Oscillatory Galvanomagnetic Properties of Bismuth Single Crystals in Longitudinal Magnetic Fields

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Abstract
The galvanomagnetic effects of oriented single crystals of bismuth have been studied in longitudinal magnetic fields up to 60 000 gauss at liquid helium temperatures. Oscillatory behaviors with de Haas-van Alphen periodicity were discovered to be superimposed upon the normal galvanomagnetic effects. These results showed that the periods for galvanomagnetic oscillations were independent of the direction and magnitude of the electric current. At high fields, a previously unreported oscillation was observed having a period which compares favorably with the period calculated from parameters for the de Haas-van Alphen effect at the same orientation. At the higher fields and lower temperatures, the galvanomagnetic oscillations exhibited a remarkable resemblance to the exact theory for the oscillatory magnetic susceptibility of a free-electron gas. Both the normal and the oscillatory galvanomagnetic effects are analyzed in terms of a tilted, multi-ellipsoidal model. For one of the orientations studied, the normal longitudinal magneto-resistance exhibited an anomalous maximum, which is attributed to scattering from internal surfaces.

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