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Possible Anderson transition below two dimensions in disordered systems of noninteracting electrons

Yoichi Asada, Keith Slevin, Tomi Ohtsuki

cond-mat.dis-nnarXiv:cond-mat/0508315

Abstract

We investigate the possibility of an Anderson transition below two dimensions in disordered systems of non-interacting electrons with symplectic symmetry. Numerical analysis of energy level statistics and conductance statistics on Sierpinski carpets with spin-orbit coupling indicates the occurrence of an Anderson transition below two dimensions.

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