Strange Metal and Superconductor in the Two-Dimensional Yukawa-Sachdev-Ye-Kitaev Model

Chenyuan Li; Davide Valentinis; Aavishkar A. Patel; Haoyu Guo; Jörg Schmalian; Subir Sachdev; Ilya Esterlis

doi:10.1103/PhysRevLett.133.186502

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Strange Metal and Superconductor in the Two-Dimensional Yukawa-Sachdev-Ye-Kitaev Model

Chenyuan Li, Davide Valentinis, Aavishkar A. Patel, Haoyu Guo, Jörg Schmalian, Subir Sachdev, Ilya Esterlis

DOI 10.1103/PhysRevLett.133.186502 · Physical Review Letters

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Abstract

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. [Nat. Commun. 14, 3033 (2023)]. We also find a regime of increasing zero temperature superfluid stiffness with decreasing superconducting critical temperature, as is observed in bulk cuprates.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
La2CuO4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown