Healing of a Topological Scar: Coordination Defects in a Honeycomb Lattice

Fuente: arXiv
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Main Authors: Katz, Benjamin N, Crespi, Vincent
Format: Preprint
Published: 2023
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author Katz, Benjamin N
Crespi, Vincent
author_facet Katz, Benjamin N
Crespi, Vincent
contents A crystal structure with a point defect typically returns to its ideal local structure upon moving a few bond lengths away from the defect; topological defects such as dislocations or disclinations also heal rapidly in this regard. Here we describe a simple point defect -- a two-fold atom incorporated at the growth edge of a 2D hexagonal honeycomb material -- whose healing may require a defect complex with 50 or more atoms. $\textit{Topologically}$ the two-fold atom disappears into a single 'long bond' between its neighbors, thereby inducing a pentagonal disclination. However, $\textit{chemically}$ this disclination occupies as much physical space as a six-fold ring. This incompatibility of chemistry and topology can cause a ''ringing'' of the Gaussian curvature that creates an expansive healing region and may even spawn a semi-infinite grain boundary propagating outwards from the topological scar.
format Preprint
id arxiv_https___arxiv_org_abs_2305_12246
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Healing of a Topological Scar: Coordination Defects in a Honeycomb Lattice
Katz, Benjamin N
Crespi, Vincent
Materials Science
A crystal structure with a point defect typically returns to its ideal local structure upon moving a few bond lengths away from the defect; topological defects such as dislocations or disclinations also heal rapidly in this regard. Here we describe a simple point defect -- a two-fold atom incorporated at the growth edge of a 2D hexagonal honeycomb material -- whose healing may require a defect complex with 50 or more atoms. $\textit{Topologically}$ the two-fold atom disappears into a single 'long bond' between its neighbors, thereby inducing a pentagonal disclination. However, $\textit{chemically}$ this disclination occupies as much physical space as a six-fold ring. This incompatibility of chemistry and topology can cause a ''ringing'' of the Gaussian curvature that creates an expansive healing region and may even spawn a semi-infinite grain boundary propagating outwards from the topological scar.
title Healing of a Topological Scar: Coordination Defects in a Honeycomb Lattice
topic Materials Science
url https://arxiv.org/abs/2305.12246