Three-dimensional Topological Insulators on the Pyrochlore Lattice
Abstract
Electrons hopping on the sites of a three-dimensional pyrochlore lattice are shown to form topologically non-trivial insulating phases when the spin-orbit (SO) coupling and lattice distortions are present. Of 16 possible topological classes 9 are realized for various parameters in this model. Specifically, at half-filling undistorted pyrochlore lattice with SO term yields a 'pristine' strong topological insulator with Z2 index (1;000). At quarter filling various strong and weak topological phases are obtained provided that both SO coupling and uniaxial lattice distortion are present. Our analysis suggests that many of the non-magnetic insulating pyrochlores should be topological insulators.
Cite
@article{arxiv.0908.0698,
title = {Three-dimensional Topological Insulators on the Pyrochlore Lattice},
author = {H. -M. Guo and M. Franz},
journal= {arXiv preprint arXiv:0908.0698},
year = {2015}
}
Comments
4 pages, 2 figures, 1 table. Version to appear in PRL; minor stylistic changes, typos corrected, references added