Mesoscopic transport in electrostatically-defined spin-full channels in quantum Hall ferromagnets

Aleksandr Kazakov, George Simion, Yuli Lyanda-Geller, Valery Kolkovsky, Zbigniew Adamus, Grzegorz Karczewski, Tomasz Wojtowicz, Leonid P. Rokhinson

Published 2017-02-10Version 1

Development of a two-dimensional systems with reconfigurable one-dimensional topological superconductor channels became primary direction in experimental branch of Majorana physics. Such system would allow to probe non-Abelian properties of Majorana quasiparticles and realize the ultimate goal of Majorana research - topological qubit for topologically protected quantum computations. Here we propose and develop a new platform to support and manipulate non-Abelian excitations which is based on ferromagnetic transitions in a quantum Hall effect regime. Electrostatic control of ferromagnetic transition at $\nu=2$ in high mobility 2D gases in CdMnTe allows formation of domain walls along gate boundary, and we show that short ($<4\ \mu$m) channels are conducting at low temperatures. We show that channels resistance is invariant under field inversion, unlike chiral channels formed between different QHE states. Coupled to a s-wave superconductor these channels should support Majorana excitations.