Strange metallicity and superconductivity in quantum many-body systems

Strange metal behavior has been observed in most high temperature superconductors, yet its  relationship to unconventional superconductivity remains elusive. In the first part of this talk, I  will address this problem using the two-dimensional Yukawa-Sachdev-Ye-Kitaev (2D-YSYK)  model, which provides a universal theory of strange metals from spatially random interactions  [1]. I will present full numerical solutions of a self-consistent disorder averaged analysis of the  2D-YSYK model. The results reproduce key aspects of observations in the cuprates. Motivated by  the recent discovery of superconductivity in twisted bilayer WSe₂, I then turn to this highly tunable moiré platform. I will present our recent progress on the underlying correlation physics based on the notion of topology-induced quantum fluctuations in twisted WSe₂ [2,3]. We  identify the possible superconducting pairing channels through symmetry-based classification  and energetic analysis, which highlight the natural emergence of topological superconductivity  in this system. 

In the second part of the seminar, I will outline my long-term vision for developing a research  group in quantum modeling within the EUCENTRAL framework. The goal is to advance our  understanding of non-equilibrium quantum many-body systems with long-ranged interactions  through advanced computational tools. My approach to research software development and  maintenance will also be discussed. 

[1] C. Li et al., “Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye Kitaev model”, Phys. Rev. Lett. 133, 186502 (2024) 

[2] F. Xie, C. Li, et al., Kondo-lattice phenomenology of twisted bilayer WSe₂from compact  molecular orbitals of topological bands. arXiv:2503.21769.

https://us06web.zoom.us/j/83563474461?pwd=bkUYfdnNA2fxkmgqSF3h5QJQS33FDe.1