  A non-local Nambu-Jona-Lasinio model can be derived from QCD in the
low-energy limit. In this way, it is possible to fix all the free parameters of
the model with physical ones. We used this approach to derive a local limit to
the Nambu-Jona-Lasinio model, with the parameters those obtained from QCD, in
order to fix the physical parameters of $\rho$ condensation and obtain the
critical magnetic field. $\rho$ condensation is a consequence of the highly
non-trivial behavior of the QCD vacuum in presence of a very strong magnetic
field giving rising to superconductive behavior in quark matter. We extend
previous computations by including finite temperature terms.
