Local density of states and scattering rates across the many-body localization transition

Characterizing the many-body localization (MBL) transition in strongly disordered and interacting quantum systems is an important issue field of condensed matter physics. We study single particle Green's functions for a system one dimension using exact diagnonalization infinite temperature limit provide strong evidence that excitations carry signatures delocalization to MBL transition. In delocalized phase, typical values local density states scattering rate are finite while both quantities become vanishingly small. The probability distribution broad log-normal distributions phase very narrow sharply peaked close zero phase. also eigenstate function all eigenstates demonstrate both, energy resolved states, can track mobility edges.