Magnon Nonlinear Hall Effect in 2D Antiferromagnetic Insulators

Abstract

The efficient detection of the magnetism in 2D antiferromagnetic (AFM) insulators is crucial for the advancement of 2D AFM spintronics and remains a challenging problem. In this letter, we introduce the magnon nonlinear Hall current, a second-order Hall response of collective spin excitations in ordered magnets, as a novel probe for 2D layered AFM insulators. We theoretically demonstrate that the nonlinear Hall effect is intrinsically coupled to the underlying spin configuration. In particular, it exhibits a pronounced layer dependence in layered antiferromagnets, enabling direct characterization of the nature and strength of interlayer magnetic coupling in multilayer AFM insulators. Furthermore, we show that a a slight external field perturbation can induce and manipulate the magnon nonlinear Hall response. Our work establishes a novel approach for exploring 2D antiferromagnetism and holds great promise for AFM spintronic applications