Homes' law in holographic superconductor with linear-$T$ resistivity
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866917707737202688 |
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| author | Jeong, Hyun-Sik Kim, Keun-Young |
| author_facet | Jeong, Hyun-Sik Kim, Keun-Young |
| contents | Homes' law, $ρ_{s} = C \, σ_{DC} \, T_{c}$, is a universal relation of superconductors between the superfluid density $ρ_{s}$ at zero temperature, the critical temperature $T_{c}$ and the electric DC conductivity $σ_{DC}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_01153 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Homes' law in holographic superconductor with linear-$T$ resistivity Jeong, Hyun-Sik Kim, Keun-Young High Energy Physics - Theory Strongly Correlated Electrons Homes' law, $ρ_{s} = C \, σ_{DC} \, T_{c}$, is a universal relation of superconductors between the superfluid density $ρ_{s}$ at zero temperature, the critical temperature $T_{c}$ and the electric DC conductivity $σ_{DC}$ 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. |
| title | Homes' law in holographic superconductor with linear-$T$ resistivity |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2112.01153 |