ON THE LINEAR RESISTIVITY LAW ρ∝TOF HIGH Tc SUPERCONDUCTORS

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Abstract
It is shown that at low temperatures, T≪TF, a general form of short-range s-d type interaction between two species of fermions leads to a resistivity law ρ∝Td−1 where d=2, 3 is the dimension of the system. In energy units T F is of the order of the bandwidths of the charge carriers which are assumed to be quasi-free. The calculation is based on a Boltzmann transition rate deduced from the two-body s-d type scattering matrix element. The consequences of making one of the fermions very heavy and of replacing it by a boson are also discussed.

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