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Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 5, Pages 637–643
DOI: https://doi.org/10.17586/2220-8054-2015-6-5-637-643 (Mi nano976) 		 
Periodic chain of disks in a magnetic field: bulk states and edge states

E. N. Grishanova, D. A. Eremina, D. A. Ivanova, I. Yu. Popovb, P. I. Smirnovb

a Department of Mathematics and IT, Ogarev Mordovia State University, Bolshevistskaya Str. 68, Saransk, Russia
b Department of Higher Mathematics, ITMO University, Kroverkskiy pr. 49, St. Petersburg, 197101, Russia
Full-text PDF (437 kB)
DOI: https://doi.org/10.17586/2220-8054-2015-6-5-637-643
Abstract: An explicitly solvable model for periodic chain of coupled disks in orthogonal magnetic field is considered. The spectrum for the Hamiltonian is compared with the spectrum for the corresponding chain of circles. These models are used for the comparison of the bulk and edge states. It is found that for some range of the magnetic field values the lowest band for the circles system lies below the spectrum for the corresponding disks system, i.e. the edge band is below and is separated from the lowest bulk band.
Keywords: nanostructure, magnetic field, explicitly solvable model.
Funding agency
This work was partially financially supported by the Government of the Russian Federation (grant 074-U01), by the Ministry of Science and Education of the Russian Federation (GOSZADANIE 2014/190, Project 14.Z50.31.0031), by grants of the President of Russia (state contracts 14.124.13.2045-MK and 14.124.13.1493-MK).
Received: 01.09.2015
Bibliographic databases:
Document Type: Article
PACS: 73.23.Ad, 02.30.Tb
Language: English
Citation: E. N. Grishanov, D. A. Eremin, D. A. Ivanov, I. Yu. Popov, P. I. Smirnov, “Periodic chain of disks in a magnetic field: bulk states and edge states”, Nanosystems: Physics, Chemistry, Mathematics, 6:5 (2015), 637–643
Citation in format AMSBIB
\Bibitem{GriEreIva15}
\by E.~N.~Grishanov, D.~A.~Eremin, D.~A.~Ivanov, I.~Yu.~Popov, P.~I.~Smirnov
\paper Periodic chain of disks in a magnetic field: bulk states and edge states
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2015
\vol 6
\issue 5
\pages 637--643
\mathnet{http://mi.mathnet.ru/nano976}
\crossref{https://doi.org/10.17586/2220-8054-2015-6-5-637-643}
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\elib{https://elibrary.ru/item.asp?id=24363522}
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