Anomalous Gap Reversal of the $3+1/3$ and $3+1/5$ Fractional Quantum Hall States

Abstract

In this work we report the opening of an energy gap at the filling factor $\nu =3+1/3$, firmly establishing the ground state as a fractional quantum Hall state. This and other odd-denominator states unexpectedly break particle-hole symmetry. Specifically, we find that the relative magnitudes of the energy gaps of the $\nu =3+1/3$ and $3+1/5$ states from the upper spin branch are reversed when compared to the $\nu =2+1/3$ and $2+1/5$ counterpart states in the lower spin branch. Our findings raise the possibility that the former states have a non-conventional origin.

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Cited by in corpus (18)

• Odd- and even-denominator fractional quantum Hall states in monolayer WSe${}_2$
• Abelian and Non-Abelian States in $\nu =2/3$ Bilayer Fractional Quantum Hall Systems
• Fractional Quantum Hall Effect at $\nu =2+4/9$
• Electron-Electron Interactions and the Paired-to-Nematic Quantum Phase Transition in the Second Landau Level
• A non-Abelian fractional quantum Hall state at $3/7$ filled Landau level
• Cooling low-dimensional electron systems into the microkelvin regime
• Finite Temperature Behavior in the Second Landau Level of the Two-dimensional Electron Gas
• Unconventional Reentrant Quantum Hall Effect in a HgTe/CdHgTe Double Quantum Well
• Shape of the magnetoroton at $\nu =1/3$ and $\nu =7/3$ in real samples
• Complete spin phase diagram of the fractional quantum Hall liquid
• Gapped Excitations of unconventional FQHE states in the Second Landau Level
• Particle-Hole Symmetry and the Reentrant Integer Quantum Hall Wigner Solid
• Disorder broadening of even denominator fractional quantum Hall states in the presence of a short-range alloy potential
• Morphing of 2D Hole Systems at $\nu =3/2$ in Parallel Magnetic Fields: Compressible, Stripe, and Fractional Quantum Hall Phases
• Breakdown of local convertibility through Majorana modes in a quantum quench
• Cascade of fractional quantum Hall states in 2D system
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations
• Topological correlations and breaking of fermionic antisymmetry of electrons in FQHE