A non-Abelian fractional quantum Hall state at $3/7$ filled Landau level
Strongly Correlated Electrons
2020-08-19 v2
Abstract
We consider a non-Abelian candidate state at filling factor state belonging to the parton family. We find that, in the second Landau level of GaAs (i.e. at filling factor ), this state is energetically superior to the standard Jain composite-fermion state and also provides a very good representation of the ground state found in exact diagonalization studies of finite systems. This leads us to predict that \emph{if} a fractional quantum Hall effect is observed at in the second Landau level, it is likely to be described by this new non-Abelian state. We enumerate experimentally measurable properties that can verify the topological structure of this state.
Keywords
Cite
@article{arxiv.2006.00238,
title = {A non-Abelian fractional quantum Hall state at $3/7$ filled Landau level},
author = {W. N. Faugno and J. K. Jain and Ajit C. Balram},
journal= {arXiv preprint arXiv:2006.00238},
year = {2020}
}