Continuous bulk and interface description of topological insulators
Abstract
We analyze the topological properties of systems of Dirac equations in the presence of heterogeneities to model transport in topological insulators. The topology is described by means of indices of Fredholm operators. We describe bulk and interface topological invariants first for two-dimensional materials, which find practical applications, and then in arbitrary dimensions. In the two-dimensional setting, we relate the interface invariant to a physical observable describing asymmetric current along the interface.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Aug 01, 2019
- Source ID
- 10.1063/1.5086312
Entities
People
- Guillaume Bal
Organizations
- National Science Foundation
- Office of Naval Research
- University of Chicago