Quantum Oscillations Of Velocity Research Articles

Power Spectrum Analysis of Quantum Oscillations of the Velocity of Sound in Antimony

By the power spectrum analysis of the quantum oscillations of the sound velocity in antimony, the geometrical factors G of the energy surfaces were studied. For holes it was found that G is ellipsoidal for the light mass directions. The coupling constants of holes with the sound wave were determined from the peak values of the power spectrum as follows: | C x d | 2 =20.0 ±1.0, | C x f | 2 =1.6 ±0.3, | C y d | 2 =5.65 ±0.30, | C y f | 2 =5.95 ±0.40 and | C z d | 2 =0.55 ±0.05 eV 2 . It was also found that for electrons G differs from the ellipsoid. The coupling constants were determined under the assumption that the densities of states of electrons and holes at zero magnetic field are given by the ellipsoidal models. The results are: | C x a | 2 =18.2 ±3.6, | C x b | 2 =8.66 ±1.7, | C y a | 2 =22.6 ±5.0, | C y b | 2 =2.78 ±0.55 and | C z a | 2 =0.475 ±0.043 eV 2 .

Spin Splitting Factors of Electrons in Bismuth for Heavy Mass Directions

Spin splitting factors γ of electrons are determined from the measuremtents of quantum oscillations of velocity of sound. It is found that, near tire binary and the trigonal axes where electrons have heavy cyclotron masses, experimental γ deviates systematically from the theoretical γ predicted from the SBR-Baraff model. A new model to account for this discrepancy is proposed. It is based on the stronger effects of the remote bands to the conduction band energy than those considered by Baraff.