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arXiv · 2112.01153

Homes' law in holographic superconductor with linear-$T$ resistivity

Hyun-Sik Jeong·Keun-Young Kim
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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 $T_c$ 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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Hyun-Sik Jeong, Keun-Young Kim. 2021-12-02. Homes' law in holographic superconductor with linear-$T$ resistivity. https://doi.org/10.1007/jhep03(2022)060

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