- MRL 2053
- Special Physics Colloquium
Topological materials are characterized by robust physical signatures, like anomalous surface states, that are derived from the topological distinction between their ground states and those of their conventional counterparts. The research in these quantum materials has led to a new paradigm in condensed matter physics in which the synergy between topology, symmetry, and quantum entanglement plays a key role in our physical description of the systems. In this talk, I will describe two recent developments inspired by this paradigm. First, we will focus on how topological ideas help us modernize the nine-decade old theory of electronic band structures into a form well-suited for the efficient discovery of topological materials. Next, we will discuss how the notion of topological phases of matter could be generalized to out-of-equilibrium quantum dynamics, in which the anomalous edge can be described as a one-way quantum-information highway.