Resistivity of a 2d quantum critical metal

We calculate resistivity in the paramagnetic phase just above the curie temperature in a 2d ferromagnetic metal. The required dynamical susceptibility in the formalism of resistivity is calculated within the Random Phase Approximation (RPA). The mechanism of resistivity is magnetic scattering, in which s-band electrons are scattered off the magnetic spin fluctuations of d-band electrons. We use the s-d Hamiltonian formalism. We find that near the quantum critical point the resistivity in 2d scales as T-4/3 and in the high temperature limit resistivity scales as proportional to T. In contrast to it, resistivity due to phonon scattering is given by T-5 in low temperature limit as is well known. Our RPA result agrees with the Self-Consistence Renormalization (SCR) theory result. (C) 2019 Elsevier B.V. All rights reserved.