Regensburg 2025 – scientific programme
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MA: Fachverband Magnetismus
MA 16: Topological Insulators (joint session MA/HL)
MA 16.1: Talk
Tuesday, March 18, 2025, 14:00–14:15, H16
Topological Hall effects on two-dimensional Archimedean lattices — •L.V. Duc Pham1,2, Nicki F. Hinsche2, and Ingrid Mertig2 — 1Fakultät für Chemie und Lebensmittelchemie, Technische Universität Dresden, Bergstraße 66c, 01062 Dresden, Germany — 2Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle (Saale), Germany
Archimedean lattices are a family of tilings in which the two-dimensional plane is filled with different regular polygons while maintaining the vertices configuration. Kagome, the most famous member of the Archimedean lattices familiy, was studied extensively in a wide variety of theoretical works. Another lattice of this type, the snub square lattice, was also used as an approximant for quasi crystals [1]. The rich geometry of these systems gives rise to various unconventional nano ribbon edge configurations and therewith various possible topological edge states. In this work, we calculate the band structures of all 8 pure Archimedean lattices using a tight-binding method including s and p orbitals and study topological properties of these lattices, such as topological edge states, the Z2 invariance and the quantum spin Hall conductivity within the Kubo formalism [2].
[1] Roy, Sumalay, et al. "The Kepler tiling as the oldest complex surface structure in history: X-ray structure analysis of a two-dimensional oxide quasicrystal approximant." Zeitschrift für Kristallographie-Crystalline Materials 231.12 (2016): 749-755
[2] Sinova, Jairo, et al. "Spin hall effects." Reviews of modern physics 87.4 (2015): 1213-1260
Keywords: Topological Insulators; Quantum spin Hall effect; Two-dimensional materials