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.

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• On-and-off chip cooling of a Coulomb blockade thermometer down to 2.8 mK
• Method for Cooling Nanostructures to Microkelvin Temperatures
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Many-body corrections to ESR energy and spin-wave excitations in two-dimensional systems with Bychkov-Rashba spin splitting
• Spin-Orbit Interaction Enhanced Fractional Quantum Hall States in the Second Landau Level
• Tuning the effects of Landau-level mixing on anisotropic transport in quantum Hall systems
• Cotunneling in the ν= 5/2 fractional quantum Hall regime
• Competing quantum Hall phases in the second Landau level in low density limit