Fractional Quantum Hall Effect with Unconventional Pairing in Monolayer Graphene

Sharma, Anirban; Pu, Songyang; Balram, Ajit C.; Jain, J. K.

doi:10.1103/physrevlett.130.126201

Fractional Quantum Hall Effect with Unconventional Pairing in Monolayer Graphene

Journal Article · Tue Mar 21 00:00:00 EDT 2023 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.130.126201· OSTI ID:2419673

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Pennsylvania State Univ., University Park, PA (United States); OSTI
Pennsylvania State Univ., University Park, PA (United States); University of Leeds (United Kingdom)
Institute of Mathematical Sciences, Chennai (India); Homi Bhabha National Institute, Mumbai (India)
Pennsylvania State Univ., University Park, PA (United States)

Motivated by the observation of even denominator fractional quantum Hall effect in the n = 3 Landau level of monolayer graphene [Kim et al., Nat. Phys. 15, 154 (2019)], we consider a Bardeen-Cooper-Schrieffer variational state for composite fermions and find that the composite-fermion Fermi sea in this Landau level is unstable to an f-wave pairing. Analogous calculation suggests the possibility of a p-wave pairing of composite fermions at half filling in the n = 2 graphene Landau level, whereas no pairing instability is found at half filling in the n = 0 and n = 1 graphene Landau levels. The relevance of these results to experiments is discussed.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: EPSRC; National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0005042

OSTI ID:: 2419673

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 12 Vol. 130; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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