An exact formula for the number of negative eigenvalues for zigzag carbon nanotubes with \(\delta\) impurities

DOI10.1007/s00020-023-02731-wOpenAlexW4362582221MaRDI QIDQ6168098

Hiroaki Niikuni

Publication date: 10 July 2023

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-023-02731-w

zbMATH Keywords

point interactionquantum graphcarbon nanotubezigzag nanotubenegative eigenvalueband-gap structure

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Eigenvalues, singular values, and eigenvectors (15A18) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Statistical mechanics of nanostructures and nanoparticles (82D80)

Cites Work

• Spectral properties of magnetic chain graphs
• 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
• Spectra of magnetic chain graphs: coupling constant perturbations
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