Theory of non-Abelian Fabry-Perot interferometry in topological insulators

Abstract

Interferometry of non-Abelian edge excitations is a useful tool in topological quantum computing. In this paper we present a theory of a non-Abelian edge state interferometer in a 3D topological insulator brought in proximity to an s-wave superconductor. The non-Abelian edge excitations in this system have the same statistics as in the previously studied 5/2 fractional quantum Hall (FQH) effect and chiral p-wave superconductors. There are however crucial differences between the setup we consider and these systems, like the need for a converter between charged and neutral excitations and the neutrality of the non-Abelian excitations. These differences manifest themselves in a temperature scaling exponent of -7/4 for the conductance instead of -3/2 as in the 5/2 FQH effect.

12 pages, 5 figures

References in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
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• Probing Neutral Majorana Fermion Edge Modes with Charge Transport
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• The non-Abelian Interferometer
• Exact Solution for Bulk-Edge Coupling in the Non-Abelian $\nu =5/2$ Quantum Hall Interferometer
• Bulk-edge coupling in the non-abelian $\nu =5/2$ quantum Hall interferometer
• Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments
• Odd-Even Crossover in a non-Abelian $\nu =5/2$ Interferometer

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• Topological Quantum Computation Based on Chiral Majorana Fermions
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• Topological quantum buses: coherent quantum information transfer between topological and conventional qubits
• Full electrical control of Charge and Spin conductance through Interferometry of Edge States in Topological Insulators
• Deterministic creation and braiding of chiral edge vortices
• Electrical probes of the non-Abelian spin liquid in Kitaev materials
• Robust Transport Signatures of Topological Superconductivity in Topological Insulator Nanowires
• Tunnel junction of helical edge states: Determining and controlling spin-preserving and spin-flipping processes through transconductance
• Improved phase gate reliability in systems with neutral Ising anyons
• Tunneling between Two Helical Superconductors via Majorana Edge Channels
• Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor
• Thermal anyon interferometry in phonon-coupled Kitaev spin liquids
• Probing Majorana edge states with a flux qubit
• Fabry-Pérot resonant vortices and magnetoconductance in topological insulator constrictions with magnetic barriers
• Effects of disorder on electron tunneling through helical edge states
• Thermal interferometry of anyons
• Edge-Induced Qubit Polarization in Systems with Ising Anyons
• Full counting statistics of Majorana interferometers
• Non-Abelian anyon statistics through AC conductance of a Majorana interferometer