Nanoribbons in external electric fields

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dc.creatorKorotyaev, Evgeny
dc.creatorKutsenko, Anton
dc.date2008-03-19
dc.date.accessioned2026-07-07T09:27:31Z
dc.date.available2026-07-07T09:27:31Z
dc.descriptionWe consider the Schrödinger operator on nanoribbons (tight-binding models) in an external electric potentials $V$. The corresponding electric field is perpendicular to the axis of the nanoribbon. If V=0, then the spectrum of the Schrödinger operator consists of two spectral bands and the flat band (i.e., the eigenvalue with infinite multiplicity) between them. If we switch on an weak electric potential $V\to 0$, then we determine the asymptotics of the spectral bands for small fields. In particular, we describe all potentials when the unperturbed eigenvalue remains the flat band and when one becomes the small band of the continuous spectrum.
dc.identifierhttps://arxiv.org/abs/0803.2806
dc.identifierhttp://arxiv.org/abs/0803.2806
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157133
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject81Q10, 47E05
dc.titleNanoribbons in external electric fields
dc.typetext

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