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 $\nu =1/2$ or $1/4$. Here, we directly probe the Fermi sea of the rarely studied four-flux CFs near $\nu =1/4$ 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 $\nu <1/4$ and $\nu >1/4$ are symmetric with respect to the position of $\nu =1/4$. 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 $\nu <1/4$ and $\nu >1/4$. This asymmetry, which is in stark contrast to the two-flux CFs, suggests that the four-flux CFs on the two sides of $\nu =1/4$ have very different effective masses, possibly because of the proximity of the Wigner crystal formation at small $\nu$.

arXiv comment7 pages, 4 figures, supplemental materials

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Cited by in corpus (11)

• Fractional quantum Hall effect in CVD-grown graphene
• Even-Denominator Fractional Quantum Hall State at Filling Factor ν = 3/4
• Composite-fermion pairing at half and quarter filled lowest Landau level
• Composite fermion pairing induced by Landau level mixing
• Fractional Quantum Hall State at Filling Factor $\nu =1/4$ in Ultra-High-Quality GaAs 2D Hole Systems
• Broken Symmetry in Ideal Chern Bands
• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
• Developing fractional quantum Hall states at even-denominator fillings 1/6 and 1/8
• The composite fermion theory revisited: a microscopic derivation without Landau level projection
• Collective excitations of quantum Hall states under tilted magnetic field
• Weiss Oscillations in the Galilean-Invariant Dirac Composite Fermion Theory for Even-Denominator Filling Fractions of the Lowest Landau Level