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We investigate low-lying fermion modes in SU(2) gauge theory at temperaturesabove the phase transition. Both staggered and overlap spectra revealtransitions from chaotic (random matrix) to integrable (Poissonian) behavioraccompanied by an increasing localization of the eigenmodes. We show that thelatter are trapped by local Polyakov loop fluctuations. Islands of such "wrong"Polyakov loops can therefore be viewed as defects leading to Andersonlocalization in gauge theories. We find strong similarities in the spatialprofile of these localized staggered and overlap eigenmodes. We discusspossible interpretations of this finding and present a sparse random matrixmodel that reproduces these features.

Anderson localization through Polyakov loops: lattice evidence and Random matrix model