SKM 2023 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 17: Topology: Quantum Hall Systems

TT 17.4: Vortrag

Montag, 27. März 2023, 17:45–18:00, HSZ 304

Topological properties of a two-dimensional non-symmorphic wallpaper group lattice — •Miguel Ángel Jiménez Herrera¹ and Dario Bercioux^1,2 — ¹Donostia International Physics Center, 20018 San Sebastian, Spain — ²IKERBASQUE, Basque Foundation for Science, Euskadi Plaza, 5, 48009 Bilbao, Spain

We investigate the topological spectral properties of a two-dimensional electronic lattice belonging to a non-symmorphic wallpaper group: the herringbone lattice. We induce the topological phase either by applying an external magnetic field perpendicular to the plane of the lattice, and by enabling spin-orbit coupling of Kane-Mele type. On the one hand, when applying a magnetic field, the bands of the lattice rearrange into Landau levels. The phase diagram of the system shows a fractal disposition of the band gaps, known as the Hofstadter butterfly. Each gap is characterized by a non-zero Chern number whose distribution follows the Diophantine equation. On the other hand, we study the effects of enabling spin-orbit coupling in the lattice. We study both bulk and ribbon geometry, to reveal the helical states appearing at the edges of the ribbon, arising from the topological properties of the bulk.