1210.0102 (Omar Mustafa)

(1+1)-Dirac bound states in one-dimensional heterostructures;
position-dependent Fermi velocity and mass    [PDF]

Omar Mustafa

We extend Panella and Roy's [13] work on one-dimensional heterostructure for massless Dirac particles with position-dependent (PD) velocity. We consider Dirac particles where both the mass and velocity are position-dependent. Bound states in the continuum (BIC)-like and discrete bound state solutions are reported. It is observed that BIC-like solutions are not only feasible for the ultra-relativistic (massless) Dirac particles but also for Dirac particles with PD-mass and PD-velocity that satisfy the condition m(x)v(x)v(x)=A, where A is constant. (1+1)-Dirac Poschl-Teller and harmonic oscillator models are also reported.

View original: http://arxiv.org/abs/1210.0102