Critical exponent of the localization length for the symplectic case

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, , Citation Alexander Moroz 1996 J. Phys. A: Math. Gen. 29 289 DOI 10.1088/0305-4470/29/2/008

0305-4470/29/2/289

Abstract

A new summability method was tested to calculate the critical exponent of the localization length for the symplectic case derived from the nonlinear -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 . Values of in dimensions seem to saturate the Harris inequality up to .

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10.1088/0305-4470/29/2/008