Structure-dynamics relationship in coherent transport through disordered systems
Stefano Mostarda, Federico Levi, Diego Prada-Gracia, Florian Mintert,, Francesco Rao

TL;DR
This paper uses complex network analysis to explore how structural features of disordered systems influence quantum transport efficiency, revealing motifs that enhance robustness and efficiency.
Contribution
It introduces a novel network-based approach to relate structure and dynamics in quantum transport, identifying structural motifs linked to high efficiency and robustness.
Findings
Structural classes with similar high efficiency identified
Pair site motifs contribute to transport robustness
Transport properties are resilient to perturbations
Abstract
Quantum transport is strongly influenced by interference with phase relations that depend sensitively on the scattering medium. Since even small changes in the geometry of the medium can turn constructive interference to destructive, a clear relation between structure and fast, efficient transport is difficult to identify. Here we present a complex network analysis of quantum transport through disordered systems to elucidate the relationship between transport efficiency and structural organization. Evidence is provided for the emergence of structural classes with different geometries but similar high efficiency. Specifically, a structural motif characterised by pair sites which are not actively participating to the dynamics renders transport properties robust against perturbations. Our results pave the way for a systematic rationalization of the design principles behind highly efficient…
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