Tunable topology of magnon-polarons in two-dimensional magnets

In this talk, I will describe topological transports of magnon-phonon hybrid excitations in two-dimensional magnetic systems. The magnetoelastic interaction opens band gaps and allows the interband transition between different excitation states which leads to the topological transports of the magnon-polarons and their spin angular momenta. In the ferromagnets with broken time-reversal symmetry, the magnon-polaron bands possess nontrivial topology represented by the Chern numbers. In the antiferromagnets in the presence of the time-reversal symmetry, the magnon-polaron bands show the finite spin Berry curvature with vanishing Berry curvature. I will explain how the magnetoelastic interaction leads to the large spin Berry curvature and the large spin Nernst conductivity in the antiferromagnetic systems.