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

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

2002-09-07

arxiv.org/abs/cond-mat/0209185v2

Phys. Rev. B 67, 085302 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevB.67.085302

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.

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