Many-body localization of pseudofermions

For a one-dimensional disordered pseudofermion model, we compute numerically a number of physical properties associated with MBL in both localized and delocalized regions. We determine that the half-chain entanglement entropy grows logarithmically slowly and that the highly excited eigenstates in the MBL phase obey an area-law rather than a volume-law. The deep MBL phase is shown to have a Poisson-like probability distribution for the adjacent energy level gap-ratio parameter. A number of physical characteristics are demonstrated to be nonmonotonically reliant on the anyon statistical angle, including the critical disorder strength, the long-time limit of the particle imbalance, the neighboring energy level gap ratio parameter, and the half-chain entanglement.