Helical boundary modes from synthetic spin in a plasmonic lattice
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914452156186624 |
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| author | Park, Sang Hyun Sammon, Michael Mele, Eugene Low, Tony |
| author_facet | Park, Sang Hyun Sammon, Michael Mele, Eugene Low, Tony |
| contents | Artificial lattices have been used as a platform to extend the application of topological physics beyond electronic systems. Here, using the two-dimensional Lieb lattice as a prototypical example, we show that an array of disks which each support localized plasmon modes give rise to an analog of the quantum spin Hall state enforced by a synthetic time reversal symmetry. We find that an effective next-nearest-neighbor coupling mechanism intrinsic to the plasmonic disk array introduces a nontrivial $Z_2$ topological order and gaps out the Bloch spectrum. A faithful mapping of the plasmonic system onto a tight-binding model is developed and shown to capture its essential topological signatures. Full wave numerical simulations of graphene disks arranged in a Lieb lattice confirm the existence of propagating helical boundary modes in the nontrivial band gap. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_12609 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Helical boundary modes from synthetic spin in a plasmonic lattice Park, Sang Hyun Sammon, Michael Mele, Eugene Low, Tony Mesoscale and Nanoscale Physics Artificial lattices have been used as a platform to extend the application of topological physics beyond electronic systems. Here, using the two-dimensional Lieb lattice as a prototypical example, we show that an array of disks which each support localized plasmon modes give rise to an analog of the quantum spin Hall state enforced by a synthetic time reversal symmetry. We find that an effective next-nearest-neighbor coupling mechanism intrinsic to the plasmonic disk array introduces a nontrivial $Z_2$ topological order and gaps out the Bloch spectrum. A faithful mapping of the plasmonic system onto a tight-binding model is developed and shown to capture its essential topological signatures. Full wave numerical simulations of graphene disks arranged in a Lieb lattice confirm the existence of propagating helical boundary modes in the nontrivial band gap. |
| title | Helical boundary modes from synthetic spin in a plasmonic lattice |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2305.12609 |