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The Hat tiling, discovered in March this year, is the culmination of decades of mathematical research in aperiodic tilings. Unlike other quasicrystals, such as the Penrose tiling, it requires only a single type of tile to be assembled, the hat tile. In this talk I will discuss the physics of electrons propagating on the Hat, focusing on similarities and differences compared to crystalline and quasicrystalline electronic properties. I will discuss how the electrons propagating in this tiling, with and without magnetic field, lie at the interface between crystals and quasicrystalline electronic properties, a direct consequence of its monotile nature. To conclude, I will discuss possible experimental realisations of this physics in state-of-the-art experiments.

Please register at this doodle if you want to join for the pizza!

Location: Stuckelberg, Ecole de Physique
Time: Friday 15 December 2023, 12:00 for pizza, 12:30 start discussion