Low-field magnetoresistance in metals
- 15 May 1976
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 13 (10) , 4227-4236
- https://doi.org/10.1103/physrevb.13.4227
Abstract
Low-field magnetoresistance and Hall coefficient are calculated in the anisotropic-relaxation-time approximation. Simple results are obtained for Fermi-surface models which can be composed of spherical, cylindrical, and planar surfaces. Influences of the Fermi-surface geometry and the scattering anisotropy on the low-field magnetoresistance are discussed. With small modifications the method is applied to polyvalent metals with nearly-free-electron Fermi-surfaces. Simultaneous magnetoresistance and Hall-coefficient measurements combined with a three-group model calculation for the electronic mean free path are suggested as a means to determine the anisotropy of the electronic scattering in nearly-free-electron-like polyvalent metals. In an Appendix the results are extended to the longitudinal magnetoresistance.Keywords
This publication has 29 references indexed in Scilit:
- New Method for Computing the Weak-Field Hall CoefficientPhysical Review B, 1968
- A size-dependent sign reversal in the hall coefficient of indiumPhysics Letters, 1965
- Experimental analysis of the electronic structure of metalsReports on Progress in Physics, 1960
- The Thermoelectric, Galvanomagnetic and Thermomagnetic Effects of Monovalent Metals. III. The Galvanomagnetic and Thermomagnetic Effects for Anisotropic Media.Journal of the Physics Society Japan, 1958
- Magnetoresistance of Single Crystals of CopperPhysical Review B, 1957
- Magneto-resistance effects in the group I metals at high fieldsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957
- Field Dependence of MagnetoconductivityPhysical Review B, 1956
- Effect of Magnetic Fields on Conduction—"Tube Integrals"Physical Review B, 1950
- Change of Resistance in a Magnetic FieldPhysical Review B, 1939
- The theory of the change in resistance in a magnetic fieldProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1934