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

• DOI: 10.48550/arxiv.2406.07608
• Publication Date: 2024-10-30
• Authors: Chenyuan Li; Davide Valentinis; Aavishkar A. Patel; Haoyu Guo; Jörg Schmalian; Subir Sachdev; Ilya Esterlis
• Keywords: High Energy Physics - Theory; Superconductivity (cond-mat.supr-con); Condensed Matter - Strongly Correlated Electrons; Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Condensed Matter - Superconductivity; FOS: Physical sciences

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.<br/>9+15 pages, 6+11 figures; references added<br/>