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  • Letter

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

Serhii Kryhin and Leonid Levitov

  • Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

Phys. Rev. B 107, L201404 – Published 16 May, 2023

DOI: https://doi.org/10.1103/PhysRevB.107.L201404

Abstract

For a long time, it has been thought that two-dimensional (2D) Fermi gases could support long-lived excitations, owing 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 the Landau Fermi-liquid theory by a factor as large as (TF/T)α with α≈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 sech2 potential. In this framework, we identify the long-lived excitations in Fermi gases as zero modes that arise from supersymmetry.

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