We consider the fractional quantum Hall effect at the filling factor $\ensuremath{\nu}=4/11$, where two independent experiments have observed a well-developed and quantized Hall plateau. We examine the Abelian state described by the `` $4\overline{2}{1}^{3}$ '' parton wave function and numerically demonstrate it to be a plausible candidate for the ground state at $\ensuremath{\nu}=4/11$. We work out the low-energy effective theory of the $4\overline{2}{1}^{3}$ edge and make predictions for experimentally measurable properties of the state.We consider the fractional quantum Hall effect at the filling factor $\ensuremath{\nu}=4/11$, where two independent experiments have observed a well-developed and quantized Hall plateau. We examine the Abelian state described by the ``$4\overline{2}{1}^{3}$'' parton wave function and numerically demonstrate it to be a plausible candidate for the ground state at $\ensuremath{\nu}=4/11$. We work out the low-energy effective theory of the $4\overline{2}{1}^{3}$ edge and make predictions for experimentally measurable properties of the state.

arXiv:2102.04414Physical review. B./Physical review. BApr 1, 202122 citations

A non-Abelian parton state for the $ν=2+3/8$ fractional quantum Hall effectA non-Abelian parton state for the $ν=2+3/8$ fractional quantum Hall effect

Ajit Coimbatore Balram

Fascinating structures have arisen from the study of the fractional quantum Hall effect (FQHE) at the even denominator fraction of 5/2 5 / 2 . We consider the FQHE at another even denominator fraction, namely \nu=2+3/8 ν = 2 + 3 / 8 , where a well-developed and quantized Hall plateau has been observed in experiments. We examine the non-Abelian state described by the `` \bar{3}\bar{2}^{2}1^{4} 3 ‾ 2 ‾ 2 1 4 " parton wave function and numerically demonstrate it to be a feasible candidate for the ground state at \nu=2+3/8 ν = 2 + 3 / 8 . We make predictions for experimentally measurable properties of the \bar{3}\bar{2}^{2}1^{4} 3 ‾ 2 ‾ 2 1 4 state that can reveal its underlying topological structure.Fascinating structures have arisen from the study of the fractional quantum Hall effect (FQHE) at the even denominator fraction of 5/2 5 / 2 . We consider the FQHE at another even denominator fraction, namely \nu=2+3/8 ν = 2 + 3 / 8 , where a well-developed and quantized Hall plateau has been observed in experiments. We examine the non-Abelian state described by the `` \bar{3}\bar{2}^{2}1^{4} 3 ‾ 2 ‾ 2 1 4 " parton wave function and numerically demonstrate it to be a feasible candidate for the ground state at \nu=2+3/8 ν = 2 + 3 / 8 . We make predictions for experimentally measurable properties of the \bar{3}\bar{2}^{2}1^{4} 3 ‾ 2 ‾ 2 1 4 state that can reveal its underlying topological structure.

arXiv:2010.08965SciPost PhysicsApr 15, 202132 citations

4\overline{2}{1}^{3}

'' parton wave function and numerically demonstrate it to be a plausible candidate for the ground state at $\ensuremath{\nu}=4/11$. We work out the low-energy effective theory of the

4\overline{2}{1}^{3}

edge and make predictions for experimentally measurable properties of the state.

A non-Abelian parton state for the

ν=2+3/8

fractional quantum Hall effect