinger equations on graphene with zigzag boundaries

DOI10.1007/S00025-021-01361-1zbMath1473.81074OpenAlexW3137128269MaRDI QIDQ2038596

Hiroaki Niikuni

Publication date: 7 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01361-1

zbMATH Keywords

band structuregrapheneembedded eigenvaluesquantum graphedge statebulk Hamiltonianedge Hamiltonian

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Boundary eigenvalue problems for ordinary differential equations (34B09) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (1)

Spectra of graphenes with variant edges

Cites Work

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• Bulk-edge correspondence for two-dimensional topological insulators
• On the spectra of carbon nano-structures
• Existence of eigenvalues embedded in the spectral bands of Schrödinger operators on carbon nanotubes with impurities
• Schrödinger operators on zigzag nanotubes
• Decisiveness of the spectral gaps of periodic Schrödinger operators on the dumbbell-like metric graph
• Kirchhoff's rule for quantum wires
• Spectral band localization for Schrödinger operators on discrete periodic graphs

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