Magnetic ring chains with vertex coupling of a preferred orientation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F22%3A50019353" target="_blank" >RIV/62690094:18470/22:50019353 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/22:00560550 RIV/68407700:21340/22:00364202
Result on the web
<a href="https://doi.org/10.1088/1751-8121/ac820b" target="_blank" >https://doi.org/10.1088/1751-8121/ac820b</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/ac820b" target="_blank" >10.1088/1751-8121/ac820b</a>

Result language
angličtina
Original language name
Magnetic ring chains with vertex coupling of a preferred orientation
Original language description
We discuss spectral properties of a periodic quantum graph consisting of an array of rings coupled either tightly or loosely through connecting links, assuming that the vertex coupling is manifestly non-invariant with respect to the time reversal and a homogeneous magnetic field perpendicular to the graph plane is present. It is shown that the vertex parity determines the spectral behavior at high energies and the Band-Berkolaiko universality holds whenever the edges are incommensurate. The magnetic field influences the probability that an energy belongs to the spectrum in the tight-chain case, and also it can turn some spectral bands into infinitely degenerate eigenvalues.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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