Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
arXiv:1005.4061 · doi:10.1103/PhysRevB.82.075125
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 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 topological insulators should be found in a number of systems with either little or no intrinsic spin-orbit coupling.
16 pages, 12 figures
References in corpus (25)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Non-Abelian Anyons and Topological Quantum Computation
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Classification of topological insulators and superconductors in three spatial dimensions
- First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
- Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
- Nonlocal edge state transport in the quantum spin Hall state
- Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
- Topological Mott Insulators
- Topological Anderson Insulator
- Electron fractionalization in two-dimensional graphenelike structures
- Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
- An exact chiral spin liquid with non-Abelian anyons
- Properties of an algebraic spin liquid on the kagome lattice
- Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
- Ground State of the Kagome Lattice Heisenberg Antiferromagnet
- Tuning phase transition between quantum spin Hall and ordinary insulating phases
- ^{63}Cu, ^{35}Cl, and ^{1}H NMR in the S=1/2 Kagomé Lattice ZnCu_{3}(OH)_{6}Cl_{2}
- Mott transition in Kagomé lattice Hubbard model
- Kinetic ferromagnetism on a kagome lattice
- Spontaneous symmetry breakings in two-dimensional kagome lattice
- Fractional statistics of topological defects in graphene and related structures
- Bond order wave instabilities in doped frustrated antiferromagnets: "Valence bond solids" at fractional filling