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Title: Graphene levitons and anti-levitons in magnetic fields
Authors: Forrester, Michael
Kusmartsev, F.V.
Issue Date: 2014
Publisher: Royal Society of Chemistry
Citation: FORRESTER, D.M. and KUSMARTSEV, F.V., 2014. Graphene levitons and anti-levitons in magnetic fields. Nanoscale, 6, pp.7594-7603.
Abstract: 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.
Description: This article is licensed under a Creative Commons Attribution 3.0 Unported Licence.
Version: Published
DOI: 10.1039/c4nr00754a
URI: https://dspace.lboro.ac.uk/2134/15083
Publisher Link: http://dx.doi.org/10.1039/c4nr00754a
Appears in Collections:Published Articles (Chemical Engineering)

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