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Nonergodic Phases in Strongly Disordered Random Regular Graphs

Nonergodic Phases in Strongly Disordered Random Regular Graphs

We combine numerical diagonalization with a semi-analytical calculations to prove the existence of the intermediate non-ergodic but delocalized phase in the Anderson model on disordered hierarchical lattices. We suggest a new generalized population dynamics that is able to detect the violation of ergodicity of the delocalized states within the Abou-Chakra, …