  We characterize the phase diagram of anisotropic Heisenberg spin glasses,
finding both the spin and the chiral glass transition. We remark the presence
of strong finite-size effects on the chiral sector. We find a unique phase
transition for the chiral and spin glass sector, in the Universality class of
Ising spin glasses. We focus on keeping finite-size effects under control, and
we stress that they are important to understand experiments. Thanks to large
GPU clusters we have been able to thermalize cubic lattices with up to 64x64x64
spins, over a vast range of temperatures.
