Spontaneous symmetry breakings in two-dimensional kagome lattice
arXiv:1006.1707 · doi:10.1103/PhysRevB.82.045102
Abstract
We study spontaneous symmetry breakings for fermions (spinless and spinful) on a two-dimensional kagome lattice with nearest-neighbor repulsive interactions in weak coupling limit, and focus in particular on topological Mott insulator instability. It is found that at -filling where there is a quadratic band crossing at -point, in agreement with Ref. 1, the instabilities are infinitesimal and topological phases are dynamically generated. At -filling where there are two inequivalent Dirac points, the instabilities are finite, and no topological phase is favored at this filling without breaking the lattice translational symmetry. A ferromagnetic quantum anomalous Hall state with infinitesimal instability is further proposed at half-filling of the bottom flat band.
arXiv comment5 pages, 3 figures, Published in Phys. Rev. B
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