Formation of helical domain walls in the fractional quantum Hall regime as a step toward realization of high-order non-Abelian excitations

We propose an experimentally feasible platform to realize parafermions (high-order non-Abelian excitations) based on spin transitions in the fractional quantum Hall effect regime. As a proof of concept we demonstrate a local control of the spin transition at a filling factor 2/3 and formation of a c...

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Bibliographic Details
Published in:Physical review. B 2018-06, Vol.97 (24), Article 245304
Main Authors: Wu, Tailung, Wan, Zhong, Kazakov, Aleksandr, Wang, Ying, Simion, George, Liang, Jingcheng, West, Kenneth W., Baldwin, Kirk, Pfeiffer, Loren N., Lyanda-Geller, Yuli, Rokhinson, Leonid P.
Format: Article
Language:English
Subjects:
Braiding
Domain walls
Quantum Hall effect
Quantum theory
Spin transition
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Summary:We propose an experimentally feasible platform to realize parafermions (high-order non-Abelian excitations) based on spin transitions in the fractional quantum Hall effect regime. As a proof of concept we demonstrate a local control of the spin transition at a filling factor 2/3 and formation of a conducting fractional helical domain wall (fhDW) along a gate boundary. Coupled to an s-wave superconductor these fhDWs are expected to support parafermionic excitations. We present exact diagonalization numerical studies of fhDWs and show that they indeed possess electronic and magnetic structures needed for the formation of parafermions. A reconfigurable network of fhDWs will allow manipulation and braiding of parafermionic excitations in multigate devices.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.97.245304