Space-time supercrystals from non-Abelian electric translation symmetries
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 an approach for electronic supercrystals in 1+1D without requiring many-body interactions, but arisin...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013265 |
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| _version_ | 1850228170372939776 |
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| author | Jian Wang James Jun He Qian Niu |
| author_facet | Jian Wang James Jun He Qian Niu |
| author_sort | Jian Wang |
| collection | DOAJ |
| description | 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 an 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 | Article |
| id | doaj-art-2ec8effe016e4a4aa7ceac36f4a6e0f6 |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-2ec8effe016e4a4aa7ceac36f4a6e0f62025-08-20T02:04:37ZengAmerican Physical SocietyPhysical Review Research2643-15642025-03-017101326510.1103/PhysRevResearch.7.013265Space-time supercrystals from non-Abelian electric translation symmetriesJian WangJames Jun HeQian NiuElectronic 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 an 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.http://doi.org/10.1103/PhysRevResearch.7.013265 |
| spellingShingle | Jian Wang James Jun He Qian Niu Space-time supercrystals from non-Abelian electric translation symmetries Physical Review Research |
| title | Space-time supercrystals from non-Abelian electric translation symmetries |
| title_full | Space-time supercrystals from non-Abelian electric translation symmetries |
| title_fullStr | Space-time supercrystals from non-Abelian electric translation symmetries |
| title_full_unstemmed | Space-time supercrystals from non-Abelian electric translation symmetries |
| title_short | Space-time supercrystals from non-Abelian electric translation symmetries |
| title_sort | space time supercrystals from non abelian electric translation symmetries |
| url | http://doi.org/10.1103/PhysRevResearch.7.013265 |
| work_keys_str_mv | AT jianwang spacetimesupercrystalsfromnonabelianelectrictranslationsymmetries AT jamesjunhe spacetimesupercrystalsfromnonabelianelectrictranslationsymmetries AT qianniu spacetimesupercrystalsfromnonabelianelectrictranslationsymmetries |