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Magnetic Field Dependence of the Hall Effect and Magnetoresistance in Graphite Single Crystals

D. E. Soule*

  • National Carbon Research Laboratories, Cleveland, Ohio

  • *National Carbon Company, Division of Union Carbide Corporation.

Phys. Rev. 112, 698 – Published 1 November, 1958

DOI: https://doi.org/10.1103/PhysRev.112.698

Abstract

The Hall coefficient and magnetoresistance in purified (99.995%) natural graphite single crystals have been measured from 25 to 25 000 gauss at 298°, 77°, and 4.2°K with the field oriented parallel to the hexagonal axis. Special care was taken in the micromanipulation and strain-free mounting of these small soft crystals. Fast minority carriers due to Fermi-surface warping were discovered by their effect on the low-field Hall coefficient behavior. The compensating effect between the majority electron and hole densities [(5-2) ×1018 cm3 with nenh=1.01.15 over the above temperature range] and mobilities [(1.5-130)×104 cm2/v sec with μeμh=1.100.79] makes the Hall coefficient very sensitive to the temperature, impurities, and field where it even changes sign. A quadratic low-field room-temperature magnetoresistance dependence progresses at higher fields to an impurity-insensitive H1.78 behavior. The large magnetoresistance ratio of graphite (∼105 at 4.2°K and 23 kilogauss), along with the appearance of de Haas-van Alphen type oscillations in these properties, demonstrates the small effective masses (0.03m0, 0.06m0) and long relaxation times (2.5×1011 sec at 4.2°K). The mobility follows a T1.2 law in the lattice-scattering region ≳50°K. Low-temperature results, showing carrier density differences and mobilities to be most sensitive to impurities, substantiate the relatively high purity of these crystals.

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