Bound states in graphene via Fermi velocity modulation
Department of Mathematics, Binapani Balika Vidyalaya (HS) North 24, 700063, Parganas, India
2 Physics & Applied Mathematics Unit, Indian Statistical Institute, 700 108, Kolkata, India
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Accepted: 28 December 2016
Published online: 23 January 2017
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2017