Relativistic electron transport through an oscillating barrier: wave packet generation and Fano-type resonances

Abstract

Transport properties of massive Dirac particles are investigated through an oscillating barrier. The Floquet quasienergies related to the time-dependent potential appear both in transmission and reflection as sidebands around the incoming electron's energy. We take all relevant sidebands into account and present time averaged transmission and reflection probabilities in a wide energy range. Most qualitative features of scattering on a static barrier -- like Klein paradox -- are still visible, but the transmission probability in the evanescent regime observably increases due to the oscillation of the potential. The strongly inelastic scattering process is shown to lead to multiple Fano-type resonances and temporal trapping of the particles inside the oscillating potential. We also present a detailed study of the time evolution of the wave packets generated in the scattering process. Our results can be relevant for graphene with an induced energy gap.

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• Effects of discrete topology on quantum transport across a graphene $n-p-n$ junction: A quantum gravity analogue
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• Nonlinear response of a ballistic graphene transistor with an ac-driven gate: high harmonic generation and THz detection
• Shot noise in a harmonically driven ballistic graphene transistor
• Scattering of charged particles on two spatially separated time-periodic optical fields
• Pseudospin-one particles in the time-periodic dice lattice: A new approach to transport control