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Shubnikov-de Haas Effect in Bismuth

1962; American Institute of Physics; Volume: 127; Issue: 5 Linguagem: Inglês

10.1103/physrev.127.1480

1536-6065

Lawrence S. Lerner,

Advanced Chemical Physics Studies

The oscillatory component of the transverse magnetoresistance of bismuth has been measured as a function of magnetic field orientation at liquid helium temperatures. A derivative technique was employed. In addition to sets of periods, observed in the de Haas-van Alphen effect by Shoenberg and by Brandt and attributed by them, respectively, to the electron and light-hole Fermi surfaces, we observe a new set of isotropic short periods, $P=0.72\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$ ${\mathrm{G}}^{\ensuremath{-}1}$. The squares of the electron Fermi momenta ${m}_{0}{{\ensuremath{\kappa}}_{11}}^{2}$, ${m}_{0}{{\ensuremath{\kappa}}_{22}}^{2}$, ${m}_{0}{{\ensuremath{\kappa}}_{33}}^{2}$, ${m}_{0}{{\ensuremath{\kappa}}_{23}}^{2}$ are, respectively, 0.189, 45.4, 0.918, and $\ensuremath{-}4.54{m}_{0}$ milli-electron volts (meV). For the light holes, ${m}_{0}{{\ensuremath{\kappa}}_{11}}^{2}$ and ${m}_{0}{{\ensuremath{\kappa}}_{33}}^{2}$ are 1.51 and $21.0{m}_{0}$ meV. For the new heavy carriers, ${m}_{0}{\ensuremath{\kappa}}^{2}=3.18{m}_{0}$ meV. These data are fitted to two possible three-carrier models of the Fermi surface, and to a four-carrier model. Significant deviations of the oscillations from periodicity in ${H}^{\ensuremath{-}1}$ are observed for the electron part of the Fermi surface for certain magnetic field orientations.