In this work we probe the QCD Anderson transition by studying spectral
distributions of the massless overlap operator on gauge configurations created
by the twisted mass at finite temperature collaboration (tmfT) with 2+1+1
flavors of dynamical quarks and the Iwasaki gauge action. We assess finite-size
and discretization effects by considering two different lattice spacings and
several physical volumes, and mimic the approach to the continuum limit through
stereographic projection. Fitting the inflection points of the participation
ratios of the overlap Dirac eigenmodes, we obtain estimates of the temperature
dependence of the mobility edge, below which quark modes are localized. We
observe that it is well-described by a quadradic polynomial and systematically
vanishes at temperatures below the pseudo-critical one of the chiral
transition. In fact, our best estimates within errors overlap with that of the
chiral phase transition temperature of QCD in the chiral limit.Comment: 13 pages, 16 figure