Multifractal finite-size scaling at the Anderson transition in the unitary symmetry class

We use multifractal finite-size scaling to perform a high-precision numerical study of the critical properties of the Anderson localization-delocalization transition in the unitary symmetry class, considering the Anderson model including a random magnetic flux. We demonstrate the scale invariance of the distribution of wave-function intensities at the critical point and study its behavior across the transition. Our analysis, involving more than 4 x 10(6) independently generated wave functions of system sizes up to L-3 = 150(3), yields accurate estimates for the critical exponent of the localization length, upsilon = 1.446(1.440,1.452), the critical value of the disorder strength, and the multifractal exponents.