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NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2022, 13 (1), P. 12–16

A model of sheared nanoribbons

Ph. Briet – Aix Marseille Université, Université de Toulon, CNRS, CPT, Marseille France; briet@univ-tln.fr

DOI 10.17586/2220-8054-2022-13-1-12-16
PACS 35R45, 85Q10

ABSTRACT 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.

KEYWORDS Quantum waveguide, sheared band, Hardy inequality

FOR CITATION Briet Ph. A model of sheared nanoribbons. Nanosystems: Phys. Chem. Math., 2022, 13 (1), 12–16.

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