Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909308307898368 |
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| author | Ghuneim, Mohammad Bomantara, Raditya Weda |
| author_facet | Ghuneim, Mohammad Bomantara, Raditya Weda |
| contents | In this work, we theoretically study a modified Su-Schrieffer-Heeger (SSH) model in which each unit cell consists of three sites. Unlike existing extensions of the SSH model which are made by enlarging the periodicity of the (nearest-neighbor) hopping amplitudes, our modification is obtained by replacing the Pauli matrices in the system's Hamiltonian by their higher dimensional counterparts. This, in turn, leads to the presence of next-nearest neighbor hopping terms and the emergence of different symmetries than those of other extended SSH models. Moreover, the system supports a number of edge states that are protected by a combination of particle-hole, time-reversal, and chiral symmetry. Finally, our system could be potentially realized in various experimental platforms including superconducting circuits as well as acoustic/optical waveguide arrays. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10034 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class Ghuneim, Mohammad Bomantara, Raditya Weda Mesoscale and Nanoscale Physics In this work, we theoretically study a modified Su-Schrieffer-Heeger (SSH) model in which each unit cell consists of three sites. Unlike existing extensions of the SSH model which are made by enlarging the periodicity of the (nearest-neighbor) hopping amplitudes, our modification is obtained by replacing the Pauli matrices in the system's Hamiltonian by their higher dimensional counterparts. This, in turn, leads to the presence of next-nearest neighbor hopping terms and the emergence of different symmetries than those of other extended SSH models. Moreover, the system supports a number of edge states that are protected by a combination of particle-hole, time-reversal, and chiral symmetry. Finally, our system could be potentially realized in various experimental platforms including superconducting circuits as well as acoustic/optical waveguide arrays. |
| title | Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2405.10034 |