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Autores principales: Minamitani, Emi, Nakamura, Takenobu, Obayashi, Ippei, Mizuno, Hideyuki
Formato: Preprint
Publicado: 2024
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Acceso en línea:https://arxiv.org/abs/2407.17707
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author Minamitani, Emi
Nakamura, Takenobu
Obayashi, Ippei
Mizuno, Hideyuki
author_facet Minamitani, Emi
Nakamura, Takenobu
Obayashi, Ippei
Mizuno, Hideyuki
contents Understanding how atomic-level structures govern the mechanical properties of amorphous materials remains a fundamental challenge in solid-state physics. Under mechanical loading, amorphous materials exhibit simple affine and spatially inhomogeneous nonaffine displacements that contribute to the elastic modulus through the Born (affine) and nonaffine terms, respectively. The differences between soft local structures characterized by small Born terms or large nonaffine displacements have yet to be elucidated. This challenge is particularly complex in covalent amorphous materials such as silicon, where the medium-range order (MRO) plays a crucial role in the network structure. To address these issues, we combined molecular dynamics simulations with persistent homology analysis. Our results reveal that local structures with small Born terms are governed by short-range characteristics, whereas those with large nonaffine displacements exhibit hierarchical structures in which short-range disorder is embedded within the MRO. These hierarchical structures are also strongly correlated with low-energy localized vibrational excitations. Our findings demonstrate that the mechanical responses and dynamic properties of covalent amorphous materials are intrinsically linked to the MRO, providing a new framework for understanding and tailoring their properties.
format Preprint
id arxiv_https___arxiv_org_abs_2407_17707
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Persistent homology elucidates hierarchical structures responsible for mechanical properties in covalent amorphous solids
Minamitani, Emi
Nakamura, Takenobu
Obayashi, Ippei
Mizuno, Hideyuki
Materials Science
Understanding how atomic-level structures govern the mechanical properties of amorphous materials remains a fundamental challenge in solid-state physics. Under mechanical loading, amorphous materials exhibit simple affine and spatially inhomogeneous nonaffine displacements that contribute to the elastic modulus through the Born (affine) and nonaffine terms, respectively. The differences between soft local structures characterized by small Born terms or large nonaffine displacements have yet to be elucidated. This challenge is particularly complex in covalent amorphous materials such as silicon, where the medium-range order (MRO) plays a crucial role in the network structure. To address these issues, we combined molecular dynamics simulations with persistent homology analysis. Our results reveal that local structures with small Born terms are governed by short-range characteristics, whereas those with large nonaffine displacements exhibit hierarchical structures in which short-range disorder is embedded within the MRO. These hierarchical structures are also strongly correlated with low-energy localized vibrational excitations. Our findings demonstrate that the mechanical responses and dynamic properties of covalent amorphous materials are intrinsically linked to the MRO, providing a new framework for understanding and tailoring their properties.
title Persistent homology elucidates hierarchical structures responsible for mechanical properties in covalent amorphous solids
topic Materials Science
url https://arxiv.org/abs/2407.17707