• Corpus ID: 119083878

Higher-Order Floquet Topological Insulators with Anomalous Corner States

@article{Huang2018HigherOrderFT,
  title={Higher-Order Floquet Topological Insulators with Anomalous Corner States},
  author={Biao Huang and W. Vincent Liu},
  journal={arXiv: Strongly Correlated Electrons},
  year={2018}
}

• Biao Huang, W. Liu
• Published 1 November 2018
• Physics
• arXiv: Strongly Correlated Electrons

Higher order topological insulators have emerged as a new class of phases, whose robust in-gap "corner" modes arise from the bulk higher-order multipoles beyond the dipoles in conventional topological insulators. Despite rapid theoretical and experimental breakthroughs, all discussions have been constrained to the static scenario due to the lack of specific schemes to compute higher-order dynamical topological invariant. Here we provide a concrete model and explicit constructions of topological invariants for a Floquet-driven system exhibiting anomalous corner states. The bulk quadrupolar moment for the eigenstates of static Floquet operators vanishes identically, while the anomalous topological invariant associated with full-time evolution correctly describes the quantized corner charges. The signature of such a phase in cold atom experiments is discussed through corner particle dynamics and a Floquet-Bloch band tomography.