{ "id": "0710.1921", "version": "v1", "published": "2007-10-10T04:11:06.000Z", "updated": "2007-10-10T04:11:06.000Z", "title": "Spin Order in Paired Quantum Hall States", "authors": [ "Ivailo Dimov", "Bertrand I. Halperin", "Chetan Nayak" ], "journal": "Phys. Rev. Lett. 100, 126804 (2008)", "doi": "10.1103/PhysRevLett.100.126804", "categories": [ "cond-mat.mes-hall" ], "abstract": "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. 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.", "revisions": [ { "version": "v1", "updated": "2007-10-10T04:11:06.000Z" } ], "analyses": { "subjects": [ "73.43.-f", "71.70.Ej", "72.25.Dc", "85.75.-d" ], "keywords": [ "spin order", "paired quantum hall state forms", "ginzburg-landau theory", "bcs-stoner mean field theory", "small zeeman energy" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2008, "month": "Mar", "volume": 100, "number": 12, "pages": 126804 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvL.100l6804D" } } }