Freitas, Pedro; Siegl, Petr (2014). Spectra of graphene nanoribbons with armchair and zigzag boundary conditions. Reviews in mathematical physics, 26(10), 1450018, 32. World Scientific 10.1142/S0129055X14500184
Full text not available from this repository.We study the spectral properties of the two-dimensional Dirac operator on bounded domains together with the appropriate boundary conditions which provide a (continuous) model for graphene nanoribbons. These are of two types, namely, the so-called armchair and zigzag boundary conditions, depending on the line along which the material was cut. In the former case, we show that the spectrum behaves in what might be called a classical way; while in the latter, we prove the existence of a sequence of finite multiplicity eigenvalues converging to zero and which correspond to edge states.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Siegl, Petr |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0129-055X |
Publisher: |
World Scientific |
Language: |
English |
Submitter: |
Mario Amrein |
Date Deposited: |
14 Apr 2015 15:43 |
Last Modified: |
05 Dec 2022 14:45 |
Publisher DOI: |
10.1142/S0129055X14500184 |
URI: |
https://boris.unibe.ch/id/eprint/66710 |
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