中心对称多$Q$磁体中反对称自旋极化的双线性和双二次自旋叉积机制
Mechanism of antisymmetric spin polarization in centrosymmetric multiple-$Q$ magnets based on bilinear and biquadratic spin cross products
摘要：
我们研究了在没有相对论自旋轨道耦合的中心对称系统中，如何在有限序波矢的自旋密度波作用下设计反对称自旋分裂能带结构。通过对中心对称巡游磁体中自旋-电荷耦合模型的微扰分析，证明了在磁序下动量空间中的非零手征型双线性和双二次自旋叉积与电子能带结构中的反对称自旋极化有关.我们将导出的公式应用于单$Q$摆线螺旋和双$Q$非共面态，包括meron-antieron和skyrmion晶体。我们的结果为在没有自旋轨道耦合的中心对称晶格结构中实现由磁相变驱动的巨大反对称自旋劈裂提供了线索。
英文摘要：
We investigate how to engineer an antisymmetric spin-split band structure under spin density waves with finite ordering wave vectors in centrosymmetric systems without the relativistic spin-orbit coupling. On the basis of a perturbative analysis for the spin-charge coupled model in centrosymmetric itinerant magnets, we show that nonzero chiral-type bilinear and biquadratic spin cross products in momentum space under the magnetic orderings are related to an antisymmetric spin polarization in the electronic band structure. We apply the derived formula to the single-$Q$ cycloidal spiral and double-$Q$ noncoplanar states including the meron-antimeron and skyrmion crystals. Our results present a clue to realize a giant antisymmetric spin splitting driven by magnetic phase transitions in the centrosymmetric lattice structures without the spin-orbit coupling.
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