Topological Defects in Amorphous Solids

Fuente: arXiv
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Main Authors: Baggioli, Matteo, Falk, Michael L., Kob, Walter
Format: Preprint
Published: 2026
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author Baggioli, Matteo
Falk, Michael L.
Kob, Walter
author_facet Baggioli, Matteo
Falk, Michael L.
Kob, Walter
contents Topological defects (TDs) are crucial for understanding important physical properties of crystalline materials including mechanical failure, ion transport, and two-dimensional melting. This concept has not translated to disordered materials like glasses because these solids have no obvious reference structure that can be used to define TDs. As a result, key properties related to those listed above have typically been modeled using purely phenomenological approaches. Recent studies have demonstrated that certain observables commonly associated with TDs can also be identified in disordered solids indicating that topological concepts may be as crucial in amorphous solids as in crystals. This hints that TDs may offer a first-principles framework for understanding their mechanical response and complex spatiotemporal dynamics. In this Perspective, we review recent theoretical, numerical, and experimental studies that have exploited topological concepts to rationalize mechanical properties of amorphous solids. We also highlight pressing open questions and some promising directions for future research in the field.
format Preprint
id arxiv_https___arxiv_org_abs_2604_07061
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Topological Defects in Amorphous Solids
Baggioli, Matteo
Falk, Michael L.
Kob, Walter
Materials Science
Disordered Systems and Neural Networks
Mesoscale and Nanoscale Physics
Soft Condensed Matter
Statistical Mechanics
Topological defects (TDs) are crucial for understanding important physical properties of crystalline materials including mechanical failure, ion transport, and two-dimensional melting. This concept has not translated to disordered materials like glasses because these solids have no obvious reference structure that can be used to define TDs. As a result, key properties related to those listed above have typically been modeled using purely phenomenological approaches. Recent studies have demonstrated that certain observables commonly associated with TDs can also be identified in disordered solids indicating that topological concepts may be as crucial in amorphous solids as in crystals. This hints that TDs may offer a first-principles framework for understanding their mechanical response and complex spatiotemporal dynamics. In this Perspective, we review recent theoretical, numerical, and experimental studies that have exploited topological concepts to rationalize mechanical properties of amorphous solids. We also highlight pressing open questions and some promising directions for future research in the field.
title Topological Defects in Amorphous Solids
topic Materials Science
Disordered Systems and Neural Networks
Mesoscale and Nanoscale Physics
Soft Condensed Matter
Statistical Mechanics
url https://arxiv.org/abs/2604.07061