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Scattering of massless Dirac particles by oscillating barriers in one dimension

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Gonzalez-Santander, C and Domínguez-Adame Acosta, Francisco and Fuentevilla, c. H. and Díez, E. (2014) Scattering of massless Dirac particles by oscillating barriers in one dimension. Physics letters A, 378 (13). pp. 927-930. ISSN 0375-9601

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Official URL: http://dx.doi.org/10.1016/j.physleta.2014.01.017


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Abstract

We study the scattering of massless Dirac particles by oscillating barriers in one dimension. Using the Floquet theory, we find the exact scattering amplitudes for time-harmonic barriers of arbitrary shape. In all cases the scattering amplitudes are found to be independent of the energy of the incoming particle and the transmission coefficient is unity. This is a manifestation of the Klein tunneling in time-harmonic potentials. Remarkably, the transmission amplitudes for arbitrary sharply-peaked potehtials also become independent of the driving frequency. Conditions for which barriers of finite width can be replaced by sharply-peaked potentials are discussed.


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©2014 Elsevier B.V. All rights reserved.
This work was supported by MICINN (projects MAT2010-17180 and FIS2009-07880), JCYL (project SA226U13) and USAL (project KBBB). C.G.-S. acknowledges financial upport from Comunidad de Madrid and European Social Foundation.

Uncontrolled Keywords:Klein paradox; Graphene; Reflection; Electrons; Equation
Subjects:Sciences > Physics > Materials
Sciences > Physics > Solid state physics
ID Code:31025
Deposited On:19 Jun 2015 15:41
Last Modified:28 Feb 2016 00:01

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