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Title: 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 crystalmore » formation at small $ν$.« less

Authors:
ORCiD logo [1];  [1];  [1];  [1];  [1];  [1];  [1];  [2];  [1]
  1. Princeton Univ., NJ (United States)
  2. 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. 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., & 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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    Works referencing / citing this record:

    Identification of topological order in the fractional quantum Hall state at ν = 1 / 4
    journal, November 2019