1 14.1 Definitions
1.1 1.1 ELECTRICAL RESISTIVITY
The current density in a material, j, is, in the weak field limit, proportional to the electric field E: j = σE, where σ is the conductivity. The resistivity ρ is the reciprocal of the conductivity: E = ρj. This equation is in fact a tensor relation. The field and the current are not always colinear, and the conductivity is a function of direction in a material with low crystal symmetry. For a cubic material, the conductivity is isotropic in the absence of a magnetic field; it is related to the density of free carriers n, their effective mass m*, their charge q = ±e, and to the mean time between collisions τ, by:
μ is the mobility of the carriers, i.e. the ratio of their mean velocity to the electric field. The mean free path is λ = vFτ, where vF is the average velocity at the Fermi level. A description of scattering mechanisms is given in chapter 20.
1.2 1.2 MAGNETORESISTANCE
In an applied field, or in a material where a...
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du Trémolet de Lacheisserie, É., Gignoux, D., Schlenker, M. (2002). Magnetic Resistivity Magnetoresistance, and the Hall Effect . In: du Trémolet de Lacheisserie, É., Gignoux, D., Schlenker, M. (eds) Magnetism. Springer, New York, NY. https://doi.org/10.1007/978-0-387-23062-7_14
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