Plasmons in N-layer systems
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912521833676800 |
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| author | Kim, Taehun Hwang, E. H. Min, Hongki |
| author_facet | Kim, Taehun Hwang, E. H. Min, Hongki |
| contents | In multilayer structures, the coupling between layers gives rise to unique plasmon modes, but analytic solutions are typically available only for bilayers due to the increasing complexity as the number of layers increases. We investigate plasmons in multilayer structures, including the effects of interlayer tunneling. By introducing the Coulomb eigenvector basis for multilayer systems, which can be solved exactly using Kac-Murdock-Szegő Toeplitz matrices, we analytically derive the long-wavelength plasmon dispersions both with and without interlayer tunneling. In the $N$-layer systems, we find that, in the absence of interlayer tunneling, the out-of-phase acoustic or charge neutral plasmon modes with linear dispersions ($ω_α\propto q/\sqrt{{1-\cos{\left(\frac{α-1}{N}π\right)}}}$ for $α= 2, 3, \cdots, N$) exist, while the in-phase classical plasmon mode exhibits its conventional dispersion ($ω_1\propto \sqrt{q}$). When interlayer tunneling is present, the out-of-phase modes develop plasmon gaps that are governed by specific interband transitions, whereas the classical mode remains unaffected. These findings have broad applicability to general coupled-layer structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23950 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Plasmons in N-layer systems Kim, Taehun Hwang, E. H. Min, Hongki Mesoscale and Nanoscale Physics In multilayer structures, the coupling between layers gives rise to unique plasmon modes, but analytic solutions are typically available only for bilayers due to the increasing complexity as the number of layers increases. We investigate plasmons in multilayer structures, including the effects of interlayer tunneling. By introducing the Coulomb eigenvector basis for multilayer systems, which can be solved exactly using Kac-Murdock-Szegő Toeplitz matrices, we analytically derive the long-wavelength plasmon dispersions both with and without interlayer tunneling. In the $N$-layer systems, we find that, in the absence of interlayer tunneling, the out-of-phase acoustic or charge neutral plasmon modes with linear dispersions ($ω_α\propto q/\sqrt{{1-\cos{\left(\frac{α-1}{N}π\right)}}}$ for $α= 2, 3, \cdots, N$) exist, while the in-phase classical plasmon mode exhibits its conventional dispersion ($ω_1\propto \sqrt{q}$). When interlayer tunneling is present, the out-of-phase modes develop plasmon gaps that are governed by specific interband transitions, whereas the classical mode remains unaffected. These findings have broad applicability to general coupled-layer structures. |
| title | Plasmons in N-layer systems |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2503.23950 |