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

Condensed Matter Physics

4 Citations (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.

Original language	English
Article number	186601
Journal	Physical Review Letters
Volume	121
Issue number	18
Number of pages	6
ISSN	0031-9007
DOIs	https://doi.org/10.1103/physrevlett.121.186601
Publication status	Published - 1 Nov 2018

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Cite this

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

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 {"}{\=3}{\=2}111{"} parton wave function, which is topologically distinct from the 6/13 state in the lowest Landau level. We demonstrate the {\=3}{\=2}111 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 {"}{\=n}{\=2}111{"} family of parton states naturally describes many observed SLL FQHE plateaus.",

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AU - Park, Kwon

AU - Barkeshli, Maissam

AU - Rudner, Mark Spencer

AU - Jain, Jainendra

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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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