Year: 2018
Communications in Computational Physics, Vol. 23 (2018), Iss. 5 : pp. 1434–1475
Abstract
Throughout this paper, we study the spectrum of a periodic Schrödinger operator on a zigzag super carbon nanotube, which is a generalization of the zigzag carbon nanotube. We prove that its absolutely continuous spectrum has the band structure. Moreover, we show that its eigenvalues with infinite multiplicities consisting of the Dirichlet eigenvalues and points embedded in the spectral band for some corresponding Hill operator. We also give the asymptotics for the spectral band edges.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.120715.080517a
Communications in Computational Physics, Vol. 23 (2018), Iss. 5 : pp. 1434–1475
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 42
Keywords: Carbon nanotube zigzag nanotube supergraphene quantum graph spectral gap band structure Floquet–Bloch theory Hill operator.