Numerical evidence of superuniversality of the two-dimensional and three-dimensional random quantum Potts models

The random q-state quantum Potts model is studied on hypercubic lattices in dimensions 2 and 3 using the numerical implementation of Strong Disorder Renormalization Group introduced by Kovacs Igl{\'o}i [Phys. Rev. B 82, 054437 (2010)]. Critical exponents $\nu$, d f $\psi$ at Infinite Fixed Point are estimated Finite-Size Scaling for several numbers states q between 50. When scaling corrections not taken into account, estimates both systematically increase with q. It shown however that q-dependent present compatible within error bars, or close to each other, when these taking account. This provides evidence existence a super-universality all 2D 3D models.