Spin Order in Paired Quantum Hall States
Mesoscale and Nanoscale Physics
2010-09-16 v1
Abstract
We consider quantum Hall states at even-denominator filling fractions, especially , 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 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 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.
Cite
@article{arxiv.0710.1921,
title = {Spin Order in Paired Quantum Hall States},
author = {Ivailo Dimov and Bertrand I. Halperin and Chetan Nayak},
journal= {arXiv preprint arXiv:0710.1921},
year = {2010}
}