Mie scattering analog in graphene: lensing, particle confinement, and depletion of Klein tunneling

Abstract

Guided by the analogy to Mie scattering of light on small particles we show that the propagation of a Dirac-electron wave in graphene can be manipulated by a circular gated region acting as a quatum dot. Large dots enable electron lensing, while for smaller dots resonant scattering entails electron confinement in quasibound states. Forward scattering and Klein tunneling can be almost switched off for small dots by a Fano resonance arising from the interference between resonant scattering and the background partition.

6 pages, 4 figures, references corrected

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Cited by in corpus (44)

• Atomically thin p-n junctions based on two-dimensional materials
• Creating and Probing Electron Whispering Gallery Modes in Graphene
• Tuning a Circular p-n Junction in Graphene from Quantum Confinement to Optical Guiding
• A Two-dimensional Dirac fermion microscope
• Oblique Klein tunneling in 8-Pmmn borophene p-n junctions
• Scattering of two-dimensional massless Dirac electrons by a circular potential barrier
• Optimal traps in graphene
• Chaos in Dirac electron optics: Emergence of a relativistic quantum chimera
• Scattering of two-dimensional Dirac fermions on gate-defined oscillating quantum dots
• Valley Hall Effect and Non-Local Resistance in Locally Gapped Graphene
• Electron dynamics in graphene with gate-defined quantum dots
• Electron confinement in graphene with gate-defined quantum dots
• Density of states as a probe of electrostatic confinement in graphene
• Valley filtering in strain-induced $\alpha$-${\mathcal{T}}_3$ quantum dots
• Dirac model of electronic transport in graphene antidot barriers
• Large-scale tight-binding simulations of quantum transport in ballistic graphene
• Gradient-index electron optics in graphene pn junctions
• Dot-bound and dispersive states in graphene quantum dot superlattices
• Valley current generation using biased bilayer graphene dots
• Graphene Transport Mediated by Micropatterned Substrates
• A Lévy flight for electrons in graphene: superdiffusive-to-diffusive transport transition
• Scattering in Monolayer Molybdenum Disulfide Quantum Dot
• Topological insulators in random potentials
• Floquet scattering of light and sound in Dirac optomechanics
• Resonant electron scattering by graphene antidot
• Electron Scattering in Gapped Graphene Quantum Dots
• Decay of semiclassical massless Dirac fermions from integrable and chaotic cavities
• Cloaking Resonant Scatterers and Tuning Electron Flow in Graphene
• Perfect transmission at oblique incidence by trigonal warping in graphene P-N junctions
• Lévy flight for electrons in graphene in the presence of regions with enhanced spin-orbit coupling
• Chaos based Berry phase detector
• Electronic Properties of $\alpha -{\mathcal{T}}_3$ Quantum Dots in Magnetic Fields
• Metasurface electron optics in graphene
• Electron trapping in graphene quantum dots with magnetic flux
• Resonant scattering of Dice quasiparticles on oscillating quantum dots
• Imaging the localization of the quasi-bound states in graphene antidots
• Electronic scattering, focusing, and resonance by a spherical barrier in Weyl semimetals
• The transfer matrix approach to circular graphene quantum dots
• Spin-dependent edge states in two-dimensional Dirac materials with a flat band
• A domain-specific language and matrix-free stencil code for investigating electronic properties of Dirac and topological materials
• Electronic analogue of Fourier optics with mass-less Dirac fermions scattered by quantum dot lattice
• Exploring matter wave scattering by means of the phase diagram
• Magnetic control of electron scattering in silicene quantum dots
• Confinement in a magnetically induced WSe${}_2$ quantum dots