Abstract

We identify a duality transformation in one-dimensional hopping models that relatespropagators in general disordered potentials linked by an up–down inversion of the energylandscape. This significantly generalizes previous results on a duality between trapand barrier models. We use the resulting insights into the symmetries of thesemodels to develop a real-space renormalization scheme that can be implementedcomputationally and allows rather accurate prediction of propagation in these models.We also discuss the relation of this renormalization scheme to earlier analyticaltreatments.

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