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Topological insulators on the Lieb and perovskite lattices

2010; American Physical Society; Volume: 82; Issue: 8 Linguagem: Inglês

10.1103/physrevb.82.085310

1550-235X

Conan Weeks, Marcel Franz,

2D Materials and Applications

Electrons hopping on the sites of a two-dimensional Lieb lattice and three-dimensional edge-centered cubic (perovskite) lattice are shown to form topologically nontrivial insulating phases when spin-orbit coupling is introduced. These simple models on lattices with cubic symmetry show a Dirac-type 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.