Invisible defects in complex crystals
Quantum Physics
2015-06-16 v1
Abstract
We show that invisible localized defects, i.e. defects that can not be detected by an outside observer, can be realized in a crystal with an engineered imaginary potential at the defect site. The invisible defects are synthesized by means of supersymmetric (Darboux) transformations of an ordinary crystal using band-edge wave functions to construct the superpotential. The complex crystal has an entire real-valued energy spectrum and Bragg scattering is not influenced by the defects. An example of complex crystal synthesis is presented for the Mathieu potential.
Cite
@article{arxiv.1306.0667,
title = {Invisible defects in complex crystals},
author = {S. Longhi and G. Della Valle},
journal= {arXiv preprint arXiv:1306.0667},
year = {2015}
}