{ "id": "1412.7956", "version": "v1", "published": "2014-12-26T16:46:25.000Z", "updated": "2014-12-26T16:46:25.000Z", "title": "Derivation of the spin Hamiltonians for Fe in MgO", "authors": [ "Alejandro Ferrón", "Fernando Delgado", "Joaquín Fern'andez-Rossier" ], "comment": "10 pages, 7 Figures", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "A method to calculate the effective spin Hamiltonian for a transition metal impurity in a non- magnetic insulating host is presented and applied to the paradigmatic case of Fe in MgO. In a first step we calculate the electronic structure employing standard density functional theory (DFT), based on generalized-gradient approximation (GGA), using plane waves as a basis set. The corresponding basis of atomic-like maximally localized Wannier functions is derived and used to represent the DFT Hamiltonian, resulting in a tight-binding model for the atomic orbitals of the magnetic impurity. The third step is to solve, by exact numerical diagonalization, the N electron problem in the open shell of the magnetic atom, including both effect of spin-orbit and Coulomb repulsion. Finally, the low energy sector of this multi-electron Hamiltonian is mapped into effective spin models that, in addition to the spin matrices S, can also include the orbital angular momentum L when appropriate. We successfully apply the method to Fe in MgO, considering both, the undistorted and Jahn-Teller (JT) distorted cases. Implications for the influence of Fe impurities on the performance of magnetic tunnel junctions based on MgO are discussed.", "revisions": [ { "version": "v1", "updated": "2014-12-26T16:46:25.000Z" } ], "analyses": { "keywords": [ "spin hamiltonian", "maximally localized wannier functions", "structure employing standard density functional", "employing standard density functional theory" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/1367-2630/17/3/033020", "journal": "New Journal of Physics", "year": 2015, "month": "Mar", "volume": 17, "number": 3, "pages": "033020" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015NJPh...17c3020F" } } }