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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| Veröffentlicht in: | Physical review. B 2018-06, Vol.97 (24), Article 245304 |
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| container_title | Physical review. B |
| container_volume | 97 |
| creator | 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. |
| description | 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. |
| doi_str_mv | 10.1103/PhysRevB.97.245304 |
| format | Article |
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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.</description><identifier>ISSN: 2469-9950</identifier><identifier>EISSN: 2469-9969</identifier><identifier>DOI: 10.1103/PhysRevB.97.245304</identifier><language>eng</language><publisher>College Park: American Physical Society</publisher><subject>Braiding ; Domain walls ; Quantum Hall effect ; Quantum theory ; Spin transition</subject><ispartof>Physical review. 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A reconfigurable network of fhDWs will allow manipulation and braiding of parafermionic excitations in multigate devices.</description><subject>Braiding</subject><subject>Domain walls</subject><subject>Quantum Hall effect</subject><subject>Quantum theory</subject><subject>Spin transition</subject><issn>2469-9950</issn><issn>2469-9969</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNpFkd1OwzAMhSsEEgh4Aa4iuO5w-rtcwsQAaRIIwXXkpi4NapstyRjjEXhqAuXnysf2Jx9ZJ4pOOEw4h_T8vt26B3q9nIhykmR5CtlOdJBkhYiFKMTun85hPzp27gUAeAGiBHEQfcyN7dFrMzDTsJY6rbBjtelRD2yDXedYEL4l1lhUX1xYr9Y4-HXPbsKeWXrWPTF0DJnztGTebNDWYY6dfv8_rZ_b2NiaLBvMEF9UwQoHRm9K-2_IHUV7DXaOjn_qYfQ0v3qc3cSLu-vb2cUiVhlPfFwUoIQqp4LyBnIUWFFV1MiTopyWUKW8pCarReiIeFpQo6CaVg2vIZ1iVYn0MDod7xrntXTBn1SrzDCQ8pJnGYckD9DZCC2tWa3Jefli1jY872TCk2CSlsADlYyUssY5S41cWt2j3UoO8isb-ZuNFKUcs0k_ASi6hdQ</recordid><startdate>20180607</startdate><enddate>20180607</enddate><creator>Wu, Tailung</creator><creator>Wan, Zhong</creator><creator>Kazakov, Aleksandr</creator><creator>Wang, Ying</creator><creator>Simion, George</creator><creator>Liang, Jingcheng</creator><creator>West, Kenneth W.</creator><creator>Baldwin, Kirk</creator><creator>Pfeiffer, Loren N.</creator><creator>Lyanda-Geller, Yuli</creator><creator>Rokhinson, Leonid P.</creator><general>American Physical Society</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>H8D</scope><scope>JG9</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>20180607</creationdate><title>Formation of helical domain walls in the fractional quantum Hall regime as a step toward realization of high-order non-Abelian excitations</title><author>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.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c412t-660c9c789e5f05a9abeb6da1267870b317ef4d9678ee136efc0b8bf1d038abb93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Braiding</topic><topic>Domain walls</topic><topic>Quantum Hall effect</topic><topic>Quantum theory</topic><topic>Spin transition</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wu, Tailung</creatorcontrib><creatorcontrib>Wan, Zhong</creatorcontrib><creatorcontrib>Kazakov, Aleksandr</creatorcontrib><creatorcontrib>Wang, Ying</creatorcontrib><creatorcontrib>Simion, George</creatorcontrib><creatorcontrib>Liang, Jingcheng</creatorcontrib><creatorcontrib>West, Kenneth W.</creatorcontrib><creatorcontrib>Baldwin, Kirk</creatorcontrib><creatorcontrib>Pfeiffer, Loren N.</creatorcontrib><creatorcontrib>Lyanda-Geller, Yuli</creatorcontrib><creatorcontrib>Rokhinson, Leonid P.</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>Physical review. B</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wu, Tailung</au><au>Wan, Zhong</au><au>Kazakov, Aleksandr</au><au>Wang, Ying</au><au>Simion, George</au><au>Liang, Jingcheng</au><au>West, Kenneth W.</au><au>Baldwin, Kirk</au><au>Pfeiffer, Loren N.</au><au>Lyanda-Geller, Yuli</au><au>Rokhinson, Leonid P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Formation of helical domain walls in the fractional quantum Hall regime as a step toward realization of high-order non-Abelian excitations</atitle><jtitle>Physical review. B</jtitle><date>2018-06-07</date><risdate>2018</risdate><volume>97</volume><issue>24</issue><artnum>245304</artnum><issn>2469-9950</issn><eissn>2469-9969</eissn><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.</abstract><cop>College Park</cop><pub>American Physical Society</pub><doi>10.1103/PhysRevB.97.245304</doi><oa>free_for_read</oa></addata></record> |
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| ispartof | Physical review. B, 2018-06, Vol.97 (24), Article 245304 |
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| language | eng |
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| source | American Physical Society Journals |
| subjects | Braiding Domain walls Quantum Hall effect Quantum theory Spin transition |
| title | Formation of helical domain walls in the fractional quantum Hall regime as a step toward realization of high-order non-Abelian excitations |
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