Eur. Phys. J. Plus (2017) 132: 32
https://doi.org/10.1140/epjp/i2017-11323-2

Regular Article

Bound states in graphene via Fermi velocity modulation

¹ Department of Mathematics, Binapani Balika Vidyalaya (HS) North 24, 700063, Parganas, India
² Physics & Applied Mathematics Unit, Indian Statistical Institute, 700 108, Kolkata, India

^* e-mail: pinaki@isical.ac.in

Received: 27 October 2016
Accepted: 28 December 2016
Published online: 23 January 2017

Abstract

We obtain zero energy solutions of a (2+1)-dimensional massless Dirac-like equation with a position-dependent Fermi velocity in the presence of an electrostatic potential. Several velocity profiles and electrostatic potentials have been considered and the relation with PT symmetry has been pointed out.