Pavel Exner, Hynek Kovarik
Magnetic strip waveguides
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ABSTRACT. 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.