Observation of the magneto-phonon effect due to acoustic phonons in the planar Hall effect of bismuth

Abstract

The magneto-phonon effect due to acoustic phonons in bismuth, first observed in the thermal variation of the longitudinal Shubnikov–de Haas oscillations, has been investigated by the measurement of the oscillatory planar Hall coefficient. The oscillatory planar Hall coefficient R was obtained from the measurements of magneto-resistivity component ρ yx ( y) of bismuth in magnetic fields up to 5 T at several fixed temperatures. The obtained R became largest in amplitude at temperatures around 6.5 or 5.4 K, and became less and less intense as the temperature decreased. This temperature dependence was understood by considering the magneto-phonon effect, in which the number of phonons responsible for the inter-Landau level transition of electrons decreased with lowering temperature.