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Wavefronts Dislocations Measure Topology in Graphene with Defects

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arxiv 2307.05185 v1 pith:SCLAZQF5 submitted 2023-07-11 cond-mat.mes-hall

Yuval Abulafia , Amit Goft , Nadav Orion , Eric Akkermans This is my paper · ORCID
classification cond-mat.mes-hall
keywords topologicaldefectsboldsymboldeltagrapheneleftnumberspattern
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abstract

We present a general method to identify topological materials by studying the local electronic density $\delta \rho \left(\boldsymbol{r}\right)$. More specifically, certain types of defects or spatial textures such as vacancies, turn graphene into a topological material characterised by invariant Chern or winding numbers. We show that these numbers are directly accessible from a dislocation pattern of $\delta \rho \left(\boldsymbol{r}\right)$, resulting from an interference effect induced by topological defects. For non topological defects such as adatoms, this pattern is scrambled by Friedel oscillations absent in topological cases. A Kekule distortion is discussed and shown to be equivalent to a vacancy.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice

    cond-mat.mes-hall 2026-07 conditional novelty 6.0 of 10

    A single vacancy in an anisotropic honeycomb lattice carries winding number ∓1 below t'/t=2 and exactly 0 at and above t'/t=2, a topological phase transition driven by Dirac-valley annihilation.

  2. Defects Potentials for Two-Dimensional Topological Materials

    cond-mat.mes-hall 2025-07 conditional novelty 6.0 of 10

    A vacancy in graphene induces a nonzero analytical index and a single topological zero mode, while an adatom produces none, with distinct local density signatures.

  3. Detecting the topological winding of superconducting nodes via Local Density of States

    cond-mat.supr-con 2024-12 conditional novelty 6.0 of 10

    Impurity-induced density ripples in a nodal superconductor carry a vortex whose integer vorticity equals the topological winding difference of the wavefunctions at the two connected nodes, under explicit conditions on...

  4. Local Defects and the Topology of the Haldane Model

    cond-mat.mes-hall 2026-07 accept novelty 5.0 of 10

    Vacancies in the Haldane model host Z2-protected zero modes when sublattice imbalance is odd, with three signatures that distinguish them from trivial adatom defects.

  5. Engineering Topological Materials

    cond-mat.mes-hall 2025-08 conditional novelty 4.0 of 10

    Localized defects with a designed phase winding can shift a Dirac material into a topological class, e.g. from BDI to BDI or CII, generating zero modes.

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