Affiliation:
1. Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana–Champaign, IL 61801, USA.
2. Department of Physics, Princeton University, Princeton, NJ 08544, USA.
Abstract
Corner-dwelling topological states
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.
Science
, this issue p.
61
Funder
National Science Foundation
Office of Naval Research
David and Lucile Packard Foundation
U.S. Department of Energy
Army Research Office
National Oceanic and Atmospheric Administration
Alfred P. Sloan Foundation
Simons Foundation
Publisher
American Association for the Advancement of Science (AAAS)
Cited by
1460 articles.
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