{ "id": "cond-mat/0406275", "version": "v2", "published": "2004-06-11T13:39:55.000Z", "updated": "2004-08-27T11:08:18.000Z", "title": "sin(2 phi) current-phase relation in SFS junctions with decoherence in the ferromagnet", "authors": [ "R. Mélin" ], "comment": "7 pages, 3 figures, article rewritten", "journal": "Europhys. Lett. 69, 121 (2005)", "doi": "10.1209/epl/i2004-10303-6", "categories": [ "cond-mat.mes-hall", "cond-mat.supr-con" ], "abstract": "We propose a theoretical description of the sin(2 phi) current-phase relation in SFS junctions at the 0-$\\pi$ cross-over obtained in recent experiments by Sellier et al. [Phys. Rev. Lett. 92, 257005 (2004)] where it was suggested that a strong decoherence in the magnetic alloy can explain the magnitude of the residual supercurrent at the 0-pi cross-over. To describe the interplay between decoherence and elastic scattering in the ferromagnet we use an analogy with crossed Andreev reflection in the presence of disorder. The supercurrent as a function of the length R of the ferromagnet decays exponentially over a length xi, larger than the elastic scattering length $l_d$ in the absence of decoherence, and smaller than the coherence length $l_\\phi$ in the absence of elastic scattering on impurities. The best fit leads to $\\xi \\simeq \\xi_h^{({\\rm diff})}/3$, where $\\xi_h^{({\\rm diff})}$ is exchange length of the diffusive system without decoherence (also equal to $\\xi$ in the absence of decoherence). The fit of experiments works well for the amplitude of both the sin(phi) and sin(2 phi) harmonics.", "revisions": [ { "version": "v2", "updated": "2004-08-27T11:08:18.000Z" } ], "analyses": { "keywords": [ "current-phase relation", "sfs junctions", "best fit", "coherence length", "crossed andreev reflection" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }