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• W2895789785 abstract "Topological phases of matter have attracted much attention over the years. Motivated by analogy with photonic lattices, here we examine the edge states of a one-dimensional trimer lattice in the phases with and without inversion symmetry protection. In contrast to the Su-Schrieffer-Heeger model, we show that the edge states in the inversion-symmetry broken phase of the trimer model turn out to be chiral, i.e., instead of appearing in pairs localized at opposite edges they can appear at a $textit{single}$ edge. Interestingly, these chiral edge states remain robust to large amounts of disorder. In addition, we use the Zak phase to characterize the emergence of degenerate edge states in the inversion-symmetric phase of the trimer model. Furthermore, we capture the essentials of the whole family of trimers through a mapping onto the commensurate off-diagonal Aubry-Andr'e-Harper model, which allow us to establish a direct connection between chiral edge modes in the two models, including the calculation of Chern numbers. We thus suggest that the chiral edge modes of the trimer lattice have a topological origin inherited from this effective mapping. Also, we find a nontrivial connection between the topological phase transition point in the trimer lattice and the one in its associated two-dimensional parent system, in agreement with results in the context of Thouless pumping in photonic lattices." @default.
• W2895789785 created "2018-10-26" @default.
• W2895789785 creator A5014117866 @default.
• W2895789785 creator A5018885109 @default.
• W2895789785 date "2019-01-22" @default.
• W2895789785 modified "2023-09-30" @default.
• W2895789785 title "Edge states in trimer lattices" @default.
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• W2895789785 doi "https://doi.org/10.1103/physreva.99.013833" @default.
• W2895789785 hasPublicationYear "2019" @default.
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