Plasmon excitations and their attenuation in dirty superconductors
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911391342919680 |
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| author | Karuzin, Daniil K. Skvortsov, Mikhail A. |
| author_facet | Karuzin, Daniil K. Skvortsov, Mikhail A. |
| contents | We develop a theory for the plasmon spectrum in dirty superconductors across the entire temperature range. Starting with the microscopic Keldysh sigma model description, we link the plasmon dispersion $ω(q)$ to the optical conductivity $σ(ω,T)$ of a superconductor, which requires analytical continuation to the lower half-plane of complex frequency. This approach reveals a discontinuity at the superconducting transition: a jump in both the real and imaginary parts of $ω(q)$ at $T_c$. For any temperature below $T_c$, the plasmon dispersion terminates at a critical wave vector $q_c(T)$ where plasmons remains undamped, with weakly $T$-dependent $ω[q_c(T)] \approx 2Δ(0)$. Plasmons significantly attenuate only within a narrow 5% temperature window near $T_c$, with the propagating mode recovering at large $q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_23431 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Plasmon excitations and their attenuation in dirty superconductors Karuzin, Daniil K. Skvortsov, Mikhail A. Superconductivity We develop a theory for the plasmon spectrum in dirty superconductors across the entire temperature range. Starting with the microscopic Keldysh sigma model description, we link the plasmon dispersion $ω(q)$ to the optical conductivity $σ(ω,T)$ of a superconductor, which requires analytical continuation to the lower half-plane of complex frequency. This approach reveals a discontinuity at the superconducting transition: a jump in both the real and imaginary parts of $ω(q)$ at $T_c$. For any temperature below $T_c$, the plasmon dispersion terminates at a critical wave vector $q_c(T)$ where plasmons remains undamped, with weakly $T$-dependent $ω[q_c(T)] \approx 2Δ(0)$. Plasmons significantly attenuate only within a narrow 5% temperature window near $T_c$, with the propagating mode recovering at large $q$. |
| title | Plasmon excitations and their attenuation in dirty superconductors |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2511.23431 |