Transparency at the interface between two isospectral crystals
Dipartimento di Fisica, Politecnico di Milano - Piazza L. da Vinci 32, I-20133 Milano, Italy, EU and Istituto di Fotonica e Nanotecnlogie del Consiglio Nazionale delle Ricerche, sezione di Milano Piazza L. da Vinci 32, I-20133 Milano, Italy, EU
Received: 5 April 2013
Accepted: 16 May 2013
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.
PACS: 03.65.-w – Quantum mechanics / 73.20.At – Surface states, band structure, electron density of states / 73.40.-c – Electronic transport in interface structures
© EPLA, 2013