Quantum Hall ferromagnetic states and spin-orbit interactions in the fractional regime

TL;DR

This paper investigates how spin-orbit interactions and Zeeman energy influence fractional quantum Hall states, predicting spin-polarization transitions and linking them to microscopic ground state properties, with implications for understanding complex quantum phases.

Contribution

It introduces a method to relate spin-polarization transitions to pair-correlation functions in fractional quantum Hall states, including effects of nuclear baths and specific wavefunctions.

Findings

Predicted spin-polarization transitions at specific Zeeman energies.

Linked transition points to pair-correlation functions.

Analyzed effects on Laughlin and 5/2-Pfaffian states.

Abstract

The competition between the Zeeman energy and the Rashba and Dresselhaus spin-orbit couplings is studied for fractional quantum Hall states by including correlation effects. A transition of the direction of the spin-polarization is predicted at specific values of the Zeeman energy. We show that these values can be expressed in terms of the pair-correlation function, and thus provide information about the microscopic ground state. We examine the particular examples of the Laughlin wavefunctions and the 5/2-Pfaffian state. We also include effects of the nuclear bath.