Three-dimensional Topological Insulators on the Pyrochlore Lattice

Details Three-dimensional Topological Insulators on the Pyrochlore Lattice Three-dimensional Topological Insulators on the Pyrochlore Lattice

2009-08-05

arxiv.org/abs/0908.0698v2

Phys. Rev. Lett. 103, 206805 (2009).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures, 1 table. Version to appear in PRL; minor stylistic changes, typos corrected, references added

Scientific paper

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.

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