Topology of vibrational modes predict plastic events in glasses

Abstract

The plastic deformation of crystalline materials can be understood by considering their structural defects such as disclinations and dislocations. Although glasses are also solids, their structure resembles closely the one of a liquid and hence the concept of structural defects becomes ill-defined. As a consequence it is very challenging to rationalize on a microscopic level the mechanical properties of glasses close to the yielding point and to relate plastic events with structural properties. Here we investigate the topological characteristics of the eigenvector field of the vibrational excitations of a two-dimensional glass model, notably the geometric arrangement of the topological defects as a function of vibrational frequency. We find that if the system is subjected to a quasistatic shear, the location of the resulting plastic events correlate strongly with the topological defects that have a negative charge. Our results provide thus a direct link between the structure of glasses prior their deformation and the plastic events during deformation.

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• Stringlet Excitation Model of the Boson Peak
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• Phonons in stringlet-land and the boson peak
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• Properties of stable ensembles of Euclidean random matrices
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• Hedgehog topological defects in 3D amorphous solids
• Topological signatures of collective dynamics and turbulent-like energy cascades in apolar active granular
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• Graph-Dynamics correspondence in metallic glass-forming liquids
• Spotting structural defects in crystals from the topology of vibrational modes
• Emblems of pair density waves: dual identity of topological defects and their transport signatures
• Interpretability of linear regression models of glassy dynamics