Defects Potentials for Two-Dimensional Topological Materials
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908430159052800 |
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| author | Abulafia, Yuval Goft, Amit Orion, Nadav Akkermans, Eric |
| author_facet | Abulafia, Yuval Goft, Amit Orion, Nadav Akkermans, Eric |
| contents | For non-topological quantum materials, introducing defects can significantly alter their properties by modifying symmetry and generating a nonzero analytical index, thus transforming the material into a topological one. We present a method to construct the potential matrix configuration with the purpose of obtaining a non-zero analytical index, akin to a topological invariant like a winding or Chern number. We establish systematic connections between these potentials, expressed in the continuum limit, and their initial tight-binding model description. We apply our method to graphene with an adatom, a vacancy, and both as key examples illustrating our comprehensive description. This method enables analytical differentiation between topological and non-topological zero-energy modes and allows for the construction of defects that induce topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_01530 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Defects Potentials for Two-Dimensional Topological Materials Abulafia, Yuval Goft, Amit Orion, Nadav Akkermans, Eric Mesoscale and Nanoscale Physics For non-topological quantum materials, introducing defects can significantly alter their properties by modifying symmetry and generating a nonzero analytical index, thus transforming the material into a topological one. We present a method to construct the potential matrix configuration with the purpose of obtaining a non-zero analytical index, akin to a topological invariant like a winding or Chern number. We establish systematic connections between these potentials, expressed in the continuum limit, and their initial tight-binding model description. We apply our method to graphene with an adatom, a vacancy, and both as key examples illustrating our comprehensive description. This method enables analytical differentiation between topological and non-topological zero-energy modes and allows for the construction of defects that induce topology. |
| title | Defects Potentials for Two-Dimensional Topological Materials |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2507.01530 |