  Nearest-neighbor Heisenberg antiferromagnet on a face-centered cubic lattice
is studied by extensive Monte Carlo simulations in zero magnetic field. The
parallel tempering algorithm is utilized, which allows to overcome a slow
relaxation of the magnetic order parameter and fully equilibrate moderate size
clusters with up to N ~ 7*10^3 spins. By collecting energy and order parameter
histograms on clusters with up to N ~ 2*10^4 sites we accurately locate the
first-order transition point at T_c=0.4459(1)J.
