Dynamic melting and condensation of topological dislocation modes

Abstract

Bulk dislocation lattice defects are instrumental in identifying translationally active topological insulators (TATIs), featuring band inversion at a finite momentum (${\mathbf{K}}_{\mathrm{inv}}$). As such, TATIs host robust gapless modes around the dislocation core, when the associated Burgers vector $\mathbf{b}$ satisfies ${\mathbf{K}}_{\mathrm{inv}}\cdot \mathbf{b}=\pi$ (modulo $2\pi$). From the time evolution of appropriate density matrices, we show that when a TATI via a real time ramp enters into a trivial or translationally inert topological insulating phase, devoid of gapless dislocation modes, the signatures of the preramp defect modes survive for a long time. More intriguingly, as the system ramps into a TATI phase from any translationally inert insulator, signature of the dislocation mode dynamically builds up near its core, which is prominent for slow ramps. We exemplify these generic outcomes for two-dimensional time-reversal symmetry breaking insulators. Proposed dynamic responses at the dislocation core can be experimentally observed in quantum crystals, optical lattices and metamaterials with time a tunable band gap.

Published version in PRB: 6 Pages, 4 Figures: Supplementary as Ancillary file

References in corpus (12)

• Topological Crystalline Insulators
• Topological Defects and Gapless Modes in Insulators and Superconductors
• The space group classification of topological band insulators
• Topology of crystalline insulators and superconductors
• Helical Metal Inside a Topological Band Insulator
• Topological indices, defects and Majorana fermion in chiral superconductors
• Non-Hermitian dislocation modes: Stability and melting across exceptional points
• Projected Topological Branes
• Embedded Topological Semimetals
• Topologically distinct atomic insulators
• Nontrivial gapless electronic states at the stacking faults of weak topological insulators
• Emergent metallicity at the grain boundaries of higher-order topological insulators

Cited by in corpus (2)

• Dispersive nodal fermions along grain boundaries in Floquet topological crystals
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases