Chiral symmetry breaking and topological charge of graphene nanoribbons
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916171668783104 |
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| author | Lee, Hyun Cheol Yang, S. -R. Eric |
| author_facet | Lee, Hyun Cheol Yang, S. -R. Eric |
| contents | We explore the edge properties of rectangular graphene nanoribbons featuring two zigzag edges and two armchair edges. Although the self-consistent Hartree-Fock fields break chiral symmetry, our work demonstrates that graphene nanoribbons maintain their status as short-range entangled symmetry-protected topological insulators. The relevant symmetry involves combined mirror and time-reversal operations. In undoped ribbons displaying edge ferromagnetism, the band gap edge states with a topological charge form on the zigzag edges. An analysis of the anomalous continuity equation elucidates that this topological charge is induced by the gap term. In low-doped zigzag ribbons, where the ground state exhibits edge spin density waves, this topological charge appears as a nearly zero-energy edge mode. Our system is outside the conventional calssification for topological insulators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_05487 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Chiral symmetry breaking and topological charge of graphene nanoribbons Lee, Hyun Cheol Yang, S. -R. Eric Mesoscale and Nanoscale Physics Materials Science Strongly Correlated Electrons Quantum Physics We explore the edge properties of rectangular graphene nanoribbons featuring two zigzag edges and two armchair edges. Although the self-consistent Hartree-Fock fields break chiral symmetry, our work demonstrates that graphene nanoribbons maintain their status as short-range entangled symmetry-protected topological insulators. The relevant symmetry involves combined mirror and time-reversal operations. In undoped ribbons displaying edge ferromagnetism, the band gap edge states with a topological charge form on the zigzag edges. An analysis of the anomalous continuity equation elucidates that this topological charge is induced by the gap term. In low-doped zigzag ribbons, where the ground state exhibits edge spin density waves, this topological charge appears as a nearly zero-energy edge mode. Our system is outside the conventional calssification for topological insulators. |
| title | Chiral symmetry breaking and topological charge of graphene nanoribbons |
| topic | Mesoscale and Nanoscale Physics Materials Science Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2312.05487 |