English

Transparency at the interface between two isospectral crystals

Quantum Physics 2015-06-16 v1 Mesoscale and Nanoscale Physics

Abstract

Reflection at an interface separating two different media is a rather universal phenomenon which arises because of wave mismatching at the interface. By means of supersymmetric quantum mechanics methods, it is shown that a fully transparent interface can be realized, connecting two isospectral but different one-dimensional crystals. An example of reflectionless interface is presented for the sinusoidal (Mathieu) crystal connected to a non-sinusoidal potential by a transparent domain wall.

Keywords

Cite

@article{arxiv.1306.0677,
  title  = {Transparency at the interface between two isospectral crystals},
  author = {S. Longhi and G. Della Valle},
  journal= {arXiv preprint arXiv:1306.0677},
  year   = {2015}
}

Comments

4 figures, to appear in EPL

R2 v1 2026-06-22T00:27:34.421Z