Exchange interaction in the heavy rare earth metals calculated from energy bands

Per-Anker Lindgård

Exchange interaction in the heavy rare earth metals calculated from energy bands

Per-Anker Lindgård

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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_q for APW- and free electrons are given. The numerical accuracy is tested for the free electron
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 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

Place of Publication	Roskilde, Denmark
Publisher	Risø National Laboratory
Number of pages	24
ISBN (Print)	87-550-0254-4
Publication status	Published - 1974

Series	Risø-M
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

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title = "Exchange interaction in the heavy rare earth metals calculated from energy bands",

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 xq for APW- and free electrons are given. The numerical accuracy is tested for the free electron 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. Xq and the wave vector dependent exchange integral J is calculated for Gd, Tb, Dy, and Er in the ordered phase. Jq is calculated for Gd with the inclusion of the matrix element, calculated on the basis of APW functions .",

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T1 - Exchange interaction in the heavy rare earth metals calculated from energy bands

AU - Lindgård, Per-Anker

N1 - Lecture given at XI Annual Winter School for Theoretical Physics Karpacz, Poland 18-2 to 3-3 1974.

PY - 1974

Y1 - 1974

N2 - 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 xq for APW- and free electrons are given. The numerical accuracy is tested for the free electron 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. Xq and the wave vector dependent exchange integral J is calculated for Gd, Tb, Dy, and Er in the ordered phase. Jq is calculated for Gd with the inclusion of the matrix element, calculated on the basis of APW functions .

AB - 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 xq for APW- and free electrons are given. The numerical accuracy is tested for the free electron 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. Xq and the wave vector dependent exchange integral J is calculated for Gd, Tb, Dy, and Er in the ordered phase. Jq is calculated for Gd with the inclusion of the matrix element, calculated on the basis of APW functions .

KW - Risø-M-1701

M3 - Report

SN - 87-550-0254-4

T3 - Risø-M

BT - Exchange interaction in the heavy rare earth metals calculated from energy bands

PB - Risø National Laboratory

CY - Roskilde, Denmark

ER -

Exchange interaction in the heavy rare earth metals calculated from energy bands

Abstract

Bibliographical note

Keywords

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