Periodic table for Floquet topological insulators

By Rahul Roy, Fenner Harper. 2016

291 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/e01d569a75e4c196df87969d978c3544b9917ebf

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Symmetry and Topology in Non-Hermitian Physics (2018, background): “(35) [122, 227], and hence topology of H (k) can also be captured by the extended Hermitian Hamiltonian H̃ (k).”
Topological Phases of Non-Hermitian Systems (2018, methodology): “We introduce a unitarization procedure as a non-Hermitian generalization of band flattening, followed by a Hermitianization procedure to represent the classifying space as a Cliffordalgebra extension [61].”
Perspective on topological states of non-Hermitian lattices (2019, methodology): “This is the case of the doubled Hamiltonian approach mentioned earlier for non-Hermitian systems has been used earlier for Floquet symmetry protected topological phases [150].”