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 deloc...

We investigate the local density of states of the one-dimensional half-filled spinless fermion model with nearest-neighbour hopping t > 0 and interaction V in its Luttinger liquid phase -2t < V ≤ 2t. The bulk density of states and the local density of states in open chains are calculated over the full band width ∼4t with an energy resolution ≤0.08t using the dynamical density-matrix renormaliza...

Single electron tunneling through a single impurity level is used to probe the fluctuations of the local density of states in the emitter. The energy dependence of quasiparticle relaxation in the emitter can be extracted from the damping of the fluctuations of the local density of states (LDOS). At larger magnetic fields Zeeman splitting is observed.