Galvanomagnetic Effects in Antimony at Liquid-Helium Temperatures

Abstract

Galvanomagnetic effects in a single crystal of antimony were studied at liquid-helium temperatures in magnetic fields up to 18 kG. A study of the Shubnikov-de Haas oscillations with respect to crystal orientation was made to map the Fermi surfaces of the carriers. The electron Fermi surface was found to agree with the tilted ellipsoid model proposed by Shoenberg. The hole Fermi surface could not be determined unambiguously; the data were found to be compatible with a three-ellipsoid model. The nonoscillatory parts of the conductivities were analyzed on the basis of the Sondheimer-Wilson theory in the two-band model. The results showed an equal number of electrons and holes with the mobilities of the electrons being five times larger than that of the holes. The amplitudes of the oscillations in the conductivities were found to disagree with the Lifshitz-Kosevich theory but to agree (magnetoconductivity only) in order of magnitude with the Zil'berman theory.