Parafermion supporting platform based on spin transitions in the fractional quantum Hall effect regime

Abstract

We propose an experimentally-feasible system based on spin transitions in the fractional quantum Hall effect regime where parafermions, high-order non-abelian excitations, can be potentially realized. We provide a proof-of-concept experiments showing that in specially designed heterostructures spin transitions at a filling factor 2/3 can be induced electrostatically, allowing local control of polarization and on-demand formation of helical domain walls with fractionalized charge excitations, a pre-requisite ingredient for parafermions formation. We also present exact diagonalization numerical studies of domain walls formed between domains with different spin polarization in the fractional quantum Hall effect regime and show that they indeed possess electronic and magnetic structure needed for parafermion formation when coupled to an s-wave superconductor.

11 pages, p figures

References in corpus (5)

• Non-Abelian Anyons and Topological Quantum Computation
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Exotic non-Abelian anyons from conventional fractional quantum Hall states
• Observation of neutral modes in the fractional quantum Hall regime
• Microscopic Study of Edge Excitations of Spin-Polarized and Spin-Unpolarized $\nu =2/3$ Fractional Quantum Hall Effect

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• Current correlations of Cooper-pair tunneling into a quantum Hall system
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• Insulating regime of an underdamped current-biased Josephson junction supporting ${\mathbb{Z}}_3$ and ${\mathbb{Z}}_4$ parafermions
• Investigation of InAs based devices for topological applications
• Charge and spin textures of Ising quantum Hall ferromagnet domain walls
• Phase diagram of an extended parafermion chain