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