Homes' law in holographic superconductor with linear-T resistivity
Abstract
Homes' law, s = C \, σDC \, Tc, is a universal relation of superconductors between the superfluid density s 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.
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