  We consider the U(1) charged sector of ABJM theory at finite temperature,
which corresponds to the Reissner-Nordstrom AdS black hole in the dual type IIA
supergravity description. Including back-reaction to the bulk geometry, we show
that phase transitions occur to a broken phase where SU(4) R-symmetry of the
field theory is broken spontaneously by the condensation of dimension one or
two operators. We show both numerically and analytically that the relevant
critical exponents for the dimension one operator agree precisely with those of
mean field theory in the strongly coupled regime of the large N planar limit.
