New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic
Name
PhysRevB.91.161105.pdf
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355.69 KB
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Adobe PDF
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Author(s)
Fang, Chen
Fu, Liang
Date Issued
April 2015
Journal
Physical Review B
Publisher
American Physical Society
Citation
Fang, Chen, and Liang Fu. "New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic." Phys. Rev. B 91, 161105 (April 2015). © 2015 American Physical Society
Version
Final published version
Abstract
We theoretically predict two new classes of three-dimensional topological crystalline insulators (TCIs), which have an odd number of unpinned surface Dirac cones protected by crystal symmetries. The first class is protected by a single nonsymmorphic glide plane symmetry; the second class is protected by a composition of a twofold rotation and time-reversal symmetry (a magnetic group symmetry). Both classes of TCIs are characterized by a quantized π-Berry phase associated with surface states and a Z[subscript 2] topological invariant associated with the bulk bands. In the presence of disorder, these TCI surface states are protected against localization by the average crystal symmetries, and exhibit critical conductivity in the universality class of the quantum Hall plateau transition. These new TCIs exist in time-reversal-breaking systems with or without spin-orbital coupling, and their material realizations are discussed.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.91.161105
