Localization of massless Dirac particles via spatial modulations of the Fermi velocity
Journal of Physics: Condensed Matter
© Copyright 2017 IOP Publishing
Reason for embargo
The electrons found in Dirac materials are notorious for being difficult to manipulate due to the Klein phenomenon and absence of backscattering. Here we investigate how spatial modulations of the Fermi velocity in two-dimensional Dirac materials can give rise to localization effects, with either full (zero-dimensional) confinement or partial (one-dimensional) confinement possible depending on the geometry of the velocity modulation. We present several exactly solvable models illustrating the nature of the bound states which arise, revealing how the gradient of the Fermi velocity is crucial for determining fundamental properties of the bound states such as the zero-point energy. We discuss the implications for guiding electronic waves in few-mode waveguides formed by Fermi velocity modulation.
We acknowledge financial support from the CNRS, as well as the EU H2020 RISE project CoExAN (Grant No. H2020-644076), EU FP7 ITN NOTEDEV (Grant No. FP7-607521), and the FP7 IRSES projects CANTOR (Grant No. FP7-612285), QOCaN (Grant No. FP7-316432), and InterNoM (Grant No. FP7-612624). We would like to thank Jenny Zhao for several illuminating discussions.
This is the author accepted manuscript. The final version is available from IOP Publishing via the DOI in this record.
Vol. 29, No. 31, pp. 315301-1 - 315301-8 (8)