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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.13200 |
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| _version_ | 1866929556506542080 |
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| author | Funami, Yu Aoyama, Kazushi |
| author_facet | Funami, Yu Aoyama, Kazushi |
| contents | A one-dimensional charge density wave (CDW) is driven to slide by a dc electric field, carrying an electric current. In an additional ac field with frequency $ω_{\mathrm{ex}}$, it is known that the sliding CDW can be synchronized to $ω_{\mathrm{ex}}$, leading to the occurrence of Shapiro steps in the $I$-$V$ characteristics. Motivated by a recent experiment where ac fields with two frequencies $ω_{\mathrm{ex}}$ and $ω_{\mathrm{ex}}^{\prime}$ are simultaneously applied, we theoretically investigate the effects of frequency mixing on the Shapiro-step formation. Based on the Fukuyama-Lee-Rice model, we show that in addition to the main steps induced by $ω_{\mathrm{ex}}$, satellite steps characterized by $ω_{\mathrm{ex}}^{\prime}$ emerge. It is also found that with increasing the ac-field strength for $ω_{\mathrm{ex}}^{\prime}$, each step width first exhibits a damped oscillation as in the one-frequency case, and then, exhibits a non-monotonic behavior. The origin of these behaviors and the relevance to the associated experiment are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13200 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effects of frequency mixing on Shapiro-step formations in sliding charge-density-waves Funami, Yu Aoyama, Kazushi Strongly Correlated Electrons Superconductivity A one-dimensional charge density wave (CDW) is driven to slide by a dc electric field, carrying an electric current. In an additional ac field with frequency $ω_{\mathrm{ex}}$, it is known that the sliding CDW can be synchronized to $ω_{\mathrm{ex}}$, leading to the occurrence of Shapiro steps in the $I$-$V$ characteristics. Motivated by a recent experiment where ac fields with two frequencies $ω_{\mathrm{ex}}$ and $ω_{\mathrm{ex}}^{\prime}$ are simultaneously applied, we theoretically investigate the effects of frequency mixing on the Shapiro-step formation. Based on the Fukuyama-Lee-Rice model, we show that in addition to the main steps induced by $ω_{\mathrm{ex}}$, satellite steps characterized by $ω_{\mathrm{ex}}^{\prime}$ emerge. It is also found that with increasing the ac-field strength for $ω_{\mathrm{ex}}^{\prime}$, each step width first exhibits a damped oscillation as in the one-frequency case, and then, exhibits a non-monotonic behavior. The origin of these behaviors and the relevance to the associated experiment are also discussed. |
| title | Effects of frequency mixing on Shapiro-step formations in sliding charge-density-waves |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2410.13200 |