Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential
Hartmann, Richard R.
Physical Review A - Atomic, Molecular, and Optical Physics
American Physical Society
We analyze bound modes of two-dimensional massless Dirac fermions confined within a hyperbolic secant potential, which provides a good fit for potential profiles of existing top-gated graphene structures. We show that bound states of both positive and negative energies exist in the energy spectrum and that there is a threshold value of the characteristic potential strength for which the first mode appears. Analytical solutions are presented in several limited cases and supercriticality is discussed.
EU FP7 ITN NOTEDEV
FP7 IRSES project SPINMET
FP7 IRSES project QOCaN
FP7 IRSES project InterNoM
Copyright © 2014 American Physical Society
Vol. 89 (1), article 012101
17 N 1TAY12-1TAY13