Parton wave function for the fractional quantum Hall effect at $\nu =6/17$

Abstract

We consider the fractional quantum Hall effect at the filling $\nu =6/17$, where experiments have observed features of incompressibility in the form of a minimum in the longitudinal resistance. We propose a parton state denoted as "$3\bar{2}{1}^3$" and show it to be a feasible candidate to capture the ground state at $\nu =6/17$. We work out the low-energy effective theory of the $3\bar{2}{1}^3$ edge and make several predictions for experimentally measurable properties of the state which can help detect its underlying topological order. Intriguingly, we find that the $3\bar{2}{1}^3$ state likely lies in the same universality class as the state obtained from composite-fermionizing the 1+1/5 Laughlin state.

7 pages, 2 figures, published version

References in corpus (10)

• Fractional Quantum Hall Effect at Landau Level Filling nu=4/11
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Cited by in corpus (17)

• Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene
• Even-Denominator Fractional Quantum Hall State at Filling Factor ν = 3/4
• Real-space entanglement spectra of parton states in fractional quantum Hall systems
• Nature of the anomalous $4/13$ fractional quantum Hall effect in graphene
• Prediction of non-Abelian fractional quantum Hall effect at $\nu =2+\frac{4}{11}$
• Fractional quantum Hall effect of partons and the nature of the 8/17 state in the zeroth Landau level of bilayer graphene
• Conformal field theory approach to parton fractional quantum Hall trial wave functions
• Unlocking new regimes in fractional quantum Hall effect with quaternions
• Parametrization and thermodynamic scaling of pair correlation functions for the Fractional Quantum Hall Effect
• From frustration-free parent Hamiltonians to off-diagonal long-range order: Moore-Read and related states in second quantization
• Very high-energy collective states of partons in fractional quantum Hall liquids
• Numerical demonstration of Abelian fractional statistics of composite fermions in the spherical geometry
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
• Linking infinite bond-dimension matrix product states with frustration-free Hamiltonians
• Composite fermions and parton wavefunctions in twisted graphene on hexagonal boron nitride
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations