Quantum lattice transport along an infinitely extended perturbation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F25%3A00618955" target="_blank" >RIV/61389005:_____/25:00618955 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/25:50022351 RIV/68407700:21340/25:00389381
Result on the web
<a href="https://iopscience.iop.org/article/10.1088/1751-8121/adc646" target="_blank" >https://iopscience.iop.org/article/10.1088/1751-8121/adc646</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/adc646" target="_blank" >10.1088/1751-8121/adc646</a>

Result language
angličtina
Original language name
Quantum lattice transport along an infinitely extended perturbation
Original language description
We consider a periodic quantum graph in the form of a rectangular lattice with the delta-coupling of strength gamma in the vertices perturbed by changing the latter at an infinite straight array of vertices to a gamma not equal gamma. We analyze the band spectrum of the system and show that it remains preserved as a set provided gamma > gamma > 0 while for all the other combinations additional band appear in some or all gaps of the unperturbed system. We also prove that for a randomly chosen positive energy, the probability of existence of a state exponentially localized in the vicinity of the perturbation equals 1/2.
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
<a href="/en/project/GA22-18739S" target="_blank" >GA22-18739S: Asymptotic and spectral analysis of operators in mathematical physics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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