Wavelet Analysis of the Longitudinal Shubnikov–de Haas Oscillation in Antimony

Abstract

Longitudinal magnetoresistivity component ρyy(y) of a pure antimony single crystal was measured in magnetic fields up to 15 T at several fixed temperatures down to 0.8 K. In place of the conventional Fourier analysis, wavelet analysis is employed to investigate the Shubnikov–de Haas (SdH) oscillation. Wavelet analysis provides not only the SdH oscillation frequency of ρyy(y), but also the intensity spectrum of the oscillation. We found that hole pockets, located at the point H with mirror planes m2 and m3 of the Brillouin zone, make a dominant contribution to the component ρyy(y) of antimony. We also found that the SdH oscillation period due to the hole pockets is equal to 7.80×10-3 T-1, which is in good agreement with that obtained by the Fourier analysis of the de Haas van Alfen (dHvA) effect. The intensity spectrum of the SdH oscillation in wavelet analysis provides a consistent explanation as to why the magnetophonon effect did not appear in antimony. Our analysis has demonstrated that wavelet transform is very promising in the study of Fermi surfaces in semimetals and metals.