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Spontaneous symmetry breakings in two-dimensional kagome lattice · Around

2010

Spontaneous symmetry breakings in two-dimensional kagome lattice

Liu, Qin, Yao, Hong, Ma, Tianxing

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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.

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H. Yao, Q. Liu, and S.-C. Zhang, in preparation (2010)
Original
2010
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