Authors: Yoshiki Ueoka
I propose a method to study the Anderson transition in the orthogonal symmetryclass. This method employs a virtual lattice characterised by an arbitraryspectral dimension instead of a concrete lattice with a given integer or fractal dimension.This method makes it possible to simulate numerically infinite size systemon a computer. Moreover, the computational complexity does not increaseexponentially as the dimensionality increases. Thus, we can avoid the curse ofdimensionality. Also, we can estimate the critical exponent numerically withoutresorting to the finite size scaling method often used in previous numerical studiesof critical phenomena.
Comments: 17 Pages. High dimensional approximation used in previous version becomes not necessary.
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[v1] 2022-05-28 01:36:18
[v2] 2022-09-01 17:18:22
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