{ "id": "cond-mat/0109266", "version": "v2", "published": "2001-09-14T11:40:30.000Z", "updated": "2001-09-19T09:54:57.000Z", "title": "Ferromagnetism and Transport in the Double-Exchange Model, with and without Phonons; Application to the Manganites", "authors": [ "D. M. Edwards", "A. C. M. Green" ], "comment": "26 pages, 14 figures", "categories": [ "cond-mat.str-el", "cond-mat.mtrl-sci" ], "abstract": "An introduction is given to the many-body coherent potential approximation (CPA) for the double-exchange (DE) model and the Holstein-DE model, the latter including coupling of the electrons to local phonons as well as to local spins. It is shown how the method can treat the local spins and phonons quantum-mechanically and how it is equivalent to dynamical mean field theory in the classical limit. In the Holstein-DE model a full discussion is given of the cross-over from weak electron-phonon coupling through intermediate coupling, where small-polaron bands begin to appear, to strong coupling where some results similar to those of standard small-polaron theory are recovered. The theory is applied to ferromagnetic manganites with a full discussion of magnetic, transport and spectroscopic data. It is found that many manganites are in the critical regime on the verge of small-polaron formation, which explains their sensitivity to parameters such as applied magnetic field and pressure.", "revisions": [ { "version": "v2", "updated": "2001-09-19T09:54:57.000Z" } ], "analyses": { "keywords": [ "double-exchange model", "manganites", "holstein-de model", "application", "many-body coherent potential approximation" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001cond.mat..9266E" } } }