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Heterobilayer moiré magnets: Moiré skyrmions and commensurate-incommensurate transitions

Kasra Hejazi1,*, Zhu-Xi Luo (罗竹悉)2,*, and Leon Balents2,3

  • 1Department of Physics, University of California Santa Barbara, Santa Barbara, California, 93106-4030, USA
  • 2Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030, USA
  • 3Canadian Institute for Advanced Research, Toronto, Ontario M5G 1M1, Canada

  • *These authors contributed equally to this work.

Phys. Rev. B 104, L100406 – Published 10 September, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.L100406

Abstract

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 interlayer exchange and Dzyaloshinskii-Moriya interactions, combining perturbative and strong coupling analyses with numerical simulations using Landau-Lifshitz-Gilbert equations. Various moiré-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 moiré unit-cell hosts one skyrmion.

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