Even-Denominator Fractional Quantum Hall State at Filling Factor ν = 3 / 4
Abstract
Fractional quantum Hall states (FQHSs) exemplify exotic phases of low-disorder two-dimensional (2D) electron systems when electron-electron interaction dominates over the thermal and kinetic energies. Particularly intriguing among the FQHSs are those observed at even-denominator Landau level filling factors, as their quasiparticles are generally believed to obey non-Abelian statistics and be of potential use in topological quantum computing. Such states, however, are very rare and fragile, and are typically observed in the excited Landau level of 2D electron systems with the lowest amount of disorder. Here we report the observation of a new and unexpected even-denominator FQHS at filling factor ν = 3/4 in a GaAs 2D hole system with an exceptionally high quality (mobility). Furthermore, our magnetotransport measurements reveal a strong minimum in the longitudinal resistance at ν = 3/4, accompanied by a developing Hall plateau centered at (h/e2)/(3/4). This even-denominator FQHS is very unusual as it is observed in the lowest Landau level and in a 2D hole system. While its origin is unclear, it is likely a non-Abelian state, emerging from the residual interaction between composite fermions.
- Authors:
-
[1];
[2];
[1]
- Princeton Univ., NJ (United States)
- Northern Illinois Univ., DeKalb, IL (United States)
- Publication Date:
- Research Org.:
- Princeton Univ., NJ (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); Gordon and Betty Moore Foundation’s EPiQS Initiative
- OSTI Identifier:
- 1891443
- Grant/Contract Number:
- FG02-00ER45841; MRSEC DMR 2011750; DMR 1644779; GBMF9615
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 129; Journal Issue: 15; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Fractional Quantum Hall Effect; Two-dimensional electron system
Citation Formats
Wang, Chengyu, Gupta, A., Singh, S. K., Chung, Y. J., Pfeiffer, L. N., West, K. W., Baldwin, K. W., Winkler, R., and Shayegan, M. Even-Denominator Fractional Quantum Hall State at Filling Factor ν=3/4. United States: N. p., 2022.
Web. doi:10.1103/physrevlett.129.156801.
Wang, Chengyu, Gupta, A., Singh, S. K., Chung, Y. J., Pfeiffer, L. N., West, K. W., Baldwin, K. W., Winkler, R., & Shayegan, M. Even-Denominator Fractional Quantum Hall State at Filling Factor ν=3/4. United States. https://doi.org/10.1103/physrevlett.129.156801
Wang, Chengyu, Gupta, A., Singh, S. K., Chung, Y. J., Pfeiffer, L. N., West, K. W., Baldwin, K. W., Winkler, R., and Shayegan, M. Thu .
"Even-Denominator Fractional Quantum Hall State at Filling Factor ν=3/4". United States. https://doi.org/10.1103/physrevlett.129.156801. https://www.osti.gov/servlets/purl/1891443.
@article{osti_1891443,
title = {Even-Denominator Fractional Quantum Hall State at Filling Factor ν=3/4},
author = {Wang, Chengyu and Gupta, A. and Singh, S. K. and Chung, Y. J. and Pfeiffer, L. N. and West, K. W. and Baldwin, K. W. and Winkler, R. and Shayegan, M.},
abstractNote = {Fractional quantum Hall states (FQHSs) exemplify exotic phases of low-disorder two-dimensional (2D) electron systems when electron-electron interaction dominates over the thermal and kinetic energies. Particularly intriguing among the FQHSs are those observed at even-denominator Landau level filling factors, as their quasiparticles are generally believed to obey non-Abelian statistics and be of potential use in topological quantum computing. Such states, however, are very rare and fragile, and are typically observed in the excited Landau level of 2D electron systems with the lowest amount of disorder. Here we report the observation of a new and unexpected even-denominator FQHS at filling factor ν = 3/4 in a GaAs 2D hole system with an exceptionally high quality (mobility). Furthermore, our magnetotransport measurements reveal a strong minimum in the longitudinal resistance at ν = 3/4, accompanied by a developing Hall plateau centered at (h/e2)/(3/4). This even-denominator FQHS is very unusual as it is observed in the lowest Landau level and in a 2D hole system. While its origin is unclear, it is likely a non-Abelian state, emerging from the residual interaction between composite fermions.},
doi = {10.1103/physrevlett.129.156801},
journal = {Physical Review Letters},
number = 15,
volume = 129,
place = {United States},
year = {Thu Oct 06 00:00:00 EDT 2022},
month = {Thu Oct 06 00:00:00 EDT 2022}
}
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