2016/03/31 by Rahul Roy, Fenner Harper · 17 citations
Chemistry · Mathematics · Physics and Astronomy · #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Floquet theory #Mathematics #Periodic table #Physics #Quantum many-body systems #Quantum mechanics #Theoretical physics #Topological Materials and Phenomena #Topological dynamics #Topological entropy in physics #Topological insulator #Topological quantum number #Topological tensor product #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.96.155118
published as Phys. Rev. B 96, 155118 (2017) · 16 pages, 2 tables, 2 figures; v2 includes minor changes/corrections and an improved Appendix E
arxiv created 2016/08/16 · openalex publication_date 2017/10/13 · arxiv updated 2017/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Periodically driven systems have recently been shown to host topological phases that are inherently dynamical in character, opening up a new arena in which to explore topological physics. One important group of such phases, known as Floquet topological insulators, arise in systems of free fermions and exhibit protected topological edge modes analogous to the edge modes of static topological insulators. In this work, the authors use methods from K theory to provide a complete topological classification of Floquet topological phases of this kind. The main result is a periodic table for Floquet topological insulators, which may be viewed as a time-dependent extension of the periodic table of topological insulators and superconductors originally introduced by Alexei Kitaev.