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2007

Spin Order in Paired Quantum Hall States

Dimov, Ivailo, Halperin, Bertrand I., Nayak, Chetan

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We consider quantum Hall states at even-denominator filling fractions, especially $\nu=5/2$, 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 $\nu = 5/2$ 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.

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