{ "id": "1308.6714", "version": "v1", "published": "2013-08-30T11:37:12.000Z", "updated": "2013-08-30T11:37:12.000Z", "title": "Energy dissipation of moved magnetic vortices", "authors": [ "Martin P. Magiera" ], "comment": "6 pages, 6 figures", "journal": "Europhys. Lett. 103, 57004 (2013)", "doi": "10.1209/0295-5075/103/57004", "categories": [ "cond-mat.mes-hall" ], "abstract": "A two-dimensional easy-plane ferromagnetic substrate, interacting with a dipolar tip which is magnetised perpendicular with respect to the easy plane is studied numerically by solving the Landau-Lifshitz Gilbert equation. The dipolar tip stabilises a vortex structure which is dragged through the system and dissipates energy. An analytical expression for the friction force in the v$\\rightarrow$0-limit based on the Thiele equation is presented. The limitations of this result which predicts a diverging friction force in the thermodynamic limit, are demonstrated by a study of the size dependence of the friction force. While for small system sizes the dissipation depends logarithmically on the system size, it saturates at a specific velocity dependent value. This size can be regarded as an effective vortex size and it is shown how this effective vortex size agrees with the infinite extension of a vortex in the thermodynamic limit. A magnetic friction number is defined which represents a general criterion for the validity of the Thiele equation and quantifies the degree of nonlinearity in the response of a driven spin configuration.", "revisions": [ { "version": "v1", "updated": "2013-08-30T11:37:12.000Z" } ], "analyses": { "keywords": [ "moved magnetic vortices", "energy dissipation", "friction force", "dipolar tip", "thiele equation" ], "tags": [ "journal article" ], "publication": { "journal": "EPL (Europhysics Letters)", "year": 2013, "month": "Sep", "volume": 103, "number": 5, "pages": 57004 }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013EL....10357004M" } } }