Solutions of the Bogoliubov–de Gennes equation with position dependent Fermi-velocity and gap profiles

Authors

M. Presilla, Università degli Studi di Perugia
O. Panella, Istituto Nazionale di Fisica Nucleare, Sezione di Perugia
P. Roy, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Physics Letters, Section A: General, Atomic and Solid State Physics

Abstract

It is shown that bound state solutions of the one dimensional Bogoliubov–de Gennes (BdG) equation may exist when the Fermi velocity becomes dependent on the space coordinate. The existence of bound states in continuum (BIC) like solutions has also been confirmed both in the normal phase as well as in the super-conducting phase. We also show that a combination of Fermi velocity and gap parameter step-like profiles provides scattering solutions with normal reflection and transmission.

First Page

713

Last Page

719

DOI

10.1016/j.physleta.2016.08.015

Publication Date

2-19-2017

Comments

Open Access, Green

Recommended Citation

Presilla, M.; Panella, O.; and Roy, P., "Solutions of the Bogoliubov–de Gennes equation with position dependent Fermi-velocity and gap profiles" (2017). Journal Articles. 2683.
https://digitalcommons.isical.ac.in/journal-articles/2683