Quantum graph spectra of a graphyne structure

We study the dispersion relations and spectra of invariant Schrödinger operators on a graphyne structure (lithographite). In particular, description of different parts of the spectrum, band-gap structure, and Dirac points are provided.

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Bibliographic Details
Published inNanoscale systems mathematical modeling, theory and applications Vol. 2; pp. 107 - 123
Main Authors Do, Ngoc T., Kuchment, Peter
Format Journal Article
LanguageEnglish
Published Versita 06.05.2013
Subjects
35Pxx
81.05.U
81.05.ue
82D80
Dirac point
dispersion relation
Floquet-Bloch theory
graphene
graphyne
Hill operator
spectrum
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ISSN2299-3290
2299-3290
DOI10.2478/nsmmt-2013-0007

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Summary:We study the dispersion relations and spectra of invariant Schrödinger operators on a graphyne structure (lithographite). In particular, description of different parts of the spectrum, band-gap structure, and Dirac points are provided.
ISSN:2299-3290
2299-3290
DOI:10.2478/nsmmt-2013-0007