Next-generation even-denominator fractional quantum Hall states of interacting composite fermions
Abstract
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 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 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.
- Authors:
-
[1];
[1]
- Department of Electrical and Computer Engineering, Princeton University, Princeton, NJ 08544
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 2246673
- Grant/Contract Number:
- DEFG02-00-ER45841
- Resource Type:
- Published Article
- Journal Name:
- Proceedings of the National Academy of Sciences of the United States of America
- Additional Journal Information:
- Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 120 Journal Issue: 52; Journal ID: ISSN 0027-8424
- Publisher:
- Proceedings of the National Academy of Sciences
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Wang, Chengyu, Gupta, Adbhut, Madathil, Pranav T., Singh, Siddharth K., Chung, Yoon Jang, Pfeiffer, Loren N., Baldwin, Kirk W., and Shayegan, Mansour. Next-generation even-denominator fractional quantum Hall states of interacting composite fermions. United States: N. p., 2023.
Web. doi:10.1073/pnas.2314212120.
Wang, Chengyu, Gupta, Adbhut, Madathil, Pranav T., Singh, Siddharth K., Chung, Yoon Jang, Pfeiffer, Loren N., Baldwin, Kirk W., & Shayegan, Mansour. Next-generation even-denominator fractional quantum Hall states of interacting composite fermions. United States. https://doi.org/10.1073/pnas.2314212120
Wang, Chengyu, Gupta, Adbhut, Madathil, Pranav T., Singh, Siddharth K., Chung, Yoon Jang, Pfeiffer, Loren N., Baldwin, Kirk W., and Shayegan, Mansour. Tue .
"Next-generation even-denominator fractional quantum Hall states of interacting composite fermions". United States. https://doi.org/10.1073/pnas.2314212120.
@article{osti_2246673,
title = {Next-generation even-denominator fractional quantum Hall states of interacting composite fermions},
author = {Wang, Chengyu and Gupta, Adbhut and Madathil, Pranav T. and Singh, Siddharth K. and Chung, Yoon Jang and Pfeiffer, Loren N. and Baldwin, Kirk W. and Shayegan, Mansour},
abstractNote = {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.},
doi = {10.1073/pnas.2314212120},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 52,
volume = 120,
place = {United States},
year = {Tue Dec 19 00:00:00 EST 2023},
month = {Tue Dec 19 00:00:00 EST 2023}
}
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