Critical Exponent of the Localization Length for the Symplectic Case
Abstract
Description
A new summability method was tested to calculate the critical exponent $ν$ of the localization length for the symplectic case derived from the non-linear $σ$-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 $ν\sim 1$. Values of $ν$ in $2+\varepsilon$ dimensions seem to saturate the Harris inequality up to $\varepsilon=0.2$.
9 pp, plain latex + 2 ps figures uuencoded, only format changed in accordance to the `new order'
9 pp, plain latex + 2 ps figures uuencoded, only format changed in accordance to the `new order'