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Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices

2010/05/21 by Jun Wen, Andreas Rüegg, C. -C. Joseph Wang +1 · 1 citation
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.82.075125

published as Phys. Rev. B 82, 075125 (2010) · 16 pages, 12 figures

arxiv created 2010/05/21 · arxiv updated 2010/08/16

Abstract

We study the spinless and spinful extended Hubbard models with repulsive interactions on the kagome and the decorated honeycomb ("star") lattice. Using Hartree-Fock mean-field theory, we show that interaction-driven insulating phases with non-trivial topological invariants (Chern number or Z2 invariant) exist for an experimentally reasonable range of parameters. These phases occur at filling fractions which involve either Dirac points or quadratic band crossing points in the non-interacting limit. We present comprehensive mean-field phase diagrams for these lattices and discuss the competition between topologically non-trivial phases and numerous other ordered states, including various charge, spin, and bond orderings. Our results suggest that Z2 topological insulators should be found in a number of systems with either little or no intrinsic spin-orbit coupling.

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