Suppression of the g-factor in quantum Hall multilayer systems with spin-orbit interaction

The integer quantum Hall effect realizes unique topological phases in two dimensional electronic systems. Understanding the interplay of magnetic fields, crystal symmetry, and spin-orbit interaction is essential to the understanding of transport in quantum Hall systems. We study 2DEGs (two dimensional electron) gases, considering single layer and many-layer configurations. We find that inversion symmetry, coupled with Rashba spin-orbit interaction can suppress electronic g-factors leading to unusual Hall transport in these systems. We provide analytical solutions to the bilayer case, and numerically solve for N layers, showing the robustness of the suppression of g-factors. Breaking inversion symmetry restores the ordinary integer quantum Hall plateaus. We show that the many-layer case can be mapped to an SSH-like model. We discuss material realizations of our predicted transport signatures and other consequence of inversion symmetry on the quantum Hall effect.