Cyclotron resonance and quantum oscillations of critical Fermi surfaces

TL;DR

This paper explores how Kohn's theorem applies to non-Fermi liquids with critical bosons, revealing that disorder and marginal Fermi liquid behavior can significantly alter the cyclotron mass, relevant to strange metal properties.

Contribution

It demonstrates that Kohn's theorem extends to certain non-Fermi liquids and calculates how disorder-induced marginal Fermi liquids modify the cyclotron mass.

Findings

Kohn's theorem applies to disorder-free non-Fermi liquids with critical bosons.

Marginal Fermi liquids with random Yukawa coupling show significant cyclotron mass corrections.

The theory explains properties of strange metals, including linear-in-temperature resistivity.

Abstract

Kohn's theorem places strong constraints on the cyclotron response of Fermi liquids. Recent observations of a doping dependence in the cyclotron mass of La$_{2-x}$Sr$_x$CuO$_4$ (Legros et al., Phys. Rev. B 106, 195110 (2022)) are therefore surprising because the cyclotron mass can only be renormalized by large momentum umklapp interactions which are not expected to vary significantly with doping. We show that a version of Kohn's theorem continues to apply to disorder-free non-Fermi liquids with a critical boson near zero momentum. However, marginal Fermi liquids arising from a spatially random Yukawa coupling between the electrons and bosons do give rise to significant corrections to the cyclotron mass which we compute. This is the same theory which yields linear-in-temperature resistivity and other properties of strange metals at zero fields (Patel et al., Science 381, 790 (2023)).