Linear temperature dependence of the resistivity in the new superconductors

Abstract

We present an elementary proof that, irrespective of dimensionality, the electrical resistivity of a simple conductor should be linear with temperature for T>2PFSkB≪ΘD if PF≪hπa , where PF is the Fermi momentum, s the speed of sound, a the lattice constant, and ΘD the Debye temperature.