On the Amplitude of Vortex Entropy: A Semiclassical Treatment
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916427653447680 |
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| author | Guo, Yehao Qiu, Dong Liu, Haiwen Xiong, Jie |
| author_facet | Guo, Yehao Qiu, Dong Liu, Haiwen Xiong, Jie |
| contents | Despite a long history of Nernst effect in superconductors, a satisfactory theory on its amplitude in vortex liquid phase is still absent. The central quantity of vortex Nernst signals is the entropy $s_ϕ$ carried by each vortex. Here we show a semiclassical treatment based on London equation and Pippard nonlocal generalization. The derived $s_ϕ$ is a function of both temperatures and magnetic fields. Its magnitude $s_ϕ^{amp}$ scales with normal-state conductivity $σ_n$. Estimations based on our formula show good consistency with experimentally determined values. In dirty limit, the relation is further simplified into a Wiedemann-Franz-like ratio $s_ϕ^{amp}/σ_n \propto k_B \ln 2/σ_Q$ if taking parameter values deduced from Homes' law, where $σ_Q=4e^2/h$ is two-dimensional quantum conductivity. We also address related issues, including bounds to $s_ϕ$, the Nernst signal and viscosity-entropy density ratio, which are all expressed in fundamental physical constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05671 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Amplitude of Vortex Entropy: A Semiclassical Treatment Guo, Yehao Qiu, Dong Liu, Haiwen Xiong, Jie Superconductivity Despite a long history of Nernst effect in superconductors, a satisfactory theory on its amplitude in vortex liquid phase is still absent. The central quantity of vortex Nernst signals is the entropy $s_ϕ$ carried by each vortex. Here we show a semiclassical treatment based on London equation and Pippard nonlocal generalization. The derived $s_ϕ$ is a function of both temperatures and magnetic fields. Its magnitude $s_ϕ^{amp}$ scales with normal-state conductivity $σ_n$. Estimations based on our formula show good consistency with experimentally determined values. In dirty limit, the relation is further simplified into a Wiedemann-Franz-like ratio $s_ϕ^{amp}/σ_n \propto k_B \ln 2/σ_Q$ if taking parameter values deduced from Homes' law, where $σ_Q=4e^2/h$ is two-dimensional quantum conductivity. We also address related issues, including bounds to $s_ϕ$, the Nernst signal and viscosity-entropy density ratio, which are all expressed in fundamental physical constants. |
| title | On the Amplitude of Vortex Entropy: A Semiclassical Treatment |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2410.05671 |