Scattering of massless Dirac particles by oscillating barriers in one dimension

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 incom...

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Detalles Bibliográficos
Autores: González-Santander de la Cruz, Clara, Domínguez-Adame Acosta, Francisco, Fuentevilla, c. H., Díez Alcántara, Eduardo
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/34746
Acceso en línea:https://hdl.handle.net/20.500.14352/34746
Access Level:acceso abierto
Palabra clave:538.9
Klein paradox
Graphene
Reflection
Electrons
Equation
Física de materiales
Física del estado sólido
2211 Física del Estado Sólido
Descripción
Sumario: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.