Quantum controlling and the topological properties of the magnon photo-transport in two-dimensional collinear ferromagnet

In our work, we study magnon transport induced by light through Aharonov-Casher (AC) effect, including magnon spin photocurrent (MSPC) and magnon energy photocurrent (MEPC). Firstly, we regard the effect of the electric field on the magnon through the AC effect as a perturbation. Then we derived the expressions of MSPC and MEPC in two-dimensional collinear ferromagnetic system. And we apply our theory to the two-dimension ferromagnetic Hexagonal and Kagome lattice. We find that the optical frequency and the relaxation time of the material can be used to control the photo-transport of magnons. In addition, under the condition of low light frequncy and infinite relaxation time, the longitudinal magnon photo-transport is related to the topological property of the magnon system.