Homes’ law in holographic superconductor with linear-T resistivity

Abstract

Abstract Homes’ law, ρs = CσDCTc, is a universal relation of superconductors between the superfluid density ρs at zero temperature, the critical temperature Tc and the electric DC conductivity σDC at Tc. Experimentally, Homes’ law is observed in high Tc superconductors 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.