Topological Insulators on the Lieb and Perovskite Lattices

Details Topological Insulators on the Lieb and Perovskite Lattices Topological Insulators on the Lieb and Perovskite Lattices

2010-04-29

arxiv.org/abs/1004.5172v1

PRB 82, 085310 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevB.82.085310

Electrons hopping on the sites of a two-dimensional Lieb lattice and three-dimensional edge centered cubic (perovskite) lattice are shown to form topologically non-trivial insulating phases when spin-orbit coupling is introduced. These simple models on lattices with cubic symmetry show a Dirac-like structure in the excitation spectrum but with the unusual feature that there is a dispersionless band through the center of the spectrum and only a single Dirac cone per Brillouin zone.

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