Topological Insulators on the Decorated Honeycomb Lattice

Details Topological Insulators on the Decorated Honeycomb Lattice Topological Insulators on the Decorated Honeycomb Lattice

2009-11-24

arxiv.org/abs/0911.4722v3

Phys. Rev. B 81, 205115 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 5 figures

Scientific paper

10.1103/PhysRevB.81.205115

We show that the decorated honeycomb lattice supports a number of topological insulating phases with a non-trivial Z_2 invariant and time-reversal symmetry protected gapless edge modes. We investigate the stability of these phases with respect to various symmetry breaking perturbations and demonstrate the connection to the recently discovered exactly solvable S=1/2 chiral spin liquid model [Phys. Rev. Lett. 99, 247203 (2007)] with non-Abelian and Abelian excitations on the same lattice. Our work highlights the relationship between topological band insulators and topologically ordered spin systems, and points to promising avenues for enlarging the number of known examples of both.

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