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

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cond-mat.other2010★ 21 cited

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

Arthur Parzygnat, Karen K. Y. Lee, Yehuda Avniel +1

We prove, via an elementary variational method, 1d and 2d localization within the band gaps of a periodic Schrodinger operator for any mostly negative or mostly positive defect pot…