$\zeta$-Pade SRWS theory with lowest order approximation
Abstract
In my previous paper about SRWS- theory[Y.Ueoka,viXra:2205.014,2022], I proposed an approximation of rough averaged summation of typical critical Green function for the Anderson transition in the Orthogonal class. In this paper, I remove a rough approximate summation for the series of the typical critical Green function by replacing summation with integral. Pade approximant is used to take a summation. The perturbation series of the critical exponent of localization length from upper critical dimension is obtained. The dimensional dependence of the critical exponent is again directly related with Riemann function. Degree of freedom about lower critical exponent improve estimate compared with previous studies. When I fix lower critical dimension equal to two, I obtained similar estimate of the critical exponent compared with fitting curve estimate of the critical exponent[E.Tarquini et al.,PhysRevB.95(2017)094204]. 1
Keywords
Cite
@article{arxiv.2210.01773,
title = {$\zeta$-Pade SRWS theory with lowest order approximation},
author = {Yoshiki Ueoka},
journal= {arXiv preprint arXiv:2210.01773},
year = {2022}
}
Comments
8pages, 2figures