Cyclotron resonance and quantum oscillations of critical Fermi surfaces
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...
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| description | 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)). |
| doi_str_mv | 10.48550/arxiv.2308.01956 |
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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. 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| subjects | Bosons Cyclotron resonance Doping Fermi liquids Fermi surfaces Momentum Physics - Strongly Correlated Electrons Theorems |
| title | Cyclotron resonance and quantum oscillations of critical Fermi surfaces |
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