Magnetoelectric control of the toroidal order in a bilayer antiferromagnet CrSBr

Bilayer CrSBr, an A-type in-plane layered antiferromagnet, hosts one of the simplest spin arrangement yet supports a magnetic toroidal moment. This order breaks both spatial inversion (P) and time-reversal (T) symmetries while preserving PT symmetry, thereby enabling a transverse linear magnetoelectric effect. In this talk, we employ the second harmonic generation (SHG) rotation anisotropy (RA) and microscopy to investigate the magnetoelectric coupling in bilayer CrSBr. First, we demonstrate that an out-of-plane magnetic field induces an electrical polarization and the spin canting through magnetic field dependent RA SHG. By decomposing the SHG response, we identify a coherent superposition of contributions from the magnetic toroidal and electric polar order. Furthermore, we show that an applied electric, in the presence of the magnetic field, can successfully control the magnetic state and the polar order.