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We investigate the metal-insulator transition occurring in two-dimensional(2D) systems of noninteracting atoms in the presence of artificial spin-orbitinteractions and a spatially correlated disorder generated by laser speckles.Based on a high order discretization scheme, we calculate the precise positionof the mobility edge and verify that the transition belongs to the symplecticuniversality class. We show that the mobility edge depends strongly on themixing angle between Rashba and Dresselhaus spin-orbit couplings. For equalcouplings a non-power-law divergence is found, signaling the crossing to theorthogonal class, where such a 2D transition is forbidden.

Anderson transition of cold atoms with synthetic spin-orbit coupling in two-dimensional speckle potentials