Electron dynamics in graphene with gate-defined quantum dots

Abstract

We use numerically exact Chebyshev expansion and kernel polynomial methods to study transport through circular graphene quantum dots in the framework of a tight-binding honeycomb lattice model. Our focus lies on the regime where individual modes of the electrostatically defined dot dominate the charge carrier dynamics. In particular, we discuss the scattering of an injected Dirac electron wave packet for a single quantum dot, electron confinement in the dot, the optical excitation of dot-bound modes, and the propagation of an electronic excitation along a linear array of dots.

revised version, 6 pages, 7 figures

References in corpus (11)

• Quantum interference and Klein tunneling in graphene heterojunctions
• The Kernel Polynomial Method
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• Electrostatic confinement of electrons in an integrable graphene quantum dot
• Caustics due to Negative Refractive Index in Circular Graphene p-n Junctions
• Spin-resolved scattering through spin-orbit nanostructures in graphene
• Revivals of quantum wave-packets in graphene
• Rashba Spin Orbit Interaction and Birefringent Electron Optics in Graphene
• Effects of disorder and contacts on transport through graphene nanoribbons

Cited by in corpus (10)

• Scattering of two-dimensional Dirac fermions on gate-defined oscillating quantum dots
• Electron confinement in graphene with gate-defined quantum dots
• Valley filtering in strain-induced $\alpha$-${\mathcal{T}}_3$ quantum dots
• Dot-bound and dispersive states in graphene quantum dot superlattices
• Topological insulators in random potentials
• Electronic Properties of $\alpha -{\mathcal{T}}_3$ Quantum Dots in Magnetic Fields
• Metasurface electron optics in graphene
• Resonant scattering of Dice quasiparticles on oscillating quantum dots
• Imaging the localization of the quasi-bound states in graphene antidots
• A domain-specific language and matrix-free stencil code for investigating electronic properties of Dirac and topological materials