Fractional Quantum Hall Effect at $\nu =2+6/13$ : The Parton Paradigm for the Second Landau Level
Abstract
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.
 Authors:

 Univ. of Copenhagen, Copenhagen (Denmark)
 Korea Institute for Advanced Study, Seoul (Korea)
 Univ. of Maryland, College Park, MD (United States)
 Pennsylvania State Univ., University Park, PA (United States)
 Publication Date:
 Research Org.:
 Pennsylvania State Univ., University Park, PA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 OSTI Identifier:
 1489111
 Alternate Identifier(s):
 OSTI ID: 1480372
 Grant/Contract Number:
 SC0005042
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 121; Journal Issue: 18; Journal ID: ISSN 00319007
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; fractional quantum Hall effect; composite fermions; partons
Citation Formats
Balram, Ajit C., Mukherjee, Sutirtha, Park, Kwon, Barkeshli, Maissam, Rudner, Mark S., and Jain, J. K. Fractional Quantum Hall Effect at ν=2+6/13 : The Parton Paradigm for the Second Landau Level. United States: N. p., 2018.
Web. doi:10.1103/PhysRevLett.121.186601.
Balram, Ajit C., Mukherjee, Sutirtha, Park, Kwon, Barkeshli, Maissam, Rudner, Mark S., & Jain, J. K. Fractional Quantum Hall Effect at ν=2+6/13 : The Parton Paradigm for the Second Landau Level. United States. doi:10.1103/PhysRevLett.121.186601.
Balram, Ajit C., Mukherjee, Sutirtha, Park, Kwon, Barkeshli, Maissam, Rudner, Mark S., and Jain, J. K. Thu .
"Fractional Quantum Hall Effect at ν=2+6/13 : The Parton Paradigm for the Second Landau Level". United States. doi:10.1103/PhysRevLett.121.186601. https://www.osti.gov/servlets/purl/1489111.
@article{osti_1489111,
title = {Fractional Quantum Hall Effect at ν=2+6/13 : The Parton Paradigm for the Second Landau Level},
author = {Balram, Ajit C. and Mukherjee, Sutirtha and Park, Kwon and Barkeshli, Maissam and Rudner, Mark S. and Jain, J. K.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.121.186601},
journal = {Physical Review Letters},
issn = {00319007},
number = 18,
volume = 121,
place = {United States},
year = {2018},
month = {11}
}
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