2018/11/30 by Yang Peng, Gil Refael · 2 citations
Mathematics · Physics and Astronomy · #Combinatorics #Floquet theory #Geometry #Hamiltonian (control theory) #Homogeneous space #Mathematics #Photorefractive and Nonlinear Optics #Physics #Quantum many-body systems #Quantum mechanics #Reflection symmetry #Symmetry (geometry) #Theoretical physics #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physrevlett.123.016806
published as Phys. Rev. Lett. 123, 016806 (2019) · 5 pages + supplemental material
arxiv created 2019/07/03 · openalex publication_date 2019/07/03 · arxiv updated 2019/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a systematic way of constructing Floquet second-order topological insulators (SOTIs) based on time-glide symmetry, a nonsymmorphic space-time symmetry that is unique in Floquet systems. In particular, we are able to show that the static enlarged Hamiltonian in the frequency domain acquires reflection symmetry, which is inherited from the time-glide symmetry of the original system. As a consequence, one can construct a variety of time-glide symmetric Floquet SOTIs using the knowledge of static SOTIs. Moreover, the time-glide symmetry only needs to be implemented approximately in practice, enhancing the prospects of experimental realizations. We consider two examples, a 2D system in class AIII and a 3D system in class A, to illustrate our ideas, and then present a general recipe for constructing Floquet SOTIs in all symmetry classes.