Abstract
The typical value of the local density of states ρ typ , known as a candidate of the order parameter of the Anderson transition, of two-dimensional disordered electron systems with spin–orbit interactions is studied for assessing the validity of ρ typ as the order parameter. We show that ρ typ behaves critically as ρ typ ∝( E c - E ) β with β=0.466±0.095 near the transition point. It is also found that the exponent β satisfies the scaling relation with the Lipschitz–Holder exponent α 0 . Furthermore, we demonstrate that fluctuations in ρ typ at the Anderson transition obey the generalized Gumbel distribution, which is expected to be the universal distribution function of critical fluctuations of order parameters. These results suggest that ρ typ is a suitable quantity of the order parameter of the Anderson transition.
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