Deconfined metallic criticality and Sachdev-Ye-Kitaev physics of spin-1/2 electrons at finite doping

We establish the phase diagram of doped spin-1/2 electrons on a fully connected lattice with random hopping, that are interacting through a random Heisenberg spin exchange as well as finite onsite Hubbard repulsion. Using quantum Monte Carlo simulations in an extended dynamical mean-field theory framework, we show the existence of a quantum critical point which separates two different metallic phases -- a metallic spin-glass phase at low doping and a Fermi liquid at large doping. At the critical doping and finite temperatures, we find non-Fermi liquid scaling of electrons and spin correlation functions; the latter is similar to that of scaling in Sachdev-Ye-Kitaev models. We compare our results to recent renormalization group treatments.