Topological Crystalline Responses in Gapped and Gapless Systems
Taylor Hughes
University of Illinois
Wednesday, September 18, 2024
11:00 a.m.
In-person: QNC 1101
Abstract: Topological phases protected by crystalline symmetry are ubiquitous in nature. In the past decade, new classification schemes have identified thousands of candidate crystalline materials. The set of relevant systems includes topological insulators, topological semimetals, and even symmetry-enriched topological order. Even with such amazing progress we are left with the problems of trying to find probes that detect the topology, and then eventually trying to use the topological phenomena in robust applications. In this talk I will discuss a family of interconnected topological crystalline responses, and discuss the conditions for their appearance in materials. Along the way we will discuss new types of chirality, anomalies, and response coefficients. The phenomena we discuss are relevant for realizations in both metamaterials and quantum, solid-state materials.