Magnetic strip waveguides

Physics – Condensed Matter

Scientific paper

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22 pages, a LaTeX source file with three eps figures

Scientific paper

10.1088/0305-4470/33/16/317

We analyze the spectrum of the "local" Iwatsuka model, i.e. a two-dimensional charged particle interacting with a magnetic field which is homogeneous outside a finite strip and translationally invariant along it. We derive two new sufficient conditions for absolute continuity of the spectrum. We also show that in most cases the number of open spectral gaps of the model is finite. To illustrate these results we investigate numerically the situation when the field is zero in the strip being screened, e.g. by a superconducting mask.

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