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arXiv · 0710.1921

Spin Order in Paired Quantum Hall States

Ivailo Dimov·Bertrand I. Halperin·Chetan Nayak
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Abstract

We consider quantum Hall states at even-denominator filling fractions, especially $ν=5/2$, in the limit of small Zeeman energy. Assuming that a paired quantum Hall state forms, we study spin ordering and its interplay with pairing. We give numerical evidence that at $ν= 5/2$ an incompressible ground state will exhibit spontaneous ferromagnetism. The Ginzburg-Landau theory for the spin degrees of freedom of paired Hall states is a perturbed CP$^2$ model. We compute the coefficients in the Ginzburg-Landau theory by a BCS-Stoner mean field theory for coexisting order parameters, and show that even if repulsion is smaller than that required for a Stoner instability, ferromagnetic fluctuations can induce a partially or fully polarized superconducting state.

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Ivailo Dimov, Bertrand I. Halperin, Chetan Nayak. 2007-10-10. Spin Order in Paired Quantum Hall States. https://doi.org/10.1103/physrevlett.100.126804

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