Abstract
The chiral edge states and the quantized Hall conductance (QHC) in the two-dimensional kagomé lattice with spin anisotropies included in a general Hund's coupling region are studied. This kagomé lattice system is periodic in the x-direction but has two edges in the y-direction. Numerical results show that the strength of Hund's coupling, as well as spin chirality, affects the edge states and the corresponding QHC. Within the topological edge theory, we express the QHC with the winding number of the chiral edge states on a Riemann surface. This expression is also compared with that within the topological bulk theory, and they are found to be consistent with each other.
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