Crystalline topological phases as defect networks
Name
PhysRevB.99.115116.pdf
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958.49 KB
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Adobe PDF
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Author(s)
Thorngren, Ryan
Else, Dominic V
Date Issued
March 2019
Journal
Physical Review B
Publisher
American Physical Society
Citation
Else, Dominic V. and Ryan Thorngren. "Crystalline topological phases as defect networks." Physical Review B 99, 11 (March 2019): 115116 © 2019 American Physical Society
Version
Final published version
Abstract
A crystalline topological phase is a topological phase with spatial symmetries. In this work, we give a very general physical picture of such phases: A topological phase with spatial symmetry G (with internal symmetry G[subscript int] ≤ G) is described by a defect network, a G-symmetric network of defects in a topological phase with internal symmetry G[subscript int]. The defect network picture works both for symmetry-protected topological (SPT) and symmetry-enriched topological (SET) phases, in systems of either bosons or fermions. We derive this picture both by physical arguments and by a mathematical derivation from the general framework of Thorngren and Else [Phys. Rev. X 8, 011040 (2018)2160-330810.1103/PhysRevX.8.011040]. In the case of crystalline SPT phases, the defect network picture reduces to a previously studied dimensional reduction picture, thus establishing the equivalence of this picture with the general framework of Thorngren and Else applied to crystalline SPTs.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.99.115116
