Symmetry-Protected Topological Orders in Interacting Bosonic Systems
Massachusetts Institute of Technology · University of California, Berkeley · +3 more institutions
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…
Citation impact
- FWCI
- 28.82
- Percentile
- 100%
- References
- 29
Authors
4- XCXie Chen
Massachusetts Institute of Technology, University of California, Berkeley
- ZGZheng‐Cheng Gu
University of California, Santa Barbara
- ZLZheng-Xin Liu
Massachusetts Institute of Technology, Tsinghua University
- XWXiao-Gang WenCorresponding
Perimeter Institute, Massachusetts Institute of Technology, Tsinghua University
Topics & keywords
- Physics
- Homogeneous space
- Degenerate energy levels
- Symmetry (geometry)
- Theoretical physics
- Topological insulator
- Gapless playback
- Symmetry protected topological order