Scattering of Dirac electrons by circular mass barriers: valley filter and resonant scattering

Abstract

The scattering of two-dimensional (2D) massless Dirac electrons is investigated in the presence of a random array of circular mass barriers. The inverse momentum relaxation time and the Hall factor are calculated and used to obtain parallel and perpendicular resistivity components within linear transport theory. We found a non zero perpendicular resistivity component which has opposite sign for electrons in the different K and K' valleys. This property can be used for valley filter purposes. The total cross-section for scattering on penetrable barriers exhibit resonances due to the presence of quasi-bound states in the barriers that show up as sharp gaps in the cross-section while for Schrödinger electrons they appear as peaks.

10 pages, 11 figures

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Cited by in corpus (19)

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• Mie scattering analog in graphene: lensing, particle confinement, and depletion of Klein tunneling
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• Scattering of two-dimensional massless Dirac electrons by a circular potential barrier
• Optimal traps in graphene
• All-strain based valley filter in graphene nanoribbons using snake states
• Electron dynamics in strained graphene
• Gate-Tunable Graphene Quantum Dot and Dirac Oscillator
• Dirac model of electronic transport in graphene antidot barriers
• Minimal Geometry for Valley Filtering in Graphene
• Kekulé Induced Valley Birefringence and Skew Scattering in Graphene
• Switchable valley filter based on a graphene $p$-$n$ junction in a magnetic field
• Scattering of a Dirac electron on a mass barrier
• Conductance enhancement due to atomic potential fluctuations in graphene
• Resonant electron scattering by graphene antidot
• On the density of states of circular graphene quantum dots
• Quantitative study of electronic whispering gallery modes in electrostatic-potential induced circular graphene junctions
• Thermoelectric transport in graphene under strain fields modeled by Dirac oscillators
• The transfer matrix approach to circular graphene quantum dots