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

Yoichi Asada, Keith Slevin, Tomi Ohtsuki

Published 2005-08-12, updated 2006-01-12Version 4

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.