Three dimensional two-band Floquet topological insulator with Z₂ index

2019/01/27 by Yan He, Chih-Chun Chien · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.other

paper · pdf · doi:10.1103/physrevb.99.075120

published as Physical Review B 99, 075120 (2019) · 10 pages, 4 figures, submitted

arxiv created 2019/01/27 · arxiv updated 2019/02/18

Abstract

We present a class of three dimensional (3D) two-band Floquet topological insulators constructed from two-dimensional Floquet topological insulators with a Z topological index. It is shown that the 3D two-band Floquet topological insulator has a Z₂ topological index, whose value can be obtained by numerical calculations or by using a relation to the winding number. The classification of the 3D Z₂ Floquet topological insulator, however, cannot be attributed to the stable homotopy groups. Thus, it is an example outside the proposed K-theory classifications of Floquet topological insulators. We also analyze the edge modes of the 3D Z₂ Floquet topological insulator and find the parity of the number of edge modes reflects the bulk Z₂ index.

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