Anomalous Crystal Symmetry Fractionalization on the Surface of Topological Crystalline Insulators
Name
PhysRevLett.115.236801.pdf
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163.66 KB
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Author(s)
Qi, Yang
Fu, Liang
Date Issued
December 2015
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Qi, Yang, and Liang Fu. "Anomalous Crystal Symmetry Fractionalization on the Surface of Topological Crystalline Insulators." Phys. Rev. Lett. 115, 236801 (December 2015). © 2015 American Physical Society
Version
Final published version
Abstract
The surface of a three-dimensional topological electron system often hosts symmetry-protected gapless surface states. With the effect of electron interactions, these surface states can be gapped out without symmetry breaking by a surface topological order, in which the anyon excitations carry anomalous symmetry fractionalization that cannot be realized in a genuine two-dimensional system. We show that for a mirror-symmetry-protected topological crystalline insulator with mirror Chern number n = 4, its surface can be gapped out by an anomalous Z[subscript 2] topological order, where all anyons carry mirror-symmetry fractionalization M[superscript 2] = -1. The identification of such anomalous crystalline symmetry fractionalization implies that in a two-dimensional Z[subscript 2] spin liquid, the vison excitation cannot carry M[superscript 2] = -1 if the spinon carries M[superscript 2] = -1 or a half-integer spin.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.115.236801
