Wave functions of bosonic symmetry protected topological phases
Name
Xu-2013-Wave functions of bosonic.pdf
Size
853 KB
Format
Adobe PDF
Checksum (MD5)
196ef3ee6eda3ce58956177aba2678e7
Author(s)
Xu, Cenke
Todadri, Senthil
Date Issued
May 2013
Journal
Physical Review B
Publisher
American Physical Society
Citation
Xu, Cenke, and Senthil Todadri. “Wave Functions of Bosonic Symmetry Protected Topological Phases.” Phys. Rev. B 87, no. 17 (May 2013). ©2013 American Physical Society.
Version
Final published version
Abstract
We study the structure of the ground-state wave functions of bosonic symmetry protected topological (SPT) insulators in three space dimensions. We demonstrate that the differences with conventional insulators are captured simply in a dual vortex description. As an example, we show that a previously studied bosonic topological insulator with both global U(1) and time-reversal symmetry can be described by a rather simple wave function written in terms of dual “vortex ribbons.” The wave function is a superposition of all the vortex-ribbon configurations of the boson, and a factor (−1) is associated with each self-linking of the vortex ribbons. This wave function can be conveniently derived using an effective field theory of the SPT phase in the strong-coupling limit, and it naturally explains all the phenomena of this SPT phase discussed previously. The ground-state structure for other three-dimensional (3D) bosonic SPT phases are also discussed similarly in terms of vortex loop gas wave functions. We show that our methods reproduce known results on the ground-state structure of some 2D SPT phases.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevB.87.174412
