2020/08/01 by Alexander Fritzsche, Bastian Höckendorf, Andreas Alvermann +1
Physics and Astronomy · #Amplitude #Enhanced Data Rates for GSM Evolution #Floquet theory #Lattice (music) #Nonlinear Photonic Systems #Photonics #Quantum Mechanics and Non-Hermitian Physics #Symmetry (geometry) #The Imaginary #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1140/epjb/e2020-10233-0
published as Eur. Phys. J. B, (2020) 93:151
openalex publication_date 2020/08/01 · openalex created_date 2020/08/10 · arxiv created 2020/08/22 · arxiv updated 2020/08/25 · openalex updated_date 2026/08/05
Abstract We present a non-Hermitian Floquet model with topological edge states in real and imaginary band gaps. The model utilizes two stacked honeycomb lattices which can be related via four different types of non-Hermitian time-reversal symmetry. Implementing the correct time-reversal symmetry provides us with either two counterpropagating edge states in a real gap, or a single edge state in an imaginary gap. The counterpropagating edge states allow for either helical or chiral transport along the lattice perimeter. In stark contrast, we find that the edge state in the imaginary gap does not propagate. Instead, it remains spatially localized while its amplitude continuously increases. Our model is well-suited for realizing these edge states in photonic waveguide lattices. Graphical abstract