Dynamics of Dissipative Quantum Hall Edges

Abstract

We examine the influence of the edge electronic density profile and of dissipation on edge magnetoplasmons in the quantum Hall regime, in a semiclassical calculation. The equilibrium electron density on the edge, obtained using a Thomas-Fermi approach, has incompressible stripes produced by energy gaps responsible for the quantum Hall effect. We find that these stripes have an unobservably small effect on the edge magnetoplasmons. But dissipation, included phenomenologically in the local conductivity, proves to produce significant oscillations in the strength and speed of edge magnetoplasmons in the quantum Hall regime.

23 pages including 10 figures

Cited by in corpus (24)

• Fractionalization of minimal excitations in integer quantum Hall edge channels
• Voltage-controlled Group Velocity of Edge Magnetoplasmon in the Quantum Hall Regime
• Intrinsic and extrinsic decay of edge magnetoplasmons in graphene
• Plasmon transport in graphene investigated by time-resolved measurement
• Interactions suppress Quasiparticle Tunneling at Hall Bar Constrictions
• Distributed-element circuit model of edge magnetoplasmon transport
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Transport in the Laughlin quasiparticle interferometer: Evidence for topological protection in an anyonic qubit
• Transmission lines and resonators based on quantum Hall plasmonics: electromagnetic field, attenuation and coupling to qubits
• Edge State Tunneling in a Split Hall Bar Model
• Non-reciprocal quantum Hall devices with driven edge magnetoplasmons in 2-dimensional materials
• Edge magnetoplasmons in graphene: Effects of gate screening and dissipation
• Transmission Lines and Meta-Materials based on Quantum Hall Plasmonics
• Time-resolved investigation of plasmon mode along interface channels in integer and fractional quantum Hall regimes
• Edge Magnetoplasmons in Quantum Hall Line Junction Systems
• Suppression of Gate Screening on Edge Magnetoplasmons by Highly Resistive ZnO Gate
• Velocity and confinement of edge plasmons in HgTe-based 2D topological insulators
• Gate tunable edge magnetoplasmon resonators
• Frequencies of the Edge-Magnetoplasmon Excitations in Gated Quantum Hall Edges
• Metal-Insulator Transition Tuned by External Gates in Hall Systems with Constrictions
• Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
• Drift velocity of edge magnetoplasmons due to magnetic edge channels
• Design of a Single-Shot Electron detector with sub-electron sensitivity for electron flying qubit operation
• Helical edge magnetoplasmon in the quantum Hall effect regime