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 simila...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
American Physical Society
2010
|
| Online Access: | http://hdl.handle.net/1721.1/54686 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0001-5994-0396 |