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arXiv · 1708.00152

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

Yoshiki Ueoka·Keith Slevin
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Abstract

We describe a Borel-Pad\'e 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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Yoshiki Ueoka, Keith Slevin. 2017-08-01. Borel-Pad\'e re-summation of the $\beta$-functions describing Anderson localisation in the Wigner-Dyson symmetry classes. https://doi.org/10.7566/jpsj.86.094707

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