Regensburg 2025 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 4: Topological Insulators

TT 4.9: Talk

Monday, March 17, 2025, 11:45–12:00, H33

Topological phases of arbitrary numbers of coupled Su-Schrieffer-Heeger wires — •Anas Abdelwahab — Leibniz Univesität Hannover, Institut für Theoretische Physik, Hannover

The phase diagrams of arbitrary number N_w of Su-Schrieffer-Heeger (SSH) wires have been identified, with respect to the dimerization and the single particle wire-wire coupling, where the latter is either perpendicular or diagonal between adjacent wires. Even number of perpendicularly coupled wires exhibit either gapless or trivial topological phases. Odd number of perpendicularly coupled wires can exhibit gapless, trivial or nontrivial topological phases with winding number w=1. The diagonally coupled wires reveal topological phases with winding numbers in the range 0 ≤ w ≤ N_w. The critical lines in their phase diagrams can reveal topological critical phases [1]. Each band of the diagonally coupled wires becomes a comletely flat band at specific lines in the phase diagram. The presence of W states [2] at the edges of coupled SSH wires with open boundary conditions will be dicussed.

[1] R.Verresen, R.Thorngren, N.G.Jones,F.Pollmann, Phys. Rev. X, 120, 057001 (2018).
[2] W.Dür, G.Vidal, J.I.Cirac, Phys. Rev. A 62, 062314 (2000).

Keywords: Coupled Su-Schrieffer-Heeger wires; Topological Phases; Topological critical phases; Flat bands