We study untwisted heterobilayers of ferromagnetic and antiferromagnetic van der Waals materials, with in particular a Dzyaloshinskii-Moriya interaction in the ferromagnetic layer. A continuum low energy field theory is utilized to study such systems. We develop a phase diagram as a function of the strength of inter-layer exchange and Dzyaloshinskii-Moriya interactions, combining perturbative and strong coupling analyses with numerical simulations using Landau-Lifshitz-Gilbert equations. Various moir\'e-periodic commensurate phases are found, and the commensurate-incommensurate transition is discussed. Among the commensurate phases, we observe an interesting skyrmion lattice phase wherein each moir\'e unit cell hosts one skyrmion.
@article{arxiv.2009.00860,
title = {Heterobilayer moir\'e magnets: moir\'e skyrmions and the commensurate-incommensurate transition},
author = {Kasra Hejazi and Zhu-Xi Luo and Leon Balents},
journal= {arXiv preprint arXiv:2009.00860},
year = {2021}
}