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

Tailung Wu, Zhong Wan, Aleksandr Kazakov, Ying Wang, George Simion, Jingcheng Liang, Kenneth W. West, Kirk Baldwin, Loren N. Pfeiffer, Yuli Lyanda-Geller, and Leonid P. Rokhinson

Phys. Rev. B 97, 245304 – Published 7 June 2018

Abstract

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.

Received 28 September 2017
Revised 22 February 2018

DOI:https://doi.org/10.1103/PhysRevB.97.245304

Physics Subject Headings (PhySH)

Anyons Fractional quantum Hall effect Topological quantum computing

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Tailung Wu^1,2, Zhong Wan¹, Aleksandr Kazakov¹, Ying Wang¹, George Simion¹, Jingcheng Liang¹, Kenneth W. West³, Kirk Baldwin³, Loren N. Pfeiffer³, Yuli Lyanda-Geller^1,2, and Leonid P. Rokhinson^1,2,4,*

¹Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA
²Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana 47907, USA
³Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08540, USA
⁴Department of Electrical and Computer Engineering, Purdue University, West Lafayette, Indiana 47907, USA

^*Corresponding author: leonid@purdue.edu

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Vol. 97, Iss. 24 — 15 June 2018

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