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The quantum Hall effect is studied in the topological insulator BiSbTeSe$_2$.By employing top- and back-gate electric fields at high magnetic field, theLandau levels of the Dirac cones in the top and bottom topological surfacestates can be tuned independently. When one surface is tuned to theelectron-doped side of the Dirac cone and the other surface to the hole-dopedside, the quantum Hall edge channels are counter-propagating. The opposite edgemode direction, combined with the opposite helicities of top and bottomsurfaces, allows for scattering between these counter-propagating edge modes.The total Hall conductance is integer valued only when the scattering isstrong. For weaker interaction, a non-integer quantum Hall effect is expectedand measured.

Interaction between counter-propagating quantum Hall edge channels in the 3D topological insulator BiSbTeSe$_2$