Cyclotron resonance and quantum oscillations of critical Fermi surfaces

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)).

55 pages, 29 figures. (v2) Added new authors and new results. (v3) added panel (b) for Fig.15

References in corpus (6)

• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Universal theory of strange metals from spatially random interactions
• Large $N$ theory of critical Fermi surfaces
• Large $N$ theory of critical Fermi surfaces II: conductivity
• Loop current fluctuations and quantum critical transport
• Evolution of the cyclotron mass with doping in La${}_{2-x}$Sr${}_x$CuO${}_4$

Cited by in corpus (14)

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• Beyond Drude transport in hydrodynamic metals
• Fractionalized Fermi liquids and the cuprate phase diagram
• Hall Angle of a Spatially Random Vector Model
• Fermi Surface Bosonization for Non-Fermi Liquids
• Strong non-linear response of strange metals
• Superlinear Hall angle and carrier mobility from non-Boltzmann magnetotransport in the spatially disordered Yukawa-Sachdev-Ye-Kitaev model on a square lattice
• Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking
• Strange metal at the Lifshitz transition
• Upper bound on $T_c$ in a strongly coupled electron-boson superconductor
• A theorem of Kohn applied to quantum oscillations in Cuprates
• Phonon Induced Energy Relaxation in Quantum Critical Metals