Spontaneous symmetry breakings in two-dimensional kagome lattice

Details Spontaneous symmetry breakings in two-dimensional kagome lattice Spontaneous symmetry breakings in two-dimensional kagome lattice

2010-06-09

arxiv.org/abs/1006.1707v2

Phys. Rev. B 82, 045102 (2010)

Physics

Condensed Matter

Materials Science

5 pages, 3 figures, Published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.82.045102

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 $\frac{1}{3}$-filling where there is a quadratic band crossing at $\Gamma$-point, in agreement with Ref. 1, the instabilities are infinitesimal and topological phases are dynamically generated. At $\frac{2}{3}$-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.

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