Sufficient conditions for two-dimensional localization by arbitrarily weak defects in periodic potentials with band gaps

Sufficient conditions for two-dimensional localization by arbitrarily weak defects in periodic potentials with band gaps

We prove, via an elementary variational method, one-dimensional (1D) and two-dimensional (2D) localization within the band gaps of a periodic Schrödinger operator for any mostly negative or mostly positive defect potential, V, whose depth is not too great compared to the size of the gap. In a simil...

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Bibliographic Details
Main Authors: Johnson, Steven G. (Contributor), Avniel, Yehuda B. (Contributor), Lee, Karen Ka Yan (Contributor), Parzygnat, Arthur J. (Author)
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science (Contributor), Massachusetts Institute of Technology. Department of Mathematics (Contributor), Massachusetts Institute of Technology. Research Laboratory of Electronics (Contributor), Parzygnat, Arthur (Contributor)
Format: Article
Language:English
Published: American Physical Society, 2010-04-29T16:50:56Z.
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