Bound states in semi-Dirac semi-metals

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00344240" target="_blank" >RIV/68407700:21340/21:00344240 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.physleta.2020.126991" target="_blank" >https://doi.org/10.1016/j.physleta.2020.126991</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physleta.2020.126991" target="_blank" >10.1016/j.physleta.2020.126991</a>

Result language
angličtina
Original language name
Bound states in semi-Dirac semi-metals
Original language description
New insights into transport properties of nanostructures with a linear dispersion along one direction and a quadratic dispersion along another are obtained by analysing their spectral stability properties under small perturbations. Physically relevant sufficient and necessary conditions to guarantee the existence of discrete eigenvalues are derived under rather general assumptions on external fields. One of the most interesting features of the analysis is the evident spectral instability of the systems in the weakly coupled regime. The rigorous theoretical results are illustrated by numerical experiments and predictions for physical experiments are made.
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
<a href="/en/project/GX20-17749X" target="_blank" >GX20-17749X: New challenges for spectral theory: geometry, advanced materials and complex fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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