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

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.

References in corpus (4)

• Non-Abelian Anyons and Topological Quantum Computation
• Fractional quantum Hall effect at $\nu =5/2$: Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
• Cubic Dresselhaus Spin-Orbit Coupling in 2D Electron Quantum Dots
• Coherent spin dynamics in quantum wells in quantizing magnetic field