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- W1192937305 abstract "We consider the Schrodinger operator on nanoribbons (tight-binding models) in an external electric potential V on the plane. The corresponding electric field is perpendicular to the axis of the nanoribbon. If V = 0, then the spectrum of the Schrodinger operator consists of two non-flat bands and one flat band (an eigenvalue with infinite multiplicity) between them. If we switch on a weak electric potential V → 0, then there are two cases: (1) this eigenvalue splits into the small spectral band. We determine the asymptotics of the spectral bands for small fields. (2) the unperturbed eigenvalue remains the flat band. We describe all potentials when the unperturbed eigenvalue remains the flat band and when one splits into the small band of the continuous spectrum." @default.
- W1192937305 created "2016-06-24" @default.
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- W1192937305 date "2010-01-01" @default.
- W1192937305 modified "2023-09-27" @default.
- W1192937305 title "Zigzag nanoribbons in external electric fields" @default.
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- W1192937305 doi "https://doi.org/10.3233/asy-2009-0966" @default.
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