Quantum graph spectra of a graphyne structure

• Autorzy: Ngoc T. Do , Peter Kuchment
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

graphyne; graphene; spectrum; Floquet-Bloch theory; dispersion relation; Dirac point; Hill operator

Kategorie tematyczne

• 81.05.U-: Carbon/carbon-based materials(for carbon-based superconductors, see 74.70.Wz)
• 81.05.ue: Graphene(for structure of graphene, see 61.48.Gh; for phonons in graphene, see 63.22.Rc; for thermal properties, see 65.80.Ck; for graphene films, see 68.65.Pq; for electronic transport, see 72.80.Vp; for electronic structure, see 73.22.Pr; for optical properties, see 78.67.Wj)

• 35Pxx: Spectral theory and eigenvalue problems
• 82D80: Nanostructures and nanoparticles

• Wydawca: De Gruyter Open
• Czasopismo: Nanoscale Systems: Mathematical Modeling, Theory and Applications
• Rocznik: 2013
• Tom: 2
• Strony: 107-123

Daty

otrzymano

2013-02-20

poprawiono

2013-03-29

zaakceptowano

2013-04-05

online

2013-05-06

Twórcy

autor

Ngoc T. Do

• Mathematics Department, Texas A&M University,
  College Station, TX 77843-3365

autor

Peter Kuchment

• Mathematics Department, Texas A&M University,
  College Station, TX 77843-3365

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Identyfikatory

DOI

10.2478/nsmmt-2013-0007