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We examine the validity of the recently proposed semi-Poisson level spacingdistribution function P(S), which characterizes `critical quantum chaos', in 2Ddisordered systems with spin-orbit coupling. At the Anderson transition we showthat the semi-Poisson P(S) can describe closely the critical distributionobtained with averaged boundary conditions, over Dirichlet in one directionwith periodic in the other and Dirichlet in both directions. We also obtain asub-Poisson linear number variance $\Sigma_{2}(E)\approx \chi_{0}+ \chi E$,with asymptotic value $\chi\approx0.07$. The obtained critical statistics,intermediate between Wigner and Poisson, is relevant for disordered systems andchaotic models.Comment: 4 pages with 5 figure

Critical quantum chaos in 2D disordered systems with spin-orbit coupling