For uniform random graphs used as tight-binding lattices, the level spacing distribution switches from Wigner-Dyson to Poisson through semi-Poisson as the edge density decreases, claimed as a quantum phase transition.
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Quantum chaos, localization and phase transitions in random graphs
For uniform random graphs used as tight-binding lattices, the level spacing distribution switches from Wigner-Dyson to Poisson through semi-Poisson as the edge density decreases, claimed as a quantum phase transition.