Abstract
We derive an expression for the harmonic content of the oscillatory magnetization (de Haas-van Alphen effect) which is valid in the most general case, when the harmonic amplitudes and the relative harmonic phases of the pure Lifshitz-Kosevitch (LK) theory are modified by an arbitrary combination of magnetic interaction (MI), spin-scattering anisotropy (SSA) and exchange shift effects. The calculation produces several conclusions which bear directly upon the possibility of generally being able to determine separately the up-spin and down-spin conduction electron lifetimes in the presence of magnetic impurities, by means of measurements of the amplitudes and relative phase of the fundamental and second harmonic dHvA oscillations. We have shown that not only does SSA shift the first and second LK harmonics in phase, by amountsΔΘ1 andΔΘ2, but SSA also shifts the second harmonic magnetic interaction component by an amount 2ΔΘ1. We find that, in general, the combined effect of both MI and SSA on the observable relative phase angle, (2 Θ1−Θ2), can either add or cancel. In the limit in which the second harmonic is dominated by the MI component it can be shown that (2 Θ1−Θ2) goes to π, regardless of the amount of SSA, so that no useful information regarding SSA can be obtained from (2 Θ1−Θ2) in this case. Measurable quantities and measurement techniques, for the determination of SSA, are discussed briefly.
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References
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A discussion of this extension of the Phillips and Gold magnetic interaction expansion to include the effects of demagnetization is given in reference 7
See p. 1805 of reference 5. We wish to thank Mr. B. G. Mulimani for pointing this out to us
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Research conducted at the University of Oregon with support from the National Science Foundation (USA).
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Lowndes, D.H., Chung, Y. On the measurement of electronic spin-scattering anisotropy in the presence of magnetic interaction effects, using the dHvA Waveshape Analysis method. Phys cond Matter 19, 285–300 (1975). https://doi.org/10.1007/BF01458876
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DOI: https://doi.org/10.1007/BF01458876