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In multivalley systems, the valley pseudospin offers rich physics going fromencoding of information by its polarization (valleytronics), to exploring novelphases of matter when its degeneracy is changed. Here, by strain engineering,we reveal fully valley-polarized quantum Hall (QH) phases in the Pb1-xSnxSeDirac system. Remarkably, when the valley energy splitting exceeds thefundamental band gap, we observe a bipolar QH phase, heralded by thecoexistence of hole and electron chiral edge states at distinct valleys in thesame quantum well. This suggests that spatially overlaid counter-propagatingchiral edge states emerging at different valleys do not interfere with eachother.

Valley-Polarized quantum Hall phase in a strain-controlled Dirac system