Spatially-resolved dynamics of the amplitude Schmid-Higgs mode in disordered superconductors
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arXiv
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| Natura: | Preprint |
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2024
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| _version_ | 1866908479541739520 |
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| author | Nosov, P. A. Andriyakhina, E. S. Burmistrov, I. S. |
| author_facet | Nosov, P. A. Andriyakhina, E. S. Burmistrov, I. S. |
| contents | We investigate the spatially-resolved dynamics of the collective amplitude Schmid-Higgs (SH) mode in disordered $s$-wave superconductors and fermionic superfluids. By analyzing the analytic structure of the zero-temperature SH susceptibility in the complex frequency plane, we find that when the coherence length greatly exceeds the mean free path: (i) the SH response at fixed wave vectors exhibits late-time oscillations decaying as $1/t^2$ with frequency $2Δ$, where $Δ$ is the superconducting gap; (ii) sub-diffusive oscillations with a dynamical exponent $z{=}4$ emerge at late times and large distances; and (iii) spatial oscillations at fixed frequency decay exponentially, with a period that diverges as the frequency approaches $2Δ$ from above. When the coherence length is comparable to the mean free path, additional exponentially-decaying oscillations at fixed wave vectors appear with frequency above $2Δ$. Furthermore, we show that the SH mode induces an extra peak in the third-harmonic generation current at finite wave-vectors. The frequency of this peak is shifted from the conventional resonance at $Δ$, thereby providing an unambiguous signature of order parameter amplitude dynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_11647 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spatially-resolved dynamics of the amplitude Schmid-Higgs mode in disordered superconductors Nosov, P. A. Andriyakhina, E. S. Burmistrov, I. S. Superconductivity Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Quantum Gases We investigate the spatially-resolved dynamics of the collective amplitude Schmid-Higgs (SH) mode in disordered $s$-wave superconductors and fermionic superfluids. By analyzing the analytic structure of the zero-temperature SH susceptibility in the complex frequency plane, we find that when the coherence length greatly exceeds the mean free path: (i) the SH response at fixed wave vectors exhibits late-time oscillations decaying as $1/t^2$ with frequency $2Δ$, where $Δ$ is the superconducting gap; (ii) sub-diffusive oscillations with a dynamical exponent $z{=}4$ emerge at late times and large distances; and (iii) spatial oscillations at fixed frequency decay exponentially, with a period that diverges as the frequency approaches $2Δ$ from above. When the coherence length is comparable to the mean free path, additional exponentially-decaying oscillations at fixed wave vectors appear with frequency above $2Δ$. Furthermore, we show that the SH mode induces an extra peak in the third-harmonic generation current at finite wave-vectors. The frequency of this peak is shifted from the conventional resonance at $Δ$, thereby providing an unambiguous signature of order parameter amplitude dynamics. |
| title | Spatially-resolved dynamics of the amplitude Schmid-Higgs mode in disordered superconductors |
| topic | Superconductivity Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Quantum Gases |
| url | https://arxiv.org/abs/2409.11647 |