Development of parafermion-supporting platform based on fractional quantum Hall spin transitions (Conference Presentation)

Leonid Rokhinson; Tailung Wu; Zhong Wan; Aleksandr Kazakov; Ying Wang; George Simion; Jingcheng Liang; Ken West; Kirk Baldwin; Loren N. Pfeiffer; Yuli Lyanda-Geller

doi:10.1117/12.2531364

10 September 2019 Development of parafermion-supporting platform based on fractional quantum Hall spin transitions (Conference Presentation)

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

Author Affiliations +

Proceedings Volume 11090, Spintronics XII; 110903Q (2019) https://doi.org/10.1117/12.2531364
Event: SPIE Nanoscience + Engineering, 2019, San Diego, California, United States

Abstract

I will introduce a new platform based on spin transitions in the fractional quantum Hall effect regime where parafermions - higher order non-abelian excitations - can be realized. Local (gate) control of spin transition allows formation of isolated domain walls, which consist of counter-propagating edge states of opposite polarization with fractional charge excitations. When superconductivity is induced into such a domain wall from superconducting contacts via proximity effect, parafermions are expected to be formed at the domain wall boundaries. In a multi-gate device a re-configurable network of domain walls can be formed allowing creation, braiding, manipulation and fusion of parafermions. In respect to the quantum computing application parafermons are more computationally intense than Majoranas and are a building block for Fibonacci fermions, even high order non-Abelian particles that can perform universal gate operations within the topologically protected subspace.

Conference Presentation

Citation Download Citation

Leonid Rokhinson, Tailung Wu, Zhong Wan, Aleksandr Kazakov, Ying Wang, George Simion, Jingcheng Liang, Ken West, Kirk Baldwin, Loren N. Pfeiffer, and Yuli Lyanda-Geller "Development of parafermion-supporting platform based on fractional quantum Hall spin transitions (Conference Presentation)", Proc. SPIE 11090, Spintronics XII, 110903Q (10 September 2019); https://doi.org/10.1117/12.2531364

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