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Critical Exponent of the Localization Length for the Symplectic Case

Alexander Moroz
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Abstract

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 $\varepsilon=0.2$.

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Alexander Moroz. 1996-02-09. Critical Exponent of the Localization Length for the Symplectic Case. https://doi.org/10.1088/0305-4470%2F29%2F2%2F008

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