Nonlocal conductivity, continued fractions and current vortices in electron fluids

Abstract

Vortices in electron fluids are a key indicator of electron hydrodynamics. However, a comprehensive framework linking macroscopic vorticity measurements with microscopic interactions and scattering mechanisms has been lacking. We employ wavenumber-dependent conductivity $\sigma (k)$ incorporating realistic microscopic scattering processes, aiming to clarify the relationship between nonlocal response and vortices across ballistic and hydrodynamic phases. Vorticity is found to take similar values in both phases but feature very different sensitivity to momentum-relaxing scattering, with ballistic vortical flows being orders-of-magnitude more resilient than the hydrodynamic ones. This behavior can serve as a simple diagnostic of the microscopic origin of vorticity in electron fluids.

17 pgs, 7 fgs

References in corpus (38)

• Negative local resistance caused by viscous electron backflow in graphene
• Superballistic flow of viscous electron fluid through graphene constrictions
• Hydrodynamics of electrons in graphene
• Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene
• Imaging viscous flow of the Dirac fluid in graphene
• Visualizing Poiseuille flow of hydrodynamic electrons
• Hydrodynamic description of transport in strongly correlated electron systems
• Higher-Than-Ballistic Conduction of Viscous Electron Flows
• Hydrodynamic Electron Flow and Hall Viscosity
• Bulk and shear viscosities of the 2D electron liquid in a doped graphene sheet
• Imaging phonon-mediated hydrodynamic flow in WTe2
• The boundary conditions of viscous electron flow
• Direct observation of vortices in an electron fluid
• Electron hydrodynamics dilemma: whirlpools or no whirlpools
• Scanning Gate Microscopy in a Viscous Electron Fluid
• A Corbino disk viscometer for 2D quantum electron liquids
• Linking Spatial Distributions of Potential and Current in Viscous Electronics
• Magnetohydrodynamics in graphene: shear and Hall viscosities
• Observation of current whirlpools in graphene at room temperature
• Tomographic Dynamics and Scale-Dependent Viscosity in Two-Dimensional Electron Systems
• Viscosity of two-dimensional electrons
• The Hierarchy of Excitation Lifetimes in Two-Dimensional Fermi Gases
• Particle Collisions and Negative Nonlocal Response of Ballistic Electrons
• Hydrodynamic collective modes in graphene
• Anomalous Hydrodynamic Transport in Interacting Noncentrosymmetric Metals
• Collective modes in interacting two-dimensional tomographic Fermi liquids
• Viscometry of electron fluids from symmetry
• Electron hydrodynamics of anomalous Hall materials
• Propagation of shear stress in strongly interacting metallic Fermi liquids enhances transmission of terahertz radiation
• The universal shear conductivity of Fermi liquids and spinon Fermi surface states and its detection via spin qubit noise magnetometry
• Alternating currents and shear waves in viscous electronics
• Optical signatures of shear collective modes in strongly interacting Fermi liquids
• Collinear scattering and long-lived excitations in two-dimensional electron fluids
• Thermal dynamics and electronic temperature waves in layered correlated materials
• Quantum Paracrystalline Shear Modes of the Electron Liquid
• Linking boundary conditions for kinetic and hydrodynamic description of fermion gas
• Magnetic hallmarks of viscous electron flow in graphene
• Viscous flow through a finite-width slit: Boundary conditions and dissipation

Cited by in corpus (8)

• Linear-in-temperature conductance in two-dimensional electron fluids
• Two-dimensional electron gases as non-Newtonian fluids
• Electric and spin current vortices in altermagnets
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• Odd-parity effect and scale-dependent viscosity in atomic quantum gases
• Multipolar Fermi Surface Deformations in Sr${}_2$RuO${}_4$ Probed by Resistivity and Sound Attenuation: A Window into Electron Viscosity and the Collision Operator
• Odd relaxation in three-dimensional Fermi liquids
• Tomographic collective modes in a magnetic field