Spin phase diagram of the nu_e=4/11 composite fermion liquid

TL;DR

This paper investigates the spin polarization behavior of the nu_e=4/11 fractional quantum Hall state using exact diagonalization, revealing a phase diagram and predicting transitions between polarized and unpolarized states under realistic conditions.

Contribution

It provides the first detailed spin phase diagram for the nu_e=4/11 state considering realistic GaAs parameters, highlighting possible spin transitions.

Findings

Predicted transition between polarized and unpolarized states.

Determined spin phase diagram for different GaAs structures.

Identified correlation differences in spin states.

Abstract

Spin polarization of the "second generation" nu_e=4/11 fractional quantum Hall state (corresponding to an incompressible liquid in a one-third-filled composite fermion Landau level) is studied by exact diagonalization. Spin phase diagram is determined for GaAs structures of different width and electron concentration. Transition between the polarized and partially unpolarized states with distinct composite fermion correlations is predicted for realistic parameters.