Dartmouth Events

Abstract: The Yukawa-SYK (YSYK) model describing correlated electrons randomly coupled to bosons has recently attracted much attention due to its resemblance to strange metals, e.g., predicting linear-in-temperature resistivity. It further allows for incorporating electron-phonon-like superconductivity in the same traceable framework, making the YSYK model a promising asset for qualitative studies of strange metal/superconductor transition. We show that aside from depicting a strange metal undergoing a superconducting transition, the YSYK model possesses unconventional behavior of superconducting order parameter fluctuations. Conventionally, superconducting fluctuations are accounted for on top of the mean-field theory, perturbatively suppressing critical temperature and correcting conductivity in the metallic regime. In contrast, we argue that in the case of the YSYK model, superconducting fluctuations play a substantial role in forming the mean-field solution of the model, which impacts both its critical temperature and transport properties.