Energy Gap of the Even-Denominator Fractional Quantum Hall State in Bilayer Graphene

Assouline, Alexandre; Wang, Taige; Zhou, Haoxin; Cohen, Liam A.; Yang, Fangyuan; Zhang, Ruining; Taniguchi, Takashi; Watanabe, Kenji; Mong, Roger S. K.; Zaletel, Michael P.; Young, Andrea F.

doi:10.1103/physrevlett.132.046603

Energy Gap of the Even-Denominator Fractional Quantum Hall State in Bilayer Graphene

Journal Article · Fri Jan 26 00:00:00 EST 2024 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.132.046603· OSTI ID:2473039

^[1]; Wang, Taige ^[2]; ^[1]; ^[1]; Yang, Fangyuan ^[1]; Zhang, Ruining ^[1]; Taniguchi, Takashi ^[3]; ^[3]; Mong, Roger S. K. ^[4]; Zaletel, Michael P. ^[2]; ^[1]

Univ. of California, Santa Barbara, CA (United States)
University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
National Institute for Materials Science (NIMS), Tsukuba (Japan)
Univ. of Pittsburgh, PA (United States)

Bernal bilayer graphene hosts even-denominator fractional quantum Hall states thought to be described by a Pfaffian wave function with non-Abelian quasiparticle excitations. Here, in this study, we report the quantitative determination of fractional quantum Hall energy gaps in bilayer graphene using both thermally activated transport and by direct measurement of the chemical potential. We find a transport activation gap of 5.1 K at B = 12 T for a half filled N = 1 Landau level, consistent with density matrix renormalization group calculations for the Pfaffian state. However, the measured thermodynamic gap of 11.6 K is smaller than theoretical expectations for the clean limit by approximately a factor of 2. We analyze the chemical potential data near fractional filling within a simplified model of a Wigner crystal of fractional quasiparticles with long-wavelength disorder, explaining this discrepancy. Our results quantitatively establish bilayer graphene as a robust platform for probing the non-Abelian anyons expected to arise as the elementary excitations of the even-denominator state.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: Gordon and Betty Moore Foundation (GBMF); Japan Society for the Promotion of Science (JSPS); Ministry of Education, Culture, Sports, Science and Technology (MEXT); National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR); USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2473039

Alternate ID(s):: OSTI ID: 2474541

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 4 Vol. 132; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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