  We study the chiral polarization properties of low-lying Dirac eigenmodes at
finite temperature using the overlap operator. Results for pure gauge theory on
both sides of deconfinement phase transition are presented. We find that the
polarization scale decreases as we increase the temperature, but it remains
non-zero as we cross in the deconfined phase and vanishes only when $T\approx
1.4 T_c$. This is caused by the presence of near-zero modes which, we find, are
chirally polarized.
