Tracing the nonequilibrium topological state of Chern insulators

Abstract

Chern insulators exhibit fascinating properties which originate from the topologically nontrivial state characterized by the Chern number. How these properties change if the system is quenched between topologically distinct phases has however not been systematically explored. In this work, we investigate the quench dynamics of the prototypical massive Dirac model for topological insu- lators in two dimensions. We consider both dissipation-less dynamics and the effect of electron- phonon interactions, and ask how the transient dynamics and nonequilibrium steady states affect simple observables. Specifically, we discuss a time-dependent generalization of the Hall effect and the dichroism of the photoexcitation probability between left and right circularly polarized light. We present optimized schemes based on these observables, which can reveal the evolution of the topological state of the quenched system.

15 pages, 14 figures

References in corpus (16)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• An Aharonov-Bohm interferometer for determining Bloch band topology
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Simplified topological invariants for interacting insulators
• Tracking Cooper Pairs in a Cuprate Superconductor by Ultrafast Angle-Resolved Photoemission
• First order character and observable signatures of topological quantum phase transitions
• Photo-induced states in a Mott insulator
• Electron-phonon scattering in topological insulators
• Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
• Fingerprints of Inelastic Transport at the Surface of the Topological Insulator Bi2Se3: Role of Electron-Phonon Coupling
• Derivation of nonlinear single-particle equations via many-body Lindblad superoperators: A density-matrix approach
• Non-equilibrium Fractional Hall Response After a Topological Quench
• Revivals, collapses and magnetic-pulse generation in quantum rings
• Gauge theory of topological phases of matter