Quantum graph spectra of a graphyne structure

2013/02/21 by T. Ngoc, Ngoc T. Do, Do, Ngoc T. +2
Materials Science · Mathematics · Physics and Astronomy · #35Pxx #82D80 #FOS: Physical sciences #Graphene research and applications #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena #math-ph #math.MP #msc:35Pxx #msc:82D80

paper · pdf · doi:10.48550/arxiv.1302.5176

PDFLaTex, 23 pages, 10 figures

openalex publication_date 2013/02/21 · arxiv created 2013/03/29 · arxiv updated 2013/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Nobel Lecture: Random walk to graphene

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