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  • Access by Xinjiang University

Galvanomagnetic Investigation of Energy Bands in Arsenic

J. R. Sybert, H. J. Mackey, and K. L. Hathcox

  • Department of Physics, North Texas State University, Denton, Texas

Phys. Rev. 166, 710 – Published 15 February, 1968

DOI: https://doi.org/10.1103/PhysRev.166.710

Abstract

The isothermal magnetoresistivity and Hall resistivity in a monocrystal of arsenic have been studied at temperatures of liquid helium in fields up to 25 kG. All measurements were taken in the basal plane of the crystal with magnetic field perpendicular to the plane and parallel to the trigonal axis. The binary axis was in the basal plane and parallel to the long dimension of the crystal. The magnetoconductivity tensor element σ11 and the Hall conductivity element σ12 were constructed from resistivity data and analyzed in terms of two-and three-band models. A least-squares curve fitting of the conductivities to the quasiclassical model of Sondheimer and Wilson indicates two major energy bands of carriers. The Hall effect is positive. The high-mobility carriers are holes with mobility approximately four times that of the equally populous electrons. The carrier concentration is n2×1020cm3 if determined from σ11 data along with effective-mass anisotropy data established from quantum-oscillation studies. Simultaneous curve fitting of the σ11 and σ12 data gives n0.7×1020cm3.

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  21. Omitted endnote

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