Collinear scattering and long-lived excitations in two-dimensional electron fluids

Abstract

For a long time, it has been thought that 2D Fermi gases could support long-lived excitations, thanks to the collinear quasiparticle scattering controlled by phase space constraints at a 2D Fermi surface. We present a direct calculation that reveals such excitations. The excitation lifetimes are found to exceed the fundamental bound set by Landau Fermi-liquid theory by a factor as large as $(T_F/T{)}^{\alpha }$ with $\alpha \approx 2$. These excitations represent Fermi-surface modulations of an odd parity, one per each odd angular momentum. To explain this surprising behavior, we employ a connection between the linearized quantum kinetic equation and the dynamics of a fictitious quantum particle moving in a 1D reflectionless $\sec {\mathrm{h}}^2$ potential. In this framework, we identify the long-lived excitations in Fermi gases as zero modes that arise from supersymmetry.

arXiv comment16 pgs, 6 fgs

References in corpus (28)

• Ultrafast collinear scattering and carrier multiplication in graphene
• Hydrodynamics of electrons in graphene
• Unconventional quasiparticle lifetime in graphite
• 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
• Coulomb scattering lifetime of a two-dimensional electron gas
• Non-analytic corrections to the Fermi-liquid behavior
• Photo-excited Carrier Dynamics and Impact Excitation Cascade in Graphene
• A Corbino disk viscometer for 2D quantum electron liquids
• Finite temperature inelastic mean free path and quasiparticle lifetime in graphene
• Tomographic Dynamics and Scale-Dependent Viscosity in Two-Dimensional Electron Systems
• Magnetohydrodynamics in graphene: shear and Hall viscosities
• 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
• Lévy flights and hydrodynamic superdiffusion on the Dirac cone of Graphene
• Propagation of shear stress in strongly interacting metallic Fermi liquids enhances transmission of terahertz radiation
• Optical signatures of shear collective modes in strongly interacting Fermi liquids
• Relaxation of optically excited carriers in graphene: Anomalous diffusion and Lévy flights
• Magnetic hallmarks of viscous electron flow in graphene
• Collinear scattering of photoexcited carriers in graphene
• Photoexcitation Cascade and Quantum-Relativistic Jets in Graphene

Cited by in corpus (12)

• Anomalously long lifetimes in two-dimensional Fermi liquids
• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Nonlocal conductivity, continued fractions and current vortices in electron fluids
• Long distance electron-electron scattering detected with point contacts
• Linear-in-temperature conductance in two-dimensional electron fluids
• Slip electron flow in GaAs microscale constrictions
• Nonequilibrium Relaxation and Odd-Even Effect in Finite-Temperature Electron Gases
• Accelerating analysis of Boltzmann equations using Gaussian mixture models: Application to quantum Bose-Fermi mixtures
• Transition between scattering regimes of 2D electron transport
• Anomalous Knudsen effect signaling long-lived modes in 2D electron gases
• Tunable viscous layers in Corbino geometry using density junctions
• Transverse voltage in anisotropic hydrodynamic conductors