Spectrum of periodic chain graphs with time-reversal non-invariant vertex coupling

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F22%3A00559801" target="_blank" >RIV/61389005:_____/22:00559801 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/22:00364143
Result on the web
<a href="https://doi.org/10.1016/j.aop.2022.168992" target="_blank" >https://doi.org/10.1016/j.aop.2022.168992</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aop.2022.168992" target="_blank" >10.1016/j.aop.2022.168992</a>

Result language
angličtina
Original language name
Spectrum of periodic chain graphs with time-reversal non-invariant vertex coupling
Original language description
We investigate spectral properties of quantum graphs in the form of a periodic chain of rings with a connecting link between each adjacent pair, assuming that wave functions at the vertices are matched through conditions manifestly non-invariant with respect to time reversal. We discuss, in particular, the highenergy behavior of such systems and the limiting situations when one of the edges in the elementary cell of such a graph shrinks to zero. The spectrum depends on the topology and geometry of the graph. The probability that an energy belongs to the spectrum takes three different values reflecting the vertex parities and mirror symmetry, and the band patterns are influenced by commensurability of graph edge lengths.
Czech name
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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
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OECD FORD branch
10304 - Nuclear physics

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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