Abstract
We study a quantum particle coupled to hard-core bosons and propagating on disordered ladders with legs, ranging from (chains) to (planes). The particle dynamics is studied within the framework of rate equations for the boson-assisted transitions between the Anderson states. We demonstrate that for finite and sufficiently strong disorder the dynamics is nondiffusive, while two-dimensional planar systems with remain diffusive for arbitrarily strong disorder. The transition from diffusive to subdiffusive regimes may be identified via statistical fluctuations of resistivity. Close to the transition, the corresponding distribution function in the diffusive regime has fat tails which decrease much slower than , where is the system size. Finally, we present evidence that similar non-Gaussian fluctuations arise also in standard models of many-body localization.
- Received 1 March 2020
- Accepted 6 October 2020
DOI:https://doi.org/10.1103/PhysRevB.102.161111
©2020 American Physical Society