Parallel Magnetic Field Tuning of Valley Splitting in AlAs   Two-Dimensional Electrons
  We demonstrate that, in a quasi-two-dimensional electron system confined to an AlAs quantum well and occupying two conduction-band minima (valleys), a parallel magnetic field can couple to the electrons' orbital motion and tune the energies of the two valleys by different amounts. The measured density imbalance between the two valleys, which is a measure of the valley susceptibility with respect to parallel magnetic field, is enhanced compared to the predictions of non-interacting calculations, reflecting the role of electron-electron interaction. 
T. Gokmen, Medini Padmanabhan, O. Gunawan, Y.P. Shkolnikov, K. Vakili,   E.P. De Poortere, M. Shayegan