Graph-energy centrality applied to Fock-space graphs captures weak ergodicity-breaking transitions in quantum many-body systems and scales to hundreds of sites or the thermodynamic limit.
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Anderson localisation on spatially structured random graphs shows a transition shifting to stronger disorder with increasing hopping range, vanishing beyond a critical range with direct delocalised-localised transition and Kosterlitz-Thouless-like scaling, without an intervening multifractal phase.
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Graph-theory measures capture weak ergodicity breaking on large quantum systems
Graph-energy centrality applied to Fock-space graphs captures weak ergodicity-breaking transitions in quantum many-body systems and scales to hundreds of sites or the thermodynamic limit.
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Anderson localisation in spatially structured random graphs
Anderson localisation on spatially structured random graphs shows a transition shifting to stronger disorder with increasing hopping range, vanishing beyond a critical range with direct delocalised-localised transition and Kosterlitz-Thouless-like scaling, without an intervening multifractal phase.