Topological magnon Hall effect: The perspective of angular momentum conservation
Phys. Rev. B 114, 034405 – Published 6 July, 2026
DOI: https://doi.org/10.1103/c8yv-jh96
Abstract
When magnon propagates through a magnetic texture, the Hall effect arises as a prominent feature to characterize the underlying nontrivial magnetic topology, due to the action of the emergent pseudomagnetic field. Here, we propose a complementary framework based on the angular momentum conservation, which offers an intuitive yet quantitative toolkit to analyze the magnon deflection. Specifically, the spin and orbital components of the angular momentum carried by the magnon, as well as its redistribution along magnon trajectories are anatomized. Guided by the intrinsic constraint of angular momentum conservation, the magnon Hall angle is evaluated through the associated geometric features of the magnon trajectories.
