High temperature quark localization by Polyakov loops
  We study the low eigenmodes of the overlap and staggered Dirac operator at high temperature. We show that the recently found localized quark modes obeying Poisson statistics are connected to physical gauge field objects with their size and density scaling in the continuum limit. The localized modes are also strongly correlated with large fluctuations of the Polyakov loop. Based on that we construct a random matrix model of the low Dirac modes inspired by dimensional reduction. Our model reproduces the Poisson to random matrix transition seen in the lattice Dirac spectrum. 
Tamas G. Kovacs, Ferenc Pittler, Falk Bruckmann and Sebastian   Schierenberg
hep-lat cond-mat.dis-nn hep-th