Enhanced quantum transport in multiplex networks. (English) Zbl 1334.82055
Summary: Quantum transport through disordered structures is inhibited by localized eigenstates of the Hamiltonian associated with the network. We show how to overcome localization by network multiplexing. Here, multiple layers of random networks with the same number of nodes are stacked in such a way that in the perpendicular directions regular one-dimensional networks are formed. Depending on the ratio of the coupling within the layer and perpendicular to it, transport gets either enhanced or diminished. In particular, if the couplings are of the same order, transport gets enhanced and localization effects can be overcome. We exemplify our results by multiplexes of random networks, where the disorder is topological.
MSC:
| 82C70 | Transport processes in time-dependent statistical mechanics |
| 05C80 | Random graphs (graph-theoretic aspects) |
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