Issue 13, 2014

Graphene levitons and anti-levitons in magnetic fields


The leviton is an electron or hole wavepacket that rides the surface of the Fermi sea. When a series of Lorentzian or Gaussian time dependent pulses are applied to an ultracold system a soliton-like excitation with only one electron and no localised hole emerges. Graphene is a unique system where the Fermi surface may arise from a Dirac point and therewith the levitons character may display many interesting features. For example, the leviton formation may be associated with a chiral anomaly, and inside a single potential step an anti-leviton forms. We show that the application of weak magnetic fields may switch on and off the leviton Klein tunnelling. Also, in a moderate field negative refraction arises along a curved trajectory, whereas with a stronger field a new elementary excitation – the levity vortex – in the reflected wavefunction occurs. Herein we describe these phenomena in detail along with a complete explanation of the transmission of graphene levitons at a step potential in terms of the probability densities and a series of phase diagrams and the tunnelling times.

Graphical abstract: Graphene levitons and anti-levitons in magnetic fields

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Article information

Article type
11 Feb 2014
09 May 2014
First published
13 May 2014
This article is Open Access
Creative Commons BY license

Nanoscale, 2014,6, 7594-7603

Author version available

Graphene levitons and anti-levitons in magnetic fields

D. M. Forrester and F. V. Kusmartsev, Nanoscale, 2014, 6, 7594 DOI: 10.1039/C4NR00754A

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