Universal theory of strange metals from spatially random interactions

Non-Fermi liquid metallic phases (also known as strange metals) are widespread in two-dimensional or quasi two-dimensional materials with strongly correlated electrons, displaying electrical resistances that famously vary linearly with temperature (T) at low temperatures, in stark contrast to the higher powers of temperature predicted by Fermi liquid theory. This robust phenomenon, as well as other experimental observations, suggest that electrons must undergo inelastic collisions that do not conserve momentum, i.e. spatial disorder affects the interactions between electrons. I will describe a body of theoretical work on the controlled computation of the transport properties of non-Fermi liquids, allowing for the careful consideration of the role of interactions, disorder, and disordered interactions, culminating in a realistic and universal model for the ubiquitous T-linear resistivity. I will also present results from large scale sign-free hybrid quantum Monte Carlo simulations of the models studied theoretically, which support the theoretical results. Additionally, connections between these models and recent experiments on non-Fermi liquids involving phenomena such as cyclotron resonances and current shot noise will be discussed.