Spin-orbit coupling effect on quantum Hall ferromagnets with vanishing Zeeman energy

Abstract

We present the phase diagram of a ferromagnetic quantum Hall effect liquid in a narrow quantum well with vanishing single-particle Zeeman splitting, $ε_{\rm Z}$ and pronounced spin-orbit coupling. Upon decreasing $ε_{\rm Z}$, the spin-polarization field of a liquid takes, first, the easy-axis configuration, followed by the formation of a helical state, which affects the transport and NMR properties of a liquid and the form of topological defects in it. The analysis is extended over high odd integer filling factors.

This revised version takes into account easy-axis terms in the energy and offers a corrected phase diagram of the ferromagnetic QHE liquid. Analysis is extended over higher filling factors