Next-generation even-denominator fractional quantum Hall states of interacting composite fermions

Wang, Chengyu; Gupta, Adbhut; Madathil, Pranav T.; Singh, Siddharth K.; Chung, Yoon Jang; Pfeiffer, Loren N.; Baldwin, Kirk W.; Shayegan, Mansour

doi:10.1073/pnas.2314212120

Next-generation even-denominator fractional quantum Hall states of interacting composite fermions

Journal Article · Mon Dec 18 23:00:00 EST 2023 · Proceedings of the National Academy of Sciences of the United States of America

DOI:https://doi.org/10.1073/pnas.2314212120· OSTI ID:2246673

Wang, Chengyu ^[1]; Gupta, Adbhut ^[1]; Madathil, Pranav T. ^[1]; Singh, Siddharth K. ^[1]; ^[1]; Pfeiffer, Loren N. ^[1]; Baldwin, Kirk W. ^[1]; ^[1]

Department of Electrical and Computer Engineering, Princeton University, Princeton, NJ 08544

The discovery of the fractional quantum Hall state (FQHS) in 1982 ushered a new era of research in many-body condensed matter physics. Among the numerous FQHSs, those observed at even-denominator Landau level filling factors are of particular interest as they may host quasiparticles obeying non-Abelian statistics and be of potential use in topological quantum computing. The even-denominator FQHSs, however, are scarce and have been observed predominantly in low-disorder two-dimensional (2D) systems when an excited electron Landau level is half filled. An example is the well-studied FQHS at filling factor $ν =$ 5/2 which is believed to be a Bardeen-Cooper-Schrieffer-type, paired state of flux-particle composite fermions (CFs). Here, we report the observation of even-denominator FQHSs at $ν =$ 3/10, 3/8, and 3/4 in the lowest Landau level of an ultrahigh-quality GaAs 2D hole system, evinced by deep minima in longitudinal resistance and developing quantized Hall plateaus. Quite remarkably, these states can be interpreted as even-denominator FQHSs of CFs, emerging from pairing of higher-order CFs when a CF Landau level, rather than an electron or a hole Landau level, is half-filled. Our results affirm enhanced interaction between CFs in a hole system with significant Landau level mixing and, more generally, the pairing of CFs as a valid mechanism for even-denominator FQHSs, and suggest the realization of FQHSs with non-Abelian anyons.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-00ER45841

OSTI ID:: 2246673

Alternate ID(s):: OSTI ID: 2472146

Journal Information:: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Issue: 52 Vol. 120; ISSN 0027-8424

Publisher:: Proceedings of the National Academy of SciencesCopyright Statement

Country of Publication:: United States

Language:: English

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