Kagome network 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%3A50019411" target="_blank" >RIV/62690094:18470/22:50019411 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/22:00560993 RIV/68407700:21340/22:00364193
Result on the web
<a href="https://doi.org/10.1063/5.0093546" target="_blank" >https://doi.org/10.1063/5.0093546</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0093546" target="_blank" >10.1063/5.0093546</a>

Result language
angličtina
Original language name
Kagome network with vertex coupling of a preferred orientation
Original language description
We investigate spectral properties of periodic quantum graphs in the form of a kagome or a triangular lattice in the situation when the condition matching the wave functions at lattice vertices is chosen of a particular form violating the time-reversal invariance. The positive spectrum consists of an infinite number of bands, some of which may be flat; the negative one has at most three and two bands, respectively. The kagome lattice example shows that even in graphs with such an uncommon vertex coupling, spectral universality may hold: if its edges are incommensurate, the probability that a randomly chosen positive number is contained in the spectrum is asymptotic to 0.639. Published under an exclusive license by AIP Publishing.
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
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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