Adolfo Grushin - Quantum physics out of the Hat: graphene shadows, zero-modes and topology - Hatfest скачать в хорошем качестве

Adolfo Grushin - Quantum physics out of the Hat: graphene shadows, zero-modes and topology - Hatfest

In this talk I will discuss the physics of electrons propagating on the Hat. The electron’s energy as a function of its momentum displays striking similarities to that of graphene, but also striking differences. First, the electronic properties differ for the two mirror images of the tiling. Second, certain states have exactly zero energy; their number equals the number of flipped hats when the magnetic flux per tile is half of the flux quantum. Third, the Hat’s electronic spectrum is periodic in magnetic flux, unlike in typical quasicrystals. Additionally, I will show that arbitrary flux values lead to topologically protected boundary modes with universal conductance. To conclude, I will discuss possible experimental realisations of this physics in state-of-the-art experiments. A talk from Hatfest at the Mathematical Institute, University of Oxford. See https://sites.google.com/view/thegrimmnetw... for more information.