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Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model

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arxiv 2406.07608 v4 pith:ZEMXUPKE submitted 2024-06-11 cond-mat.str-el cond-mat.supr-conhep-th

Chenyuan Li , Davide Valentinis , Aavishkar A. Patel , Haoyu Guo , Jörg Schmalian , Subir Sachdev , Ilya Esterlis This is my paper · ORCID
classification cond-mat.str-elcond-mat.supr-conhep-th
keywords modelcriticalcupratesd-ysykquantumrandomstiffnesssuperconducting
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The two-dimensional Yukawa-Sachdev-Ye-Kitaev (2d-YSYK) model provides a universal theory of quantum phase transitions in metals in the presence of quenched random spatial fluctuations in the local position of the quantum critical point. It has a Fermi surface coupled to a scalar field by spatially random Yukawa interactions. We present full numerical solutions of a self-consistent disorder averaged analysis of the 2d-YSYK model in both the normal and superconducting states, obtaining electronic spectral functions, frequency-dependent conductivity, and superfluid stiffness. Our results reproduce key aspects of observations in the cuprates as analyzed by Michon et al. (arXiv:2205.04030). We also find a regime of increasing zero temperature superfluid stiffness with decreasing superconducting critical temperature, as is observed in bulk cuprates.

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Cited by 3 Pith papers

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

  1. Holographic Learning from Fermionic Spectra: Application to Strange Metal Phenomenology

    hep-th 2026-07 conditional novelty 7.0 of 10

    Neural ODEs learn that normalized low-T cuprate PLL spectra are well described by conformal-to-AdS2 black holes with nearly vanishing gauge potential, while thermodynamics remain invisible to the massless probe.

  2. Lectures on insulating and conducting quantum spin liquids

    cond-mat.str-el 2025-12 unverdicted novelty 3.0 of 10

    The notes argue that the FL* state — small pockets plus a quantized spin-liquid anomaly — resolves the ADMR pocket and v_F >> v_Delta problems that defeated holon-metal and plain fermionic-parton theories of the cuprates.

  3. 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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