Berlin 2024 – scientific programme

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O: Fachverband Oberflächenphysik

O 40: Poster: Topological Materials

O 40.2: Poster

Tuesday, March 19, 2024, 18:00–20:00, Poster D

Topological edge states in quasi-one-dimensional systems — •Bogdan Stanojević and Saša Dmitrović — University of Belgrade Faculty of Physics, Belgrade, Serbia

Robust topological edge states (TESs) of crystalline materials are of great interest, both from the fundamental and application-driven point of view. These states, protected by the lattice symmetry, have been theoretically predicted in 1D inversion symmetric chain [1], as well as in 2D crystals with symmetries p2, p3, and pmm [2]. Here, the analysis is generalized to all quasi-1D (Q1D) systems. These materials are translationally or helically periodic along only one axis, with their symmetry group belonging to one of the thirteen infinite families of line groups (LGs) [3]. Here we consider only time reversal symmetrical Q1D systems. As the full symmetry group of such a system is described by one of the grey LGs, recently derived complete sets of elementary band co-representations (co-EBRs) of grey LG [4], enable the search for TESs: for the system of chosen symmetry, the analytical continuation of distinct elementary band structures at the edges of the irreducible domain singles out possible robust TESs. The results are illustrated on several tight-binding models developed within PythTB package [5].

[1] J. Zak, Phys. Rev. B 32, 2218 (1985). [2] A. Silva, J. van Wezel, SciPost Phys. 10, 137 (2021). [3] M. Damnjanović and I. Milošević, Line Groups in Physics: Theory and Applications to Nanotubes and Polymers (Lecture Notes in Physics vol 801), (Berlin: Springer) (2010). [4] S. Dmitrović S et al., J. Phys. A: Math. Theor. 55 385201 (2022). [5] https://www.physics.rutgers.edu/pythtb/

Keywords: topological crystalline insulator; line groups; elementary band co-representations; robust topological edge states