De Haas-van Alphen effect study of magnetic interaction in lead

Frequency and amplitude modulation (FM and AM) of a high-frequency (HF) de Haas-van Alphen oscillation due to magnetic interaction (MI) with a low-frequency (LF) oscillation in lead has been examined for field directions parallel to and close to 110, in the light of the old and of a new treatment of MI based on uniform and inhomogeneous inductions over the sample, respectively. The de Haas-van Alphen signals have been measured by the standard low-frequency field modulation method. The strength of AM and the sideband around HF have been examined as a function of the strength of FM and it is found that the experimental data deviate significantly from the prediction by the old treatment. Moreover, the deviation depends not only on the particular sample chosen to study, but also on the orientation, suggesting that the MI effect is influenced by the microscopic inhomogeneity of the sample. The absolute amplitude of LF also has been measured and is found again to deviate significantly from the prediction by the old treatment. However, the measured amplitude shows a satisfactory agreement with the prediction by the new treatment. In conclusion, the new treatment is a plausible theory which can describe all our experimental results, not only qualitatively but also quantitatively.