Topological band theory studies the behavior of non-interacting electrons in solids that is protected by topological invariants and is therefore robust against system perturbations. Among many topics that are important for characterizing topological …
The physics of negatively curved (hyperbolic) geometry has experienced a large resurgence of interest in recent years, both theoretically and experimentally. Although hyperbolic spaces constitute a fundamental ingredient in theoretical studies of …
Topological semimetals are characterized by topologically protected band-structure nodes. One prominent example is the Weyl semimetal, characterized by Weyl points carrying topological Chern numbers. In this dissertation, we explore the topology of …