Quantum Anomalous Parity Hall Effect in Magnetically Disordered Topological Insulator Films

Abstract

In magnetically doped thin-film topological insulators, aligning the magnetic moments generates a quantum anomalous Hall phase supporting a single chiral edge state. We show that as the system de-magnetizes, disorder from randomly oriented magnetic moments can produce a `quantum anomalous parity Hall' phase with \emph{helical} edge modes protected by a unitary reflection symmetry. We further show that introducing superconductivity, combined with selective breaking of reflection symmetry by a gate, allows for creation and manipulation of Majorana zero modes via purely electrical means and at zero applied magnetic field.

Published version, 5 pages + Supplemental Material

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Cited by in corpus (12)

• Colloquium: Quantum anomalous Hall effect
• Floquet Majorana bound states in voltage-biased Planar Josephson Junctions
• Distinct quantum anomalous Hall ground states induced by magnetic disorders
• Weak quantization of non-interacting topological Anderson insulator
• Topological Phase Transitions Induced by Disorder in Magnetically Doped (Bi, Sb)${}_2$Te${}_3$ Thin Films
• Enhancement of temperature of quantum anomalous Hall effect in two-dimensional germanene/magnetic semiconductor heterostructures
• Topological properties of finite-size heterostructures of magnetic topological insulators and superconductors
• Disorder and quantum transport of the helical quantum Hall phase in graphene
• Localization by particle-hole symmetry breaking: a loop expansion
• Recent progress on disorder-induced topological phases
• An invariant measure of chiral quantum transport
• Correlated disorder induced anomalous transport in magnetically doped topological insulators