Fractional Quantum Hall Effect at ν=2+6/13: The Parton Paradigm for the Second Landau Level

Ajit Coimbatore Balram; Sutirtha Mukherjee; Kwon Park; Maissam Barkeshli; Mark Spencer Rudner; Jainendra Jain

doi:10.1103/physrevlett.121.186601

Fractional Quantum Hall Effect at ν=2+6/13: The Parton Paradigm for the Second Landau Level

Ajit Coimbatore Balram, Sutirtha Mukherjee, Kwon Park, Maissam Barkeshli, Mark Spencer Rudner, Jainendra Jain

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4 Citationer (Scopus)

Abstract

The unexpected appearance of a fractional quantum Hall effect (FQHE) plateau at ν=2+6/13 [A. Kumar et al., Phys. Rev. Lett. 105, 246808 (2010)PRLTAO0031-900710.1103/PhysRevLett.105.246808] offers a clue into the physical mechanism of the FQHE in the second Landau level (SLL). Here we propose a "3̄2̄111" parton wave function, which is topologically distinct from the 6/13 state in the lowest Landau level. We demonstrate the 3̄2̄111 state to be a good candidate for the ν=2+6/13 FQHE, and make predictions for experimentally measurable properties that can reveal the nature of this state. Furthermore, we propose that the "n̄2̄111" family of parton states naturally describes many observed SLL FQHE plateaus.

Originalsprog	Engelsk
Artikelnummer	186601
Tidsskrift	Physical Review Letters
Vol/bind	121
Udgave nummer	18
Antal sider	6
ISSN	0031-9007
DOI	https://doi.org/10.1103/physrevlett.121.186601
Status	Udgivet - 1 nov. 2018

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10.1103/physrevlett.121.186601

PhysRevLett.121.186601Forlagets udgivne version, 273 KB

https://arxiv.org/pdf/1807.02997.pdfLicens: Andet

Citationsformater

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AU - Coimbatore Balram, Ajit

AU - Mukherjee, Sutirtha

AU - Park, Kwon

AU - Barkeshli, Maissam

AU - Rudner, Mark Spencer

AU - Jain, Jainendra

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AB - The unexpected appearance of a fractional quantum Hall effect (FQHE) plateau at ν=2+6/13 [A. Kumar et al., Phys. Rev. Lett. 105, 246808 (2010)PRLTAO0031-900710.1103/PhysRevLett.105.246808] offers a clue into the physical mechanism of the FQHE in the second Landau level (SLL). Here we propose a "3̄2̄111" parton wave function, which is topologically distinct from the 6/13 state in the lowest Landau level. We demonstrate the 3̄2̄111 state to be a good candidate for the ν=2+6/13 FQHE, and make predictions for experimentally measurable properties that can reveal the nature of this state. Furthermore, we propose that the "n̄2̄111" family of parton states naturally describes many observed SLL FQHE plateaus.

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Fractional Quantum Hall Effect at ν=2+6/13: The Parton Paradigm for the Second Landau Level

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