Symmetry-Protected Topological Orders in Interacting Bosonic Systems
Name
1301.0861.pdf
Description
Accepted version
Size
936 KB
Format
Adobe PDF
Checksum (MD5)
05e3580b4cec182c4ebdbd08a98cce1e
Author(s)
Chen, X
Gu, Z-C
Liu, Z-X
Wen, X-G
Date Issued
2012
Journal
Science
Publisher
American Association for the Advancement of Science (AAAS)
Citation
Chen, X., et al. "Symmetry-Protected Topological Orders in Interacting Bosonic Systems." Science 338 6114 (2012): 1604-06.
Version
Author's final manuscript
Abstract
Symmetry-protected topological (SPT) phases are bulk-gapped quantum phases with symmetries, which have gapless or degenerate boundary states as long as the symmetries are not broken. The SPT phases in free fermion systems, such as topological insulators, can be classified; however, it is not known what SPT phases exist in general interacting systems. We present a systematic way to construct SPT phases in interacting bosonic systems. Just as group theory allows us to construct 230 crystal structures in three-dimensional space, we use group cohomology theory to systematically construct different interacting bosonic SPT phases in any dimension and with any symmetry, leading to the discovery of bosonic topological insulators and superconductors.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1126/science.1227224
