Anomalously long lifetimes in two-dimensional Fermi liquids

Abstract

A precise characterization of the recently discovered crossover to hydrodynamic transport in electron liquids, and in particular of a conjectured exotic odd-parity transport regime, requires a full solution of the Fermi-liquid collision integral at all temperatures beyond state-of-the-art analytic leading-logarithmic approximations. We develop a general basis expansion of the linearized collision integral applicable at all temperatures, and employ this to determine the decay rates of Fermi surface perturbations in two-dimensional electron liquids. In particular, we provide exhaustive data on the decay rates for a new odd-parity regime, in which parity-even Fermi surface deformations decay rapidly but odd-parity modes are anomalously long lived. We find that this transport regime exists at fairly large temperatures $T\lesssim 0.1T_F$, putting this regime within the reach of current experiments.

6 pages, 3 figures

References in corpus (6)

• Hydrodynamics of electrons in graphene
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Collective modes in interacting two-dimensional tomographic Fermi liquids
• Hydrodynamics, viscous electron fluid, and Wiedeman-Franz law in 2D semiconductors
• Collinear scattering and long-lived excitations in two-dimensional electron fluids
• Know the enemy: 2D Fermi liquids

Cited by in corpus (21)

• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Superballistic conduction in hydrodynamic antidot graphene superlattices
• Fluctuation Spectrum of Critical Fermi Surfaces
• Testing the tomographic Fermi liquid hypothesis with high-order cyclotron resonance
• Linear-in-temperature conductance in two-dimensional electron fluids
• Magnetic field suppression of tomographic electron transport
• Two-dimensional electron gases as non-Newtonian fluids
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• Nonlinear thermoelectric probes of anomalous electron lifetimes in topological Fermi liquids
• Odd-parity effect and scale-dependent viscosity in atomic quantum gases
• Slip electron flow in GaAs microscale constrictions
• Accelerating analysis of Boltzmann equations using Gaussian mixture models: Application to quantum Bose-Fermi mixtures
• Superballistic paradox in electron fluids: Evidence of tomographic transport
• Nonequilibrium Relaxation and Odd-Even Effect in Finite-Temperature Electron Gases
• Transition between scattering regimes of 2D electron transport
• Dispersion of first sound in a weakly interacting ultracold Fermi liquid
• Anomalous Knudsen effect signaling long-lived modes in 2D electron 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
• Transverse voltage in anisotropic hydrodynamic conductors