Geometric resonance of four-flux composite fermions
Abstract
Two-dimensional interacting electrons exposed to strong perpendicular magnetic fields generate emergent, exotic quasiparticles phenomenologically distinct from electrons. Specifically, electrons bind with an even number of flux quanta, and transform into composite fermions (CFs). Besides providing an intuitive explanation for the fractional quantum Hall states, CFs also possess Fermi-liquid-like properties, including a well-defined Fermi sea, at and near even-denominator Landau-level filling factors such as $ν = 1/2$ or $1/4$. Here, we directly probe the Fermi sea of the rarely studied four-flux CFs near $ν = 1/4$ via geometric resonance experiments. The data reveal some unique characteristics. Unlike in the case of two-flux CFs, the magnetic field positions of the geometric resonance resistance minima for $ν < 1/4$ and $ν > 1/4$ are symmetric with respect to the position of $ν = 1/4$. However, when an in-plane magnetic field is applied, the minima positions become asymmetric, implying a mysterious asymmetry in the CF Fermi sea anisotropy for $ν < 1/4$ and $ν > 1/4$. This asymmetry, which is in stark contrast to the two-flux CFs, suggests that the four-flux CFs on the two sides of $ν = 1/4$ have very different effective masses, possibly because of the proximity of the Wigner crystal formation at small $$ν$$.
- Authors:
-
[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)
- OSTI Identifier:
- 1609339
- Alternate Identifier(s):
- OSTI ID: 1546433
- Grant/Contract Number:
- FG02-00ER45841; FG02-00-ER45841
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 4; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Ballistic transport; Composite fermions; Fractional quantum Hall effect; Landau levels
Citation Formats
Hossain, Md. Shafayat, Ma, Meng K., Mueed, M. A., Kamburov, D., Pfeiffer, L. N., West, K. W., Baldwin, K. W., Winkler, R., and Shayegan, M. Geometric resonance of four-flux composite fermions. United States: N. p., 2019.
Web. doi:10.1103/physrevb.100.041112.
Hossain, Md. Shafayat, Ma, Meng K., Mueed, M. A., Kamburov, D., Pfeiffer, L. N., West, K. W., Baldwin, K. W., Winkler, R., & Shayegan, M. Geometric resonance of four-flux composite fermions. United States. https://doi.org/10.1103/physrevb.100.041112
Hossain, Md. Shafayat, Ma, Meng K., Mueed, M. A., Kamburov, D., Pfeiffer, L. N., West, K. W., Baldwin, K. W., Winkler, R., and Shayegan, M. Wed .
"Geometric resonance of four-flux composite fermions". United States. https://doi.org/10.1103/physrevb.100.041112. https://www.osti.gov/servlets/purl/1609339.
@article{osti_1609339,
title = {Geometric resonance of four-flux composite fermions},
author = {Hossain, Md. Shafayat and Ma, Meng K. and Mueed, M. A. and Kamburov, D. and Pfeiffer, L. N. and West, K. W. and Baldwin, K. W. and Winkler, R. and Shayegan, M.},
abstractNote = {Two-dimensional interacting electrons exposed to strong perpendicular magnetic fields generate emergent, exotic quasiparticles phenomenologically distinct from electrons. Specifically, electrons bind with an even number of flux quanta, and transform into composite fermions (CFs). Besides providing an intuitive explanation for the fractional quantum Hall states, CFs also possess Fermi-liquid-like properties, including a well-defined Fermi sea, at and near even-denominator Landau-level filling factors such as $ν = 1/2$ or $1/4$. Here, we directly probe the Fermi sea of the rarely studied four-flux CFs near $ν = 1/4$ via geometric resonance experiments. The data reveal some unique characteristics. Unlike in the case of two-flux CFs, the magnetic field positions of the geometric resonance resistance minima for $ν < 1/4$ and $ν > 1/4$ are symmetric with respect to the position of $ν = 1/4$. However, when an in-plane magnetic field is applied, the minima positions become asymmetric, implying a mysterious asymmetry in the CF Fermi sea anisotropy for $ν < 1/4$ and $ν > 1/4$. This asymmetry, which is in stark contrast to the two-flux CFs, suggests that the four-flux CFs on the two sides of $ν = 1/4$ have very different effective masses, possibly because of the proximity of the Wigner crystal formation at small $ν$.},
doi = {10.1103/physrevb.100.041112},
journal = {Physical Review B},
number = 4,
volume = 100,
place = {United States},
year = {2019},
month = {7}
}
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Figures / Tables:
FIG. 1: GR features for 4CFs near ν = 1/4. (a) Lateral surface superlattice of period a, inducing a periodic density perturbation in the 2DES. When the 4CFs’ cyclotron orbit becomes commensurate with the period of the perturbation, the i = 1 GR occurs. (b) Magneto-resistance trace revealing GR featuresmore »
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Works referencing / citing this record:
Identification of topological order in the fractional quantum Hall state at
journal, November 2019
- Ma, Ken K. W.
- Physical Review B, Vol. 100, Issue 20
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