Seminarium Fizyki Materii Skondensowanej

Recent years have seen the complete classification of topological band structures, revealing an abundance of topological crystalline insulators. In this talk, I will theoretically demonstrate the existence of topological phases beyond this framework, protected by quasicrystalline symmetries. In particular, I will show how to construct a higher-order topological phase protected by a point group symmetry that is impossible in any crystalline system. Moreover, I will discuss the properties of this model, such as its bulk invariant and Majorana corner states.