### Abstract

A general formulation of intersite (layer) exchange coupling in bulk (multilayer) materials is proposed based on the treatment of the spin (layer) rotation as a perturbation in terms of the force theorem and multiple scattering theory. The expansion of the intersite (layer) exchange interaction energy gives expressions for the bilinear and biquadratic exchange. For metals, the approach is illustrated by linear muffin-tin orbital calculations of exchange coupling constants in the ferromagnetic 3D-metals and the fee phase of bulk Fe. Long range oscillations of strongly volume dependent exchange coupling in fee Fe appears to be the origin of the spin-density-wave instability in this metastable phase. The correctness of expressions for the limit of localized magnets is demonstrated by calculations for the antiferromagnetic insulator NiO. In contrast with other theories, this method can be used for both nonmagnetic and magnetic spacers in metallic multilayers, as is illustrated by calculations of the interfacial and interlayer exchange in Fe/Mn and Co/Mn.

Original language | English |
---|---|

Pages (from-to) | 4805-4807 |

Number of pages | 3 |

Journal | Journal of Applied Physics |

Volume | 79 |

Issue number | 8 PART 2A |

Publication status | Published - Apr 15 1996 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)

### Cite this

*Journal of Applied Physics*,

*79*(8 PART 2A), 4805-4807.

**Theory of non-Heisenberg exchange : Results for localized and itinerant magnets.** / Mryasov, O. N.; Freeman, Arthur J; Liechtenstein, A. I.

Research output: Contribution to journal › Article

*Journal of Applied Physics*, vol. 79, no. 8 PART 2A, pp. 4805-4807.

}

TY - JOUR

T1 - Theory of non-Heisenberg exchange

T2 - Results for localized and itinerant magnets

AU - Mryasov, O. N.

AU - Freeman, Arthur J

AU - Liechtenstein, A. I.

PY - 1996/4/15

Y1 - 1996/4/15

N2 - A general formulation of intersite (layer) exchange coupling in bulk (multilayer) materials is proposed based on the treatment of the spin (layer) rotation as a perturbation in terms of the force theorem and multiple scattering theory. The expansion of the intersite (layer) exchange interaction energy gives expressions for the bilinear and biquadratic exchange. For metals, the approach is illustrated by linear muffin-tin orbital calculations of exchange coupling constants in the ferromagnetic 3D-metals and the fee phase of bulk Fe. Long range oscillations of strongly volume dependent exchange coupling in fee Fe appears to be the origin of the spin-density-wave instability in this metastable phase. The correctness of expressions for the limit of localized magnets is demonstrated by calculations for the antiferromagnetic insulator NiO. In contrast with other theories, this method can be used for both nonmagnetic and magnetic spacers in metallic multilayers, as is illustrated by calculations of the interfacial and interlayer exchange in Fe/Mn and Co/Mn.

AB - A general formulation of intersite (layer) exchange coupling in bulk (multilayer) materials is proposed based on the treatment of the spin (layer) rotation as a perturbation in terms of the force theorem and multiple scattering theory. The expansion of the intersite (layer) exchange interaction energy gives expressions for the bilinear and biquadratic exchange. For metals, the approach is illustrated by linear muffin-tin orbital calculations of exchange coupling constants in the ferromagnetic 3D-metals and the fee phase of bulk Fe. Long range oscillations of strongly volume dependent exchange coupling in fee Fe appears to be the origin of the spin-density-wave instability in this metastable phase. The correctness of expressions for the limit of localized magnets is demonstrated by calculations for the antiferromagnetic insulator NiO. In contrast with other theories, this method can be used for both nonmagnetic and magnetic spacers in metallic multilayers, as is illustrated by calculations of the interfacial and interlayer exchange in Fe/Mn and Co/Mn.

UR - http://www.scopus.com/inward/record.url?scp=0000863917&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000863917&partnerID=8YFLogxK

M3 - Article

VL - 79

SP - 4805

EP - 4807

JO - Journal of Applied Physics

JF - Journal of Applied Physics

SN - 0021-8979

IS - 8 PART 2A

ER -