Non-Fermi glasses: fractionalizing electrons at finite energy density

Understand

Non-Fermi liquids are metals that cannot be adiabatically deformed into free fermion states.

• We argue for the existence of "non-Fermi glasses," which are phases of interacting disordered fermions that are fully many-body localized, yet cannot be deformed into an Anderson insulator without an eigenstate phase transition.
• We explore the properties of such non-Fermi glasses, focusing on a specific solvable example.
• At high temperature, non-Fermi glasses have qualitatively similar spectral features to Anderson insulators.