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Describing the critical behavior of the Anderson transition in infinite dimension by random-matrix ensembles: Logarithmic multifractality and critical localization
Power-law random banded matrix ensembles have proven effective in predicting critical properties at finite-dimensional Anderson transitions. Here, the authors extend the use of random matrices to infinite dimensions by introducing ensembles specifically designed to capture infinite-dimensional Anderson transitions. Using both analytical arguments and advanced numerical simulations, they uncover two unique …