Cairo lattice with time-reversal non-invariant vertex couplings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F24%3A50021575" target="_blank" >RIV/62690094:18470/24:50021575 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/24:00587270 RIV/68407700:21340/24:00381595
Result on the web
<a href="https://iopscience.iop.org/article/10.1088/1751-8121/ad52d6" target="_blank" >https://iopscience.iop.org/article/10.1088/1751-8121/ad52d6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/ad52d6" target="_blank" >10.1088/1751-8121/ad52d6</a>

Result language
angličtina
Original language name
Cairo lattice with time-reversal non-invariant vertex couplings
Original language description
We analyze the spectrum of a periodic quantum graph of the Cairo lattice form. The used vertex coupling violates the time reversal invariance and its high-energy behavior depends on the vertex degree parity; in the considered example both odd and even parities are involved. The presence of the former implies that the spectrum is dominated by gaps. In addition, we discuss two modifications of the model in which this is not the case, the zero limit of the length parameter in the coupling, and the sign switch of the coupling matrix at the vertices of degree three; while different they both yield the same probability that a randomly chosen positive energy lies in the spectrum.
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
—
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
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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