The boundary of topological insulators exhibits a pure spin current owing to the topological edge states. To exploit this edge spin current for spintronic purposes, a promising design is to make the topological insulator in contact with a metallic ferromagnetic thin film, such that the edge spin current can be used to manipulate the magnetization or vice versa. We demonstrate that in a 2D version of the topological insulator/ferromagnet junction, the topological edge state percolates into the ferromagnet, and the detail of the percolation depends significantly on the band structure and the magnetization orientation. Moreover, we uncover novel effects such as the existence of a room temperature persistent charge current, and elaborate how the real wave function of the percolated edge state makes the current-induced spin torque entirely field-like. This work is supported by FAPESP grant number 2016/08468-0.
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