Critical Exponent of the Localization Length for the Symplectic Case

Abstract

A new summability method was tested to calculate the critical exponent $\nu$ of the localization length for the symplectic case derived from the non-linear $\sigma$-model. Although we used the same series as Hikami and others, unlike them we were able to resum the series in two-dimensions (2D) and obtain the result $\nu \sim 1$. Values of $\nu$ in $2+\epsilon$ dimensions seem to saturate the Harris inequality up to $\epsilon =0.2$.

9 pp, plain latex + 2 ps figures uuencoded, only format changed in accordance to the `new order'

References in corpus (2)

• Relation between Energy Level Statistics and Phase Transition and its Application to the Anderson Model
• Critical level spacing distribution of two-dimensional disordered systems with spin-orbit coupling

Cited by in corpus (1)

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