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arXiv 1912.03465cond-mat.mes-hall
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Re(0001)表面Rh和Fe原子双层膜中的磁相互作用

Tailoring magnetic interactions in atomic bilayers of Rh and Fe on Re(0001)

Souvik Paul, Stefan Heinze

摘要:

利用密度泛函理论研究了Re(0001)表面上Fe和Rh双层膜的堆积顺序和排列顺序与磁性之间的相互作用.我们发现,fcc/ffc堆叠的双层膜在能量上是非常不利的,而所有其他的hcp和fcc堆叠的组合在能量上是接近的。磁相互作用的DFT总能量映射到自旋模型,其中包含海森堡交换,Dzyaloshinskiii-Moriya相互作用,磁晶各向异性能,和高阶交换相互作用进行评估。我们发现,双层的堆叠顺序显着修改的磁相互作用。结果表明,hcp-Fe/hcp-Rh体系具有周期为11 nm的旋光驱动的旋光基态.对于fcc-Fe/hcp-Rh和hcp-Fe/fcc-Rh,我们得到了铁磁基态。hcp-Fe/hcp-Rh的自旋螺旋能量色散包括自旋-轨道耦合表明,孤立的skyrmions可以稳定在外部磁场的场极化铁磁背景。如果Fe层夹在Rh覆盖层和Re(0001)衬底之间,则Rh-Fe杂化优先的铁磁耦合和Fe-Re杂化诱导的反铁磁耦合之间存在竞争。由于Fe/Re界面的存在,ε能变得非常大。对于fcc-Rh/hcp-Fe,我们得到了一个周期为1.7~nm的摆线自旋螺旋,它是由交换作用的阻挫引起的,并进一步被电子自旋稳定化。对于hcp-Rh/hcp-Fe,我们发现了一个周期为4~nm的由反铁磁最近邻交换作用引起的、局域近似反平行的磁矩的摆线自旋螺旋.高阶交换常数在所考虑的膜中可能是显著的,然而,它们不稳定多$Q$状态。

英文摘要:

Using density functional theory, we investigate the interplay between the stacking order and sequence of bilayers composed of an Fe and a Rh layer on the Re(0001) and their magnetic properties. We find that fcc/ffc stacked bilayers are energetically very unfavorable, while all other combinations of hcp and fcc stacking are energetically close. The magnetic interactions are evaluated by mapping the DFT total energies onto a spin model, which contains Heisenberg exchange, Dzyaloshinskii-Moriya interaction, the magnetocrystalline anisotropy energy, and higher-order exchange interactions. We find that the stacking sequence of the bilayer significantly modifies the magnetic interactions. As a result, we find a DMI driven cycloidal spin spiral ground state with a period of 11~nm for hcp-Fe/hcp-Rh. For fcc-Fe/hcp-Rh and hcp-Fe/fcc-Rh, we obtain a ferromagnetic ground state. The spin spiral energy dispersion of hcp-Fe/hcp-Rh including spin-orbit coupling suggests that isolated skyrmions can be stabilized in the field-polarized ferromagnetic background at external magnetic fields. If the Fe layer is sandwiched between the Rh overlayer and the Re(0001) substrate, there is a competition between the ferromagnetic coupling preferred by the Rh-Fe hybridization and the antiferromagnetic coupling induced by the Fe-Re hybridization. Due to the Fe/Re interface the DMI can become very large. For fcc-Rh/hcp-Fe, we obtain a cycloidal spin spiral with a period of 1.7~nm which is induced by frustration of exchange interactions and further stabilized by the DMI. For hcp-Rh/hcp-Fe, we find a DMI driven cycloidal spin spiral with a period of 4~nm and locally nearly antiparallel magnetic moments due to antiferromagnetic nearest-neighbor exchange. The higher-order exchange constants can be significant in the considered films, however, they do not stabilize multi-$Q$ states.

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