Emergent interacting two-fluids in a disordered Hubbard model*

Recently a number of theoretical studies of models containing lattices of Sachdev-Ye-Kitaev (SYK) islands have brought in a fresh perspective on the problem of non-Fermi liquids. Motivated especially by a two-fluid model, with localized SYK islands and itinerant fermions, that captures the physics of the ``strange’’ metal state of high temperature superconductors, here we discuss the possibility of such a separation of fermionic degrees of freedom starting from a disordered Hubbard model. Our numerical studies indicate that a disordered Hubbard model can lead to the emergence of localized SYK-like islands that interact with itinerant fermions. We also discuss the implications of disorder of the temperature-dependent transport properties.