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

Balram, Ajit C.; Mukherjee, Sutirtha; Park, Kwon; Barkeshli, Maissam; Rudner, Mark S.; Jain, J. K.

doi:10.1103/PhysRevLett.121.186601

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

Journal Article · Thu Nov 01 00:00:00 EDT 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.121.186601· OSTI ID:1489111

Balram, Ajit C. ^[1]; Mukherjee, Sutirtha ^[2]; Park, Kwon ^[2]; Barkeshli, Maissam ^[3]; Rudner, Mark S. ^[4]; Jain, J. K. ^[5]

Univ. of Copenhagen, Copenhagen (Denmark); Penn State University
Korea Institute for Advanced Study, Seoul (Korea)
Univ. of Maryland, College Park, MD (United States)
Univ. of Copenhagen, Copenhagen (Denmark)
Pennsylvania State Univ., University Park, PA (United States)

Here, the unexpected appearance of a fractional quantum Hall effect (FQHE) plateau at ν = 2 + 6/13 offers a clue into the physical mechanism of the FQHE in the second Landau level (SLL). Here we propose a “ $$\bar{3}$$ $$\bar{2}$$111” parton wave function, which is topologically distinct from the 6/13 state in the lowest Landau level. We demonstrate the $$\bar{3}$$ $$\bar{2}$$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$$\bar{2}$$111” family of parton states naturally describes many observed SLL FQHE plateaus.

View Accepted Manuscript (DOE)

Research Organization:: Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0005042

OSTI ID:: 1489111

Alternate ID(s):: OSTI ID: 1480372

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 121; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (2)

Parton construction of particle-hole-conjugate Read-Rezayi parafermion fractional quantum Hall states and beyond Balram, Ajit C.; Barkeshli, Maissam; Rudner, Mark S. Physical Review B, Vol. 99, Issue 24 https://doi.org/10.1103/physrevb.99.241108	journal	June 2019
Parton construction of particle-hole-conjugate Read-Rezayi parafermion fractional quantum Hall states and beyond Balram, Ajit C.; Barkeshli, Maissam; Rudner, Mark S. arXiv https://doi.org/10.48550/arxiv.1902.04173	text	January 2019

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