Confinement in bilayer graphene via intra- and inter-layer interactions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F22%3A00552569" target="_blank" >RIV/61389005:_____/22:00552569 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1751-8121/ac40e1" target="_blank" >https://doi.org/10.1088/1751-8121/ac40e1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/ac40e1" target="_blank" >10.1088/1751-8121/ac40e1</a>

Result language
angličtina
Original language name
Confinement in bilayer graphene via intra- and inter-layer interactions
Original language description
We consider confinement of Dirac fermions in AB-stacked bilayer graphene by inhomogeneous on-site interactions, (pseudo-)magnetic field or inter-layer interaction. Working within the framework of four-band approximation, we focus on the systems where the stationary equation is reducible into two stationary equations with 2 x 2 Dirac-type Hamiltonians and auxiliary interactions. We show that the localized states are given in terms of solutions of an effective Schrodinger equation with energy-dependent potential. We consider several scenarios where bilayer graphene is subject to inhomogeneous (pseudo-)magnetic field, on-site interactions or inter-layer coupling. In explicit examples, we provide analytical solutions for the states localized by local fluctuations or periodicity defects of the interactions.
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
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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