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arXiv · 2406.07608

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
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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. (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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Chenyuan Li, Davide Valentinis, Aavishkar A. Patel, Haoyu Guo, Jörg Schmalian, Subir Sachdev, Ilya Esterlis. 2024-06-11. Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model. https://doi.org/10.1103/physrevlett.133.186502

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