Quasi-one-dimensional Quantum Anomalous Hall Systems as New Platforms for Scalable Topological Quantum Computation

Abstract

Quantum anomalous Hall insulator/superconductor heterostructures emerged as a competitive platform to realize topological superconductors with chiral Majorana edge states as shown in recent experiments [He et al. Science {\bf 357}, 294 (2017)]. However, chiral Majorana modes, being extended, cannot be used for topological quantum computation. In this work, we show that quasi-one-dimensional quantum anomalous Hall structures exhibit a large topological regime (much larger than the two-dimensional case) which supports localized Majorana zero energy modes. The non-Abelian properties of a cross-shaped quantum anomalous Hall junction is shown explicitly by time-dependent calculations. We believe that networks of such quasi-one-dimensional quantum anomalous Hall systems can be easily fabricated for scalable topological quantum computation.

4+ pages, 4 figures. Comments are welcome

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Cited by in corpus (37)

• Colloquium: Quantum anomalous Hall effect
• Majorana corner states in a two-dimensional magnetic topological insulator on a high-temperature superconductor
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Non-Abelian braiding of Dirac fermionic modes using topological corner states in higher-order topological insulator
• Quantum anomalous Hall effect in two-dimensional magnetic insulator heterojunctions
• Confinement-Induced Chiral Edge Channel Interaction in Quantum Anomalous Hall Insulators
• Induced superconducting correlations in the quantum anomalous Hall insulator
• Double-frequency Aharonov-Bohm effect and non-Abelian braiding properties of Jackiw-Rebbi zero-mode
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Platform of chiral Majorana edge modes and its quantum transport phenomena
• Bulk dissipation in the quantum anomalous Hall effect
• Crossed Andreev reflection in spin-polarized chiral edge states due to the Meissner effect
• Electrically tunable chiral Majorana edge modes in quantum anomalous Hall insulator-topological superconductor systems
• Vortex Lattice Structure and Topological Superconductivity in the Quantum Hall Regime
• Configuration-Sensitive Transport on Domain Walls of a Magnetic Topological Insulator
• Engineering topological states and quantum-inspired information processing using classical circuits
• Strongly enlarged topological regime and enhanced superconducting gap in nanowires coupled to Ising superconductors
• Flux-induced Topological Superconductor in Planar Josephson Junction
• Proximity-induced quasi-one-dimensional superconducting quantum anomalous Hall state: a promising scalable top-down approach towards localized Majorana modes
• Anomalous $h/2e$ periodicity and Majorana zero modes in chiral Josephson junctions
• Controllable Majorana fermions on domain walls of a magnetic topological insulator
• Low-energy modeling of three-dimensional topological insulator nanostructures
• Robust Majorana bound states in magnetic topological insulator nanoribbons with fragile chiral edge channels
• Inducing superconductivity in quantum anomalous Hall regime
• Chern insulator in a ferromagnetic two-dimensional electron system with Dresselhaus spin-orbit coupling
• Topological properties of finite-size heterostructures of magnetic topological insulators and superconductors
• Edge-state influence on high-order harmonic generation in topological nanoribbons
• Superconducting triangular islands as a platform for manipulating Majorana zero modes
• Conductance asymmetry in proximitized magnetic topological insulator junctions with Majorana modes
• Revisiting magnetic exchange interactions in transition metal doped Bi${}_2$Se${}_3$ using DFT+MFT
• Disordered Quantum Transport in Quantum Anomalous Hall Insulator-Superconductor Junctions
• Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
• The electronic structure of intrinsic magnetic topological insulator MnBi2Te4 quantum wires
• Majorana Braiding Racetracks from Charge Chern Insulator - Superconductor Hybrids
• Electrostatic gating and the interference of chiral Majoranas in thin slabs of magnetic topological insulators
• Controlling the magneto-transport properties of magnetic topological insulator thin films from Cr${}_x$(Bi${}_y$Sb${}_{1-y}$)${}_{2-x}$Te${}_3$ via molecular beam epitaxy
• Magnetic orbital motion and 0.5$e^2/h$ conductance of quantum-anomalous-Hall hybrid strips