Physics – Condensed Matter
Scientific paper
1999-10-20
J. Phys. A33 (2000), 3297-3311
Physics
Condensed Matter
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.
Exner Pavel
Kovarik Hynek
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