Kohler's rule 2026-10-18
If one temperature-dependent relaxation scale controls a fixed carrier population and fixed orbital geometry, the magnetoresistance ratio can collapse onto a function of . This is Kohler's rule. For the equal-mobility compensated two-carrier magnetoresistance model, and . Therefore plotting against gives a common straight line of slope . A collapse tests the scaling relation; it does not by itself prove this particular microscopic carrier model. Multiple independently varying scattering times or carrier populations can spoil it.