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arXiv 2108.04997cond-mat.str-el
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多$Q$自旋态中的电荷密度波

Charge density waves in multiple-$Q$ spin states

Satoru Hayami, Yukitoshi Motome

摘要:

电子中自旋和电荷自由度之间的耦合是固体各种电子和磁性的来源。本文从理论上研究了巡游磁体中存在磁有序时自旋-电荷耦合引起的电荷密度波。通过在Kondo晶格模型的弱耦合极限下进行微扰计算,我们得到了一个有用的电荷密度波和自旋密度波之间的关系公式,它可以应用于任何磁序,包括由多个自旋密度波组成的非共线和非共面磁序,称为多-$Q$磁序.我们证明了预测能力的单-$Q$和双-$Q$状态,包括skyrmion和meron-antieron晶体上的正方形晶格,在与数值计算相比。此外,我们表明,电荷密度波包含更丰富的信息比自旋密度波,确实是有用的区分自旋结构因子相似的自旋织构。我们讨论了键调制的关系的动能键能和矢量自旋手征。我们还进行了数值计算超出了微扰制度,发现电荷密度波可以增强时,电子填充是相称的。此外,我们研究的自旋轨道耦合,这可能会导致额外的电荷密度波,由于有效的各向异性磁相互作用在动量空间中的效果。我们的结果将提供一种方法来确定复杂的磁有序和它们的起源从电荷调制。

英文摘要:

Coupling between spin and charge degrees of freedom in electrons is a source of various electronic and magnetic properties of solids. We theoretically study charge density waves induced by the spin-charge coupling in the presence of magnetic orderings in itinerant magnets. By performing a perturbative calculation in the weak-coupling limit of the Kondo lattice model, we derive a useful formula for the relationship between charge and spin density waves, which can be applied to any magnetic orderings, including noncollinear and noncoplanar ones composed of multiple spin density waves called multiple-$Q$ magnetic orderings. We demonstrate the predictive power for single-$Q$ and double-$Q$ states including skyrmion and meron-antimeron crystals on a square lattice, in comparison with the numerical calculations. Moreover, we show that the charge density waves contain richer information than the spin density waves, and are indeed useful in distinguishing the spin textures with similar spin structure factors. We discuss the relation to bond modulation in terms of the kinetic bond energy and the vector spin chirality. We also perform numerical calculations beyond the perturbative regime and find that the charge density waves can be enhanced when the electron filling is commensurate. Furthermore, we investigate the effect of the spin-orbit coupling, which can lead to additional charge density waves owing to effective anisotropic magnetic interactions in momentum space. Our result will provide a way to identify complex magnetic orderings and their origins from the charge modulations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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