najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2022-13-1-12-16najo-209Research ArticleСтатьиA model of sheared nanoribbonsBrietPh.briet@univ-tln.frUniversite´ de ToulonRussian Federation2022060620251311216Copyright © Briet P., 20252025Briet P.Briet P.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/209

In this note, we investigate the spectral properties of the Dirichlet Laplacian defined on an infinite band subject to a “shearing”. We give conditions for which the shear does not produce discret eigenvalue. In a second part we discuss the existence of discrete spectrum.

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The authors declare that there are no conflicts of interest present.