Randall Kamien – University of Pennsylvania
Wednesday, October 29th, 2025
Zoom opens: 10:30AM DST
Seminar begins: 10:45AM DST
A new classification of dislocations and disclinations
Crystals and other condensed matter systems described by density waves often exhibit dislocations.
Here we show, by considering the topology of the ground state manifolds (GSMs) of such systems, that dislocations in the density phase field always split into disclinations, and that the disclinations themselves are constrained to sit at particular phase values in the GSM. This constraint on the location of the disclinations results in an energy barrier to dislocation glide. Consequently, the topology of the GSM alone gives rise to a Peierls–Nabarro barrier. If there is time I will also discuss more recent work on topological measures to distinguish screw and edge dislocations.