Numerical evidence of a universal critical behavior of two-dimensional and three-dimensional random quantum clock and Potts models

The random quantum $q$-state clock and Potts models are studied in 2 3 dimensions. existence of Griffiths phases is tested the 2D case with $q=6$ by sampling integrated probability distribution local susceptibilities equivalent McCoy-Wu 3D classical modelswith Monte Carlo simulations. No phase found for model. In contrast, numerical evidences model given Finite Size effects analyzed. critical point then Strong-Disorder Renormalization Group. Despite a chaotic behavior Renormalization-Group flow at weak disorder, that this governed same Infinite-Disorder Fixed Point as model, independently from number states $q$.