 9412 Avron J.E., Exner P., Last Y.
 Periodic Schroedinger Operators with Large Gaps and
WannierStark Ladders
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Jan 19, 94

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Abstract. We describe periodic, one dimensional Schroedinger operators, with
the property that the widths of the forbidden gaps increase at large
energies and the gap to band ratio is not small. Such systems can
be realized by periodic arrays of geometric scatterers, e.g.,
a necklace of rings. Small, multichannel scatterers lead (for low
energies) to the same band spectrum as that of a periodic array of
(singular) point interactions known as delta'. We consider the
WannierStark ladder of delta', and show that the
corresponding Schroedinger operator has no absolutely continuous
spectrum.
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