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Large $N$ theory of critical Fermi surfaces II: conductivity

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arxiv 2207.08841 v8 pith:VE53ETHI submitted 2022-07-18 cond-mat.str-el hep-th

Haoyu Guo , Aavishkar A. Patel , Ilya Esterlis , Subir Sachdev This is my paper · ORCID
classification cond-mat.str-elhep-th
keywords fermiconductivitycontributioncriticalfindliquidomegaoptical
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abstract

A Fermi surface coupled to a scalar field can be described in a $1/N$ expansion by choosing the fermion-scalar Yukawa coupling to be random in the $N$-dimensional flavor space, but invariant under translations. We compute the conductivity of such a theory in two spatial dimensions for a critical scalar. We find a Drude contribution, and verify that the proposed $1/\omega^{2/3}$ contribution to the optical conductivity at frequency $\omega$ has vanishing co-efficient for a convex Fermi surface. We also describe the influence of impurity scattering of the fermions, and find that while the self energy resembles a marginal Fermi liquid, the resistivity and optical conductivity behave like a Fermi liquid.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Lattice composite Fermi liquid with broken inversion symmetry

    cond-mat.str-el 2026-07 accept novelty 7.0 of 10

    Inversion-asymmetric lattice composite Fermi liquids show singular optical resistivity ∼|ω|^{4/3}, nonreciprocal finite-q Hall response, and enhanced Umklapp DC resistivity absent in continuum CFLs.

  2. Linear Resistivity from Spatially Random Interactions and the Uniqueness of Yukawa Coupling

    hep-th 2025-07 conditional novelty 6.0 of 10

    Only the two-dimensional spatially random Yukawa coupling, among all (ψ†ψ)^n φ^m scalar couplings, yields linear-in-temperature resistivity in the large-N SYK-rised framework.

  3. Hall Angle of a Spatially Random Vector Model

    hep-th 2025-01 conditional novelty 5.0 of 10

    In a spatially random vector-coupling model with a magnetic field, linear-T resistivity persists while the Hall angle follows normal 1/T behavior rather than the strange-metal T^2 law.

  4. The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions

    cond-mat.str-el 2025-01 conditional novelty 3.0 of 10

    The paper attributes the cuprate 'foot' to a disordered spin-density-wave transition and the 'fan' to a disorder-tuned FL-to-FL* Fermi-volume-changing transition described by a two-dimensional Yukawa-SYK model.

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