Homes' law in holographic superconductor with linear-T resistivity

Abstract

Homes' law, rho(s) = C sigma(DC) T-c, is a universal relation of superconductors between the superfluid density rho(s) at zero temperature, the critical temperature T-c and the electric DC conductivity sigma(DC) at T-c. Experimentally, Homes' law is observed in high T-c super-conductors with linear-T resistivity in the normal phase, giving a material independent universal constant C. By using holographic models related to the Gubser-Rocha model, we investigate how Homes' law can be realized together with linear-T resistivity in the presence of momentum relaxation. We find that strong momentum relaxation plays an important role to exhibit Homes' law with linear-T resistivity.