https://doi.org/10.1140/epjp/s13360-024-05244-6
Regular Article
Canal states in bilayer thin films of zero-range potentials
1
Institute of Physics, University of Belgrade, Pregrevica 118, 11080, Belgrade, Serbia
2
Bogoliubov Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia
Received:
4
January
2024
Accepted:
6
May
2024
Published online:
20
May
2024
Canal (discrete, 2D-localized) states embedded in continuum are studied for a particle interacting with thin 3D layer of 2D-periodic zero-range potentials. General analysis is presented for a “molecular monolayer” obtained by 2D periodic mapping of N different zero-range scatterers. Numerical calculations of canal states are performed for the case of an atomic bilayer on a square lattice. For particle scattering on this system we demonstrate the manifestations of canal states in impact-energy and impact-angles dependence of total reflection/transmission probabilities. Special cases when energy eigenvalues of the canal states tend to scattering thresholds are also analyzed.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
