## Abstract

The indirect exchange interaction (RKKY) is calculated for the heavy rare earth metals. The conduction electrons are treated by the argumented-plane-wave (APW) method. Numerical results for the susceptibility x

model using both a root-sampling method and a linearized integral method. The first method requires 450,000 and the latter 9,000 points in the entire Brillouin zone for a good agreement with the Lindhard function. X

.

_{q}for APW- and free electrons are given. The numerical accuracy is tested for the free electronmodel using both a root-sampling method and a linearized integral method. The first method requires 450,000 and the latter 9,000 points in the entire Brillouin zone for a good agreement with the Lindhard function. X

_{q}and the wave vector dependent exchange integral J is calculated for Gd, Tb, Dy, and Er in the ordered phase. J_{q}is calculated for Gd with the inclusion of the matrix element, calculated on the basis of APW functions.

Original language | English |
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Place of Publication | Roskilde, Denmark |
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Publisher | Risø National Laboratory |

Number of pages | 24 |

ISBN (Print) | 87-550-0254-4 |

Publication status | Published - 1974 |

Series | Risø-M |
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Number | 1701 |

ISSN | 0418-6435 |

### Bibliographical note

Lecture given at XI Annual Winter School for Theoretical Physics Karpacz, Poland 18-2 to 3-3 1974.## Keywords

- Risø-M-1701