Quantized electric multipole insulators
Abstract
Computing the electric polarization of a crystal is surprisingly tricky, but it can be tackled with the help of a topological concept, the so-called Berry phase. Extensions to higher multiple moments, such as quadrupole and octupole, are even trickier. Benalcazar et al. built a theoretical framework for dealing with these moments in certain types of solids. In the presence of some crystalline symmetries, the quadrupole moment is quantized, and the corners of the system play host to fractionally charged, topologically protected states. These predictions may be testable in cold atom and photonic systems.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jul 07, 2017
- Source ID
- 10.1126/science.aah6442
Entities
People
- Andrei Bernevig
- Taylor L. Hughes
- Wladimir A Benalcazar
Organizations
- Alfred P. Sloan Foundation
- Army Research Office
- David and Lucile Packard Foundation
- National Oceanic and Atmospheric Administration
- National Science Foundation
- Office of Naval Research
- Princeton University
- Simons Foundation
- United States Department of Energy
- University of Illinois Urbana–Champaign