Physical Review B · 2010 · 570 citations · 19 references
Natural SciencesPhysicsCondensed Matter PhysicsQuantum MechanicsSolid State PhysicsMagnetism In SolidsQuantum Hall PhysicsStates Of MatterSuperconducting MaterialsTopological MaterialsTopological Phases Of MatterChiral Topological StatesMajorana Zero ModesQuantum Anomalous Hall EffectQuantum Hall Plateau TransitionQuantum Hall PlateausSuperconducting GapTopological SuperconductorsTwo-dimensional Superconductors
A two‑dimensional chiral topological superconductor has a full bulk gap and a single chiral Majorana edge mode, with vortices hosting Majorana zero modes that enable non‑Abelian statistics, yet this state has not been observed experimentally. In this paper, we consider a quantum Hall or quantum anomalous Hall state near the plateau transition in proximity to a fully gapped s‑wave superconductor. By coupling such a quantum Hall system to an s‑wave superconductor, the hybrid can realize a chiral topological superconductor. We propose several experimental methods for observing this state.
The chiral topological superconductor in two dimensions has a full pairing gap in the bulk and a single chiral Majorana state at the edge. The vortex of the chiral superconducting state carries a Majorana zero mode which is responsible for the non-Abelian statistics of the vortices. Despite intensive searches, this superconducting state has not yet been identified in nature. In this paper, we consider a quantum Hall or a quantum anomalous Hall state near the plateau transition and in proximity to a fully gapped $s$-wave superconductor. We show that this hybrid system may realize the chiral topological superconductor state and propose several experimental methods for its observation.
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Non-Abelian anyons and topological quantum computation
Chetan Nayak, Steven H. Simon, Ady Stern et al. · Reviews of Modern Physics · 2008 · 6.9K citations · Full text
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
D. J. Thouless, Mahito Kohmoto, M. P. Nightingale et al. · Physical Review Letters · 1982 · 6.9K citations · Full text