Abstract
We show that in a donor-doped multivalley semiconductor or multivalley semimetals, at very high magnetic fields, there exists a critical temperature below which a new triplet superconducting phase must arise. This phase is a mirror image of the spin-up, spin-down Cooper-pair condensation where the spins are replaced by the indices of the valleys. Because the magnetic field does not couple to the indices this transition is strongly enhanced in the presence of a magnetic field.