Theory of interacting topological crystalline insulators
Name
PhysRevB.92.081304.pdf
Size
158.84 KB
Format
Adobe PDF
Checksum (MD5)
5ee55ce719d68e1227fe846c25212973
Author(s)
Isobe, Hiroki
Fu, Liang
Date Issued
August 2015
Journal
Physical Review B
Publisher
American Physical Society
Citation
Isobe, Hiroki, and Liang Fu. "Theory of interacting topological crystalline insulators." Phys. Rev. B 92, 081304 (August 2015). © 2015 American Physical Society
Version
Final published version
Abstract
We study the effect of electron interactions in topological crystalline insulators (TCIs) protected by mirror symmetry, which are realized in the SnTe material class and host multivalley Dirac fermion surface states. We find that interactions reduce the integer classification of noninteracting TCIs in three dimensions, indexed by the mirror Chern number, to a finite group Z[subscript 8]. In particular, we explicitly construct a microscopic interaction Hamiltonian to gap eight flavors of Dirac fermions on the TCI surface, while preserving the mirror symmetry. Our construction builds on interacting edge states of U(1) × Z[subscript 2] symmetry-protected topological phases of fermions in two dimensions, which we classify. Our work reveals a deep connection between three-dimensional topological phases protected by spatial symmetries and two-dimensional topological phases protected by internal symmetries.
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.92.081304
