Lifshitz transition in triangular lattice Kondo-Heisenberg model

Zhang Lan¹, Zhong Yin^{1, †}, Luo Hong-Gang^{1, 2}

(a) The real space triangular lattice, a₁ = (0,a) and a2=(a2,3a2) are the basic vectors. (b) The first Brillouin zone of the triangular lattice, b1=(2π,2π3) and b2=(0,4π3) are the reciprocal vectors of the triangular lattice, the red dots are high symmetry points of the first Brillouin zone, where Γ = (0,0), K=(2π3,2π3) , M=(0,2π3) , K′=(π3,π3) , M′=(π3,2π3) .