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

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Scientific paper

10.1103/PhysRevLett.101.146803

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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