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.
@article{bwmeta1.element.doi-10_2478_nsmmt-2013-0007,
author = {Ngoc T. Do and Peter Kuchment},
title = {Quantum graph spectra of a graphyne structure},
journal = {Nanoscale Systems: Mathematical Modeling, Theory and Applications},
volume = {2},
year = {2013},
pages = {107-123},
zbl = {1273.81067},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_nsmmt-2013-0007}
}
Ngoc T. Do; Peter Kuchment. Quantum graph spectra of a graphyne structure. Nanoscale Systems: Mathematical Modeling, Theory and Applications, Tome 2 (2013) pp. 107-123. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_nsmmt-2013-0007/
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