Space-time Supercrystals from Non-Abelian Electric Translation Symmetries
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909534954455040 |
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| author | Wang, Jian He, James Jun Niu, Qian |
| author_facet | Wang, Jian He, James Jun Niu, Qian |
| contents | Electronic supercrystals can form in spatial or temporal dimensions where traditional mechanisms usually require many-body interactions, such as Wigner crystals or discrete time crystals. We propose a novel approach for electronic supercrystals in 1+1D without requiring many-body interactions, but arising from the competition between characteristic space-time areas in periodically driven Su-Schrieffer-Heeger lattices under electric fields. Utilizing the non-Abelian dynamical symmetries described by the electric translation group, the area competition is characterized by fractal spectra and replicated bands, furnished with eigenstates crystallized in enlarged space-time unit cells forming space-time supercrystals under perturbations. We also report robust dynamical localization of electrons arising from the static topology of the SSH lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13260 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Space-time Supercrystals from Non-Abelian Electric Translation Symmetries Wang, Jian He, James Jun Niu, Qian Other Condensed Matter Mesoscale and Nanoscale Physics Electronic supercrystals can form in spatial or temporal dimensions where traditional mechanisms usually require many-body interactions, such as Wigner crystals or discrete time crystals. We propose a novel approach for electronic supercrystals in 1+1D without requiring many-body interactions, but arising from the competition between characteristic space-time areas in periodically driven Su-Schrieffer-Heeger lattices under electric fields. Utilizing the non-Abelian dynamical symmetries described by the electric translation group, the area competition is characterized by fractal spectra and replicated bands, furnished with eigenstates crystallized in enlarged space-time unit cells forming space-time supercrystals under perturbations. We also report robust dynamical localization of electrons arising from the static topology of the SSH lattice. |
| title | Space-time Supercrystals from Non-Abelian Electric Translation Symmetries |
| topic | Other Condensed Matter Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2409.13260 |