Universal symmetry-protected topological invariants for symmetry-protected topological states
Name
Hung-2014-Universal symmetry-protected topological.pdf
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711.71 KB
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Author(s)
Hung, Ling-Yan
Wen, Xiao-Gang
Date Issued
February 2014
Journal
Physical Review B
Publisher
American Physical Society
Citation
Hung, Ling-Yan, and Xiao-Gang Wen. “Universal Symmetry-Protected Topological Invariants for Symmetry-Protected Topological States.” Phys. Rev. B 89, no. 7 (February 2014). © 2014 American Physical Society
Version
Final published version
Abstract
Symmetry-protected topological (SPT) states are short-range entangled states with a symmetry G. They belong to a new class of quantum states of matter which are classified by the group cohomology H[superscript d+1](G,R/Z) in d-dimensional space. In this paper, we propose a class of symmetry-protected topological invariants that may allow us to fully characterize SPT states with a symmetry group G [i.e., allow us to measure the cocycles in H[superscript d+1](G,R/Z) that characterize the SPT states]. We give an explicit and detailed construction of symmetry-protected topological invariants for 2+1D SPT states. Such a construction can be directly generalized to other dimensions.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.89.075121
