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Open AccessProceedings

Spin Waves and Skyrmions in Magneto-Ferroelectric Superlattices: Theory and Simulation

by Hung T. Diep 1,*,‡ and Ildus F. Sharafullin 2,‡
1
Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise, CNRS, UMR 8089, 2 Avenue Adolphe Chauvin, 95302 Cergy-Pontoise CEDEX, France
2
Bashkir State University, 32, Validy str, 450076 Ufa, Russia
*
Author to whom correspondence should be addressed.
Presented at the 5th International Electronic Conference on Entropy and Its Applications, 18–30 November 2019; Available online: https://ecea-5.sciforum.net/.
Both authors contributed equally to this work.
Proceedings 2020, 46(1), 3; https://doi.org/10.3390/ecea-5-06662
Published: 17 November 2019
We present in this paper the effects of Dzyaloshinskii–Moriya (DM) magnetoelectric coupling between ferroelectric and magnetic layers in a superlattice formed by alternate magnetic and ferroelectric films. Magnetic films are films of simple cubic lattice with Heisenberg spins interacting with each other via an exchange J and a DM interaction with the ferroelectric interface. Electrical polarizations of ± 1 are assigned at simple cubic lattice sites in the ferroelectric films. We determine the ground-state (GS) spin configuration in the magnetic film. In zero field, the GS is periodically non-collinear (helical structure) and in an applied field H perpendicular to the layers, it shows the existence of skyrmions at the interface. Using the Green’s function method we study the spin waves (SW) excited in a monolayer and also in a bilayer sandwiched between ferroelectric films, in zero field. We show that the DM interaction strongly affects the long-wave length SW mode. We calculate also the magnetization at low temperatures. We use next Monte Carlo simulations to calculate various physical quantities at finite temperatures such as the critical temperature, the layer magnetization and the layer polarization, as functions of the magneto-electric DM coupling and the applied magnetic field. Phase transition to the disordered phase is studied.
Keywords: superlattice; magneto-ferroelectric coupling; spin waves; skyrmions; phase transition; Green’s function theory; Monte Carlo simulation superlattice; magneto-ferroelectric coupling; spin waves; skyrmions; phase transition; Green’s function theory; Monte Carlo simulation
MDPI and ACS Style

Diep, H.T.; Sharafullin, I.F. Spin Waves and Skyrmions in Magneto-Ferroelectric Superlattices: Theory and Simulation. Proceedings 2020, 46, 3.

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