Microscopic origin of shear bands in 2D amorphous solids from topological defects

Abstract: The formation of shear bands in amorphous solids such as glasses has remained an open question in our understanding of condensed matter and amorphous materials. Unlike in crystals, well-defined topological defects such as dislocations have been elusive due to the lack of a periodic ordered background at the atomic level. Recently, topological defects have been identified in the displacement field and in the eigenvectors of amorphous solids. Recent work has suggested that shear bands in amorphous solids coincide with an alignment of vortex-antivortex dipoles, with alternating topological charge +1/-1. Here we numerically confirm this hypothesis by means of well-controlled simulations in 2D. Surprisingly, we show that a chain of topological defects (TDs) pre-exists the shear band and is visible already in the non-affine displacement field of the elastic regime. This chain is activated into a flow band concomitantly with the disappearance and possibly annihilation of a dipole at a distance from the TDs chain. The possible underlying mechanism is reminiscent of a soliton-like rarefaction pulse remotely activated by dipole annihilation as observed in superfluid Bose-Einstein condensates.