Hall and dissipative viscosity effects on edge magnetoplasmons

Abstract

Hydrodynamic and viscous effects in electronic liquids are at the focus of much current research. Most intriguing is perhaps the non-dissipative Hall viscosity, which, due to its symmetry-protected topological nature, can help identify complex topological orders. In this work we study the effects of viscosity in general, and Hall viscosity in particular, on the dispersion relation of edge magnetoplasmons in 2D electronic systems. Using an extension of the standard Wiener-Hopf technique we derive a general solution to the problem, accounting for the long-range Coulomb potential. Among other features we find that on the edge viscosity affects the dispersion already to leading order in the wavevector, making edge modes better suited for its measurement as compared to their bulk counterparts.

10 pages, 4 figures; v2: published version

References in corpus (14)

• Non-Abelian Anyons and Topological Quantum Computation
• Hydrodynamics of electrons in graphene
• Framing Anomaly in the Effective Theory of Fractional Quantum Hall Effect
• Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
• Density-curvature response and gravitational anomaly
• Transport signatures of Hall viscosity
• Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
• Vorticity induced negative nonlocal resistance in viscous two-dimensional electron system
• Observation of inter-edge magnetoplasmon mode in a degenerate two-dimensional electron gas
• Hall viscosity and electromagnetic response of electrons in graphene
• Edge pseudo-magnetoplasmons
• Galilean invariance at quantum Hall edge
• Ward Identities for Hall Transport
• Chiral second-sound collective mode at the edge of 2D systems with nontrivial Berry curvature

Cited by in corpus (28)

• Hydrodynamic approach to two-dimensional electron systems
• Two-dimensional electron honey: highly viscous electron fluid in which transverse magnetosonic waves can propagate
• Dissipative and Hall viscosity of a disordered 2D electron gas
• The Hall effect in ballistic flow of two-dimensional interacting particles
• Non-local hydrodynamic transport and collective excitations in Dirac fluids
• Edge diffraction and plasmon launching in two-dimensional electron systems
• Optical $N$-invariant of graphene's viscous Hall fluid
• Viscous Maxwell-Chern-Simons theory for topological electromagnetic phases of matter
• Plasmonic modes at inclined edges of anisotropic 2D materials
• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Theory of plasmonic edge states in chiral bilayer systems
• Magnetodrag in hydrodynamic regime: effects of magnetoplasmon resonance and Hall viscosity
• Unidirectional plasmonic edge modes on general two-dimensional materials
• Nonretarded edge plasmon-polaritons in anisotropic two-dimensional materials
• Edge plasmon-polaritons on isotropic semi-infinite conducting sheets
• Refraction laws for two-dimensional plasmons
• Corbino magnetoresistance in neutral graphene
• Residual bulk viscosity of a disordered 2D electron gas
• Dipole excitation of collective modes in viscous two-dimensional electron systems
• Rotational viscosity in spin resonance of hydrodynamic electrons
• Spin imaging of Poiseuille flow of viscous electronic fluid
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Thresholdless excitation of edge plasmons by transverse current
• Plasma solitons in gated two-dimensional electron systems: exactly solvable analytical model for the regime beyond weak non-linearity
• Optical N-plasmon: Topological hydrodynamic excitations in Graphene from repulsive Hall viscosity
• Tomographic collective modes in a magnetic field
• Ballistic-to-hydrodynamic transition and collective modes for two-dimensional electron systems in magnetic field
• The Wiener--Hopf Technique, its Generalisations and Applications: Constructive and Approximate Methods