This letter studies the formation of a skyrmion crystal with a noncollinear magneto-electric interaction at the interface between a ferroelectric layer and a magnetic layer with triangular lattice in a ferromagnetic/ferroelectric superlattice and its phase transition. The ground-state spin configuration is calculated by using the steepest descent method. We noted that for zero applied magnetic field, the skyrmions in a ferromagnetic/ferroelectric superlattice with triangular lattice are created in three-dimensional space close to the interface region for strong magneto-electric interaction values. The strong magneto-electric interaction at the interface suppresses the magnetic phase transition. In an applied magnetic field, we found the formation of perfect skyrmion lattice at the interface for strong-enough values of magneto-electric interaction. The skyrmion crystal is stable in a large region of the external magnetic field.

中文翻译：

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具有三角晶格的铁磁/铁电超晶格中的 Skyrmions 和相变

这封信研究了在铁电层和铁磁/铁电超晶格中具有三角形晶格的磁性层之间的界面处具有非共线磁电相互作用的斯格明子晶体的形成及其相变。基态自旋配置是通过使用最速下降法计算的。我们注意到，对于零外加磁场，具有三角形晶格的铁磁/铁电超晶格中的斯格明子是在靠近界面区域的三维空间中产生的，以获得强磁电相互作用值。界面处的强磁电相互作用抑制了磁相变。在外加磁场中，我们发现在界面处形成了完美的斯格明子晶格，以获得足够强的磁电相互作用值。