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Three-Dimensional Topological Insulators on the Pyrochlore Lattice

Three-Dimensional Topological Insulators on the Pyrochlore Lattice

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 …