Anisotropic Hall Coefficients in n-Type Germanium

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Precise measurements of Hall effect have been made at 77°K, 90°K, 195°K, and 298°K up to 11,000 gauss on oriented single crystals of n-type germanium containing 5 × 10^<14> antimony per cm^3 as donor centers. The results should principally indicate the variations of μ_H/μ with the magnetic field and with the temperature, since the carrier concentration may be practically constant under the present conditions. Absolute values of fμ_H/μ have been deduced from R_∞ and R_0. R_∞ for which μ_H/μ always equals unity is fortunately obtained by extraporating R^<<001>>_H (77°K) vs 1/H^2 data. Then R^<<001>>_H/R_∞ will straightway give μ_H/μ・<001>_H. On the other hand, μ_H/μ for other orientations may be indirectly estimated from their extraporated R_0 for which μ_H/μ is independent of the orientation and should be equal to R^<<001>>_0/R_∞ at respective temperatures, neglecting the effect due to slightly different impurity concentration between specimens. Values of μ_H/μ thus determined are always smaller than unity, while those of <001>_H approach to unity most rapidly with increasing field and those of <110>_H most slowly. They are of course temperature dependent and the zero magnetic field values are equal to 0.83 at 77°K, 0.84 at 90°K, 0.90 at 195°K and 0.92 at 298°K respectively. Numerical evaluation of the Boltzmann's equation taking account of ellipsoid model and mixed scatterings can give the observed values fairly well. It appears, however, preferable to introduce some correction term, e.g., reasonable amount of optical phonon scattering for the best agreement.
社団法人日本物理学会の論文
1960-11-05

Anisotropic Hall Coefficients in n-Type Germanium

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