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

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

August 2, 2024 | Chenyuan Li, Davide Valentinis, Aavishkar A. Patel, Haoyu Guo, Jörg Schmalian, Subir Sachdev, and Ilya Esterlis
The two-dimensional Yukawa-Sachdev-Ye-Kitaev (2d-YSYK) model is a universal theory for quantum phase transitions in metals with quenched random spatial fluctuations at the quantum critical point. The model couples a Fermi surface to a scalar field through spatially random Yukawa interactions. The authors present 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. Their results reproduce key aspects of observations in cuprates, including a monotonic relationship between the superconducting critical temperature and the slope of the linear temperature-dependent resistivity, an overdoped regime where decreasing critical temperature is accompanied by increasing zero-temperature superfluid density, and a connection between the normal state conductivity at the critical temperature and Homes' Law. The model also exhibits a regime where the zero-temperature superfluid stiffness increases with decreasing superconducting critical temperature, similar to observations in bulk cuprates. The authors discuss the implications of these findings for the phenomenology of strange metals and superconductors, emphasizing the role of spatial disorder in these systems.The two-dimensional Yukawa-Sachdev-Ye-Kitaev (2d-YSYK) model is a universal theory for quantum phase transitions in metals with quenched random spatial fluctuations at the quantum critical point. The model couples a Fermi surface to a scalar field through spatially random Yukawa interactions. The authors present 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. Their results reproduce key aspects of observations in cuprates, including a monotonic relationship between the superconducting critical temperature and the slope of the linear temperature-dependent resistivity, an overdoped regime where decreasing critical temperature is accompanied by increasing zero-temperature superfluid density, and a connection between the normal state conductivity at the critical temperature and Homes' Law. The model also exhibits a regime where the zero-temperature superfluid stiffness increases with decreasing superconducting critical temperature, similar to observations in bulk cuprates. The authors discuss the implications of these findings for the phenomenology of strange metals and superconductors, emphasizing the role of spatial disorder in these systems.
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