Condensed Matter

    

Zeta-Pad'e SRWS Theory with Lowest Order Approximation

Authors: Yoshiki Ueoka

In my previous preprint about SRWS-zeta theory[Y.Ueoka,viXra:2205.014,2022],I proposed an approximation of rough averaged summation of typical critical Greenfunction for the Anderson transition in the Orthogonal class. In this paper, I removea rough approximate summation for the series of the typical critical Greenfunction by replacing summation with integral. Pade approximant is used to takea summation. The perturbation series of the critical exponent nu of localizationlength from upper critical dimension is obtained. The dimensional dependence ofthe critical exponent is again directly related with Riemann zeta function. Degree offreedom about lower critical exponent improve estimate compared with previousstudies. When I fix lower critical dimension equal to two, I obtained similar estimateof the critical exponent compared with fitting curve estimate of the criticalexponent[E.Tarquini et al.,PhysRevB.95(2017)094204].

Comments: 8 Pages. Correction of formulas and introduction of more reasonable calculation methods

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Submission history

[v1] 2022-09-06 22:19:10
[v2] 2022-09-09 23:52:37
[v3] 2022-10-15 01:59:55

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