Mean Free Path of Electrons and Magnetomorphic Effects in Small Single Crystals of Gallium. II

Abstract

The variation of the electrical resistivity of pure gallium has been investigated as a function of specimen size in oriented single crystals for current flow along the $A$ and $B$ axes. An analysis of the data, based on the free-electron model and assuming diffuse scattering at the boundaries, gives ${\left({\rho }_b{l}_b\right)}_{A\mathrm{axis}}=2.30\mathrm{}\times {10}^{-11\mathrm{}}$ Ω ${\mathrm{cm}}^2$, and ${\left({\rho }_b{l}_b\right)}_{B\mathrm{axis}}=8.17\mathrm{}\times {10}^{-12\mathrm{}}$ Ω ${\mathrm{cm}}^2$. The longitudinal magnetoresistance was measured for fields up to 1400 G and was found to be dependent upon the dimensions of the wires. The resistivity of the wires was also found to be a function of measuring current, and this variation is attributed to the perturbation of carrier trajectories by the magnetic field of the current.