Physics – Condensed Matter
Scientific paper
1995-07-17
J.Phys.A29:289-294,1996
Physics
Condensed Matter
9 pp, plain latex + 2 ps figures uuencoded, only format changed in accordance to the `new order'
Scientific paper
10.1088/0305-4470/29/2/008
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 $2+\varepsilon$ dimensions seem to saturate the Harris inequality up to $\varepsilon=0.2$.
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