Variational study of the nu=1 quantum Hall ferromagnet in the presence of spin-orbit interaction

Abstract

We investigate the nu=1 quantum Hall ferromagnet in the presence of spin-orbit coupling of the Rashba or Dresselhaus type by means of Hartree-Fock-typed variational states. In the presence of Rashba (Dresselhaus) spin-orbit coupling the fully spin-polarized quantum Hall state is always unstable resulting in a reduction of the spin polarization if the product of the particle charge $q$ and the effective $g$-factor is positive (negative). In all other cases an alternative variational state with O(2) symmetry and finite in-plane spin components is lower in energy than the fully spin-polarized state for large enough spin-orbit interaction. The phase diagram resulting from these considerations differs qualitatively from earlier studies.

9 pages, 3 figures included, version to appear in Phys. Rev. B

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• Spin-orbit effects in GaAs quantum wells: Interplay between Rashba, Dresselhaus, and Zeeman interactions
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• Edge Spin Current and Spin Polarization in Quantum Hall Regime
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• Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas
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• Coherent spin dynamics in quantum wells in quantizing magnetic field
• Disorder effect of resonant spin Hall effect in a tilted magnetic field
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• Spin-Orbit Interaction Enhanced Fractional Quantum Hall States in the Second Landau Level
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• Oscillation of spin polarization in a two-dimensional hole gas under a perpendicular magnetic field
• Magnetotransport properties of an unconventional Rashba spin-orbit coupled two-dimensional electronic system
• Magnetotunnelling in resonant tunnelling structures with spin-orbit interaction
• Periodic Structures with Rashba Interaction in Magnetic Field
• Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor