  Recently we found an Anderson-type localization-delocalization transition in
the QCD Dirac spectrum at high temperature. Using spectral statistics we
obtained a critical exponent compatible with that of the corresponding Anderson
model. Here we study the spatial structure of the eigenmodes both in the
localized and the transition region. Based on previous studies in the Anderson
model, at the critical point, the eigenmodes are expected to have a scale
invariant multifractal structure. We verify the scale invariance of Dirac
eigenmodes at the critical point.
