Borel-Padé re-summation of the $\beta$-functions describing Anderson localisation in the Wigner-Dyson symmetry classes

Abstract

We describe a Borel-Padé re-summation of the $\beta$-function in the three Wigner-Dyson symmetry classes. Using this approximate $\beta$-function we discuss the dimensional dependence of the critical exponent and compare with numerical estimates. We also estimate the lower critical dimension of the symplectic symmetry class.

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Cited by in corpus (3)

• Drawing Phase Diagrams of Random Quantum Systems by Deep Learning the Wave Functions
• Numerical Investigation of Localization in Two-Dimensional Quasiperiodic Mosaic Lattice
• Critical behavior of Anderson transitions in higher dimensional Bogoliubov-de Gennes symmetry classes