Anomalous and normal dislocation modes in Floquet topological insulators

Abstract

Electronic bands featuring nontrivial bulk topological invariant manifest through robust gapless modes at the boundaries, e.g., edges and surfaces. As such this bulk-boundary correspondence is also operative in driven quantum materials. For example, a suitable periodic drive can convert a trivial insulator into a Floquet topological insulator (FTI) that accommodates nondissipative dynamic gapless modes at the interfaces with vacuum. Here we theoretically demonstrate that dislocations, ubiquitous lattice defects in crystals, can probe FTIs as well as unconventional $\pi$-trivial insulator in the bulk of driven quantum systems by supporting normal and anomalous modes, localized near the defect core. Respectively, normal and anomalous dislocation modes reside at the Floquet zone center and boundaries. We exemplify these outcomes specifically for two-dimensional (2D) Floquet Chern insulator and $p_x+i{p}_y$ superconductor, where the dislocation modes are respectively constituted by charged and neutral Majorana fermions. Our findings should be therefore instrumental in probing Floquet topological phases in the state-of-the-art experiments in driven quantum crystals, cold atomic setups, and photonic and phononic metamaterials through bulk topological lattice defects.

8 Pages and 5 Figures (Supplementary Information as Ancillary File)

References in corpus (10)

• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Topological Defects and Gapless Modes in Insulators and Superconductors
• The space group classification of topological band insulators
• Helical Metal Inside a Topological Band Insulator
• Realization of an anomalous Floquet topological system with ultracold atoms
• Experimental discovery of bulk-disclination correspondence
• Effective Theory of Floquet Topological Transitions
• Topological indices, defects and Majorana fermion in chiral superconductors
• Dislocation as a bulk probe of higher-order topological insulators

Cited by in corpus (35)

• Dislocation as a bulk probe of higher-order topological insulators
• Floquet topological phase transitions in a periodically quenched dimer
• Non-Hermitian dislocation modes: Stability and melting across exceptional points
• Floquet Weyl semimetal phases in light-irradiated higher-order topological Dirac semimetals
• Floquet Second Order Topological Superconductor based on Unconventional Pairing
• Systematic generation of the cascade of anomalous dynamical first and higher-order modes in Floquet topological insulators
• Floquet engineering of magnetic topological insulator MnBi${}_2$Te${}_4$ films
• Light-induced half-quantized Hall effect and axion insulator
• Topological characterization and stability of Floquet Majorana modes in Rashba nanowire
• Generation of higher-order topological insulators using periodic driving
• Projected Topological Branes
• Engineering anomalous Floquet Majorana modes and their time evolution in helical Shiba chain
• Embedded Topological Semimetals
• Dynamics of fluctuation correlation in periodically driven classical system
• Topologically distinct atomic insulators
• Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice
• Time evolution of Majorana corner modes in Floquet second-order topological superconductor
• Anomalous Floquet Phases. A resonance phenomena
• Emergent metallicity at the grain boundaries of higher-order topological insulators
• Josephson current signature of Floquet Majorana and topological accidental zero modes in altermagnet heterostructures
• Grain-boundary topological superconductor
• Floquet Amorphous Topological Orders in a One-dimensional Rydberg Glass
• Hybrid symmetry class topological insulators
• Fano resonances for tilted linear and quadratic band touching dispersions in a harmonically driven potential well
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• Dynamic melting and condensation of topological dislocation modes
• Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
• Optically Controlled Topological Phases in the Deformed $\alpha -T_3$ Lattice
• Dispersive nodal fermions along grain boundaries in Floquet topological crystals
• Statistical prethermalization in randomly kicked many-body classical rotor system
• Fragile dislocation modes in obstructed atomic topological phases
• Emergent topological phases in an extended Su-Schrieffer-Heeger model with Rashba spin-orbit interaction, higher order hopping and domain wall
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Floquet second-order topological insulator in strained graphene
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model