Microscopic origin of the `strange' metal*

We study a disordered Anderson-Hubbard lattice model of strongly interacting fermions. We obtain the space and time dependent electron Green’s function by numerically summing the `melon’ diagrams. We show the emergence of two ``fluids'': (i) a fraction of sites, with weaker hopping than the background, hybridize with a constellation of neighboring sites and nucleate islands, and behave similar to the Sachdev-Ye-Kitaev model; (ii) the remaining background electrons scatter off SYK islands, and display strange metal transport with a linear-in-temperature resistivity, and singular spectral widths down to zero temperature with no coherence scale.