Real and imaginary edge states in stacked Floquet honeycomb lattices

Alexander Fritzsche (), Bastian Höckendorf, Andreas Alvermann and Holger Fehske
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Alexander Fritzsche: Institut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität Würzburg
Bastian Höckendorf: Institut für Physik, Universität Greifswald, Felix-Hausdorff-Str. 6
Andreas Alvermann: Institut für Physik, Universität Greifswald, Felix-Hausdorff-Str. 6
Holger Fehske: Institut für Physik, Universität Greifswald, Felix-Hausdorff-Str. 6

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 8, 1-7

Abstract: 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

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1140/epjb/e2020-10233-0

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