Abstract

Despite many decades of intense studies, graphite still surprises us by the richness of its electronic and optoelectronic properties. This is largely due to the van der Waals nature of its interlayer bonding coexisting with a substantial hybridization between the electronic states in the consecutive layers. In my talk, I will introduce some of the structures utilizing graphene, a single honeycomb layer of carbon, as a basic building block: from two-dimensional multilayer and twistronic graphene to three-dimensional Bernal and rhombohedral graphite. I will focus on how electronic coupling between the layers allows for engineering of the low-energy electronic properties of the resulting stacks, including formation of topological surface states in rhombohedral graphite. Motivated by this and the experimental breakthroughs in the fabrication of graphene stacks, I will then explore electronic properties of interfaces between semi-infinite crystals: systems with one foot in both the flatland of graphene and the bulk world of graphite. In particular, I will discuss how interfaces between rhombohedral graphite crystals might allow tracking of the transition between topologically non-trivial and trivial electronic phases.