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arXiv · 2210.16300

Anomalously long lifetimes in two-dimensional Fermi liquids

Johannes Hofmann·Ulf Gran
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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 $T \lesssim 0.1 T_F$, putting this regime within the reach of current experiments.

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Johannes Hofmann, Ulf Gran. 2022-10-28. Anomalously long lifetimes in two-dimensional Fermi liquids. https://doi.org/10.1103/physrevb.108.l121401

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