Delocalized carriers in the t - J model with strong charge disorder

We show that electron-magnon interaction delocalizes the particle in a system with strong charge disorder. The analysis is based on results obtained for a single hole in the one-dimensional t - J model. Unless there exists a mechanism that localizes spin excitations, the charge carrier remains delocalized even for a very strong charge disorder and shows subdiffusive motion up to the longest accessible times. Moreover, upon inspection of the propagation times between neighboring sites as well as a careful finite-size scaling, we conjecture that the anomalous subdiffusive transport may be transient and should eventually evolve into a normal diffusive motion.