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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.05595 |
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| _version_ | 1866910328065884160 |
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| author | Betancur-Ocampo, Yonatan Manjarrez-Montañez, B. Martínez-Argüello, A. M. Méndez-Sánchez, Rafael A. |
| author_facet | Betancur-Ocampo, Yonatan Manjarrez-Montañez, B. Martínez-Argüello, A. M. Méndez-Sánchez, Rafael A. |
| contents | Strong long-range hoppings up to third nearest neighbors may induce a topological phase transition in one-dimensional chains. Unlike the Su-Schrieffer-Heeger model, this transition from trivial to topological phase occurs with the emergence of a pseudospin valley structure and a twofold nontrivial topological phase. Within a tight-binding approach, these topological phases are analyzed in detail and it is shown that the low-energy excitations follow a modified Dirac equation, in which the dynamics of particles with positive and negative mass occur differently. An experimental realization in a one-dimensional elastic chain, where it is feasible to tune directly the third-nearest-neighbor hoppings, is proposed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_05595 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Twofold topological phase transitions induced by third-nearest-neighbor interactions in 1D chains Betancur-Ocampo, Yonatan Manjarrez-Montañez, B. Martínez-Argüello, A. M. Méndez-Sánchez, Rafael A. Materials Science Strong long-range hoppings up to third nearest neighbors may induce a topological phase transition in one-dimensional chains. Unlike the Su-Schrieffer-Heeger model, this transition from trivial to topological phase occurs with the emergence of a pseudospin valley structure and a twofold nontrivial topological phase. Within a tight-binding approach, these topological phases are analyzed in detail and it is shown that the low-energy excitations follow a modified Dirac equation, in which the dynamics of particles with positive and negative mass occur differently. An experimental realization in a one-dimensional elastic chain, where it is feasible to tune directly the third-nearest-neighbor hoppings, is proposed. |
| title | Twofold topological phase transitions induced by third-nearest-neighbor interactions in 1D chains |
| topic | Materials Science |
| url | https://arxiv.org/abs/2306.05595 |