Parton wave function for the fractional quantum Hall effect atν=6/17,Physical Review Research

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Parton wave function for the fractional quantum Hall effect atν=6/17
Physical Review Research ( IF 3.5 ) Pub Date : 2021-07-23 , DOI: 10.1103/physrevresearch.3.033087
Ajit C. Balram ₁ , A. Wójs ₂

Affiliation

We consider the fractional quantum Hall effect at the filling

ν = 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

ν = 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