What Determines the Fermi Wave Vector of Composite Fermions?

Abstract

Composite fermions (CFs), exotic particles formed by pairing an even number of flux quanta to each electron, provide a fascinating description of phenomena exhibited by interacting two-dimensional electrons at high magnetic fields. At and near Landau level filling $\nu =1/2$, CFs occupy a Fermi sea and exhibit commensurability effects when subjected to a periodic potential modulation. We observe a pronounced asymmetry in the magnetic field positions of the commensurability resistance minima of CFs with respect to the field at $\nu =1/2$. This unexpected asymmetry is quantitatively consistent with the CFs' Fermi wave vector being determined by the \textit{minority} carriers in the lowest Landau level. Our data indicate a breaking of the particle-hole symmetry for CFs near $\nu =1/2$.

4 pages, 4 figures

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• More Realistic Hamiltonians for the Fractional Quantum Hall Regime in GaAs and Graphene
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Cited by in corpus (42)

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• Particle-hole symmetry and composite fermions in fractional quantum Hall states
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• Transference of Fermi Contour Anisotropy to Composite Fermions
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• Geometric Resonance of Composite Fermions near Bilayer Quantum Hall States
• Direct observation of composite fermions and their fully spin-polarized Fermi sea near $\nu =5/2$
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• Density functional theory of the fractional quantum Hall effect
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