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Dislocations and the de Haas-van Alphen Effect in Copper

Dislocations and the de Haas-van Alphen Effect in Copper Experiments have been carried out to determine the effect of lattice dislocations in pure copper single crystals on the de Haas-van Alphen (dHv A) scattering (Dingle) temperature X . The measurements were made on copper samples of measured dislocation density under stringent experimental conditions, including a magnetic field homogeneity of better than 2 ppm and an orientation of the sample symmetry direction along the field to within 0.05°. The results for the 111 neck and belly orbits in copper showed a linear dependence of X on the dislocation density D over the range D ≃ 0.5 × 10 7 to 7 × 10 7 cm - 2 , with slopes given by X n D ≃ 0.32 × 10 - 7 K cm 2 and X b D ≃ 0.08 × 10 - 7 K cm 2 . Two approaches have been suggested to explain the results: (i) The scattering temperature is inversely proportional to the electron relaxation time and is therefore a direct measure of electron scattering from dislocations; (ii) X is due to phase cancellation in the dHv A signal from orbits moving within the spatially varying elastic strain field of the dislocation array. The experimental results are discussed in terms of these two points of view. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Dislocations and the de Haas-van Alphen Effect in Copper

Terwilliger, D. W; Higgins, R. J
Physical Review B , Volume 7 (2) – Jan 15, 1973
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1973 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.7.667
Publisher site
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Abstract

Experiments have been carried out to determine the effect of lattice dislocations in pure copper single crystals on the de Haas-van Alphen (dHv A) scattering (Dingle) temperature X . The measurements were made on copper samples of measured dislocation density under stringent experimental conditions, including a magnetic field homogeneity of better than 2 ppm and an orientation of the sample symmetry direction along the field to within 0.05°. The results for the 111 neck and belly orbits in copper showed a linear dependence of X on the dislocation density D over the range D ≃ 0.5 × 10 7 to 7 × 10 7 cm - 2 , with slopes given by X n D ≃ 0.32 × 10 - 7 K cm 2 and X b D ≃ 0.08 × 10 - 7 K cm 2 . Two approaches have been suggested to explain the results: (i) The scattering temperature is inversely proportional to the electron relaxation time and is therefore a direct measure of electron scattering from dislocations; (ii) X is due to phase cancellation in the dHv A signal from orbits moving within the spatially varying elastic strain field of the dislocation array. The experimental results are discussed in terms of these two points of view.

Journal

Physical Review B – American Physical Society (APS)

Published: Jan 15, 1973

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