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arXiv 2409.04520cond-mat.mes-hallcond-mat.str-el
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双层斯格明子晶体中的电荷有序与自发拓扑霍尔效应

Charge ordering and spontaneous topological Hall effect in bilayer skyrmion crystals

Andrew Hardy, Anjishnu Bose, Tanmay Grover, Arun Paramekanti

AI总结:

本研究通过双层斯格明子晶体模型,发现弱电子相互作用可诱导两种对称性破缺相,均产生自发的大拓扑霍尔效应,且相图可由电场调控,为相关材料研究提供新方向。

摘要:

净斯格明子电荷为零且拓扑霍尔响应为零的磁性斯格明子晶体,是在中心对称系统中于零磁场下可能出现的有趣候选相。我们研究了一个最小双层斯格明子晶体模型,其中两层具有相反的手性和拓扑电荷,并表明该模型可以承载具有准均匀贝里曲率和量子度量的近平坦电子带。利用Hartree-Fock理论,我们证明了弱到中等强度的短程电子相互作用会根据能带色散诱导两种不同类型的对称性破缺模式:一种是由Chern带混合引起的晶胞内电荷密度调制,另一种是具有非零铁电极化的层不平衡相。这两种相都破缺了反演对称性,从而导致自发的、较大的净拓扑霍尔效应,其相图可通过外部电场进行调控。我们的结果可能与中心对称斯格明子材料(如Gd$_2$PdSi$_3$和Gd$_3$Ru$_4$Al$_{12}$)以及人工设计的异质结构相关。我们还讨论了其与最近关于扭曲过渡金属二硫族化物双层的研究的联系。

英文摘要:

Magnetic skyrmion crystals with zero net skyrmion charge and zero topological Hall response are interesting candidate phases which can occur at a vanishing magnetic field in centrosymmetric systems. We study a minimal bilayer model of skyrmion crystals having opposite chirality and topological charge in the two layers, and show that it can host nearly flat electronic bands with quasi-uniform Berry curvature and quantum metric. Using Hartree-Fock theory, we show that weak to moderate short-range electron interactions induce two distinct types of symmetry breaking patterns depending on the band dispersion: an intra-unit-cell charge density modulation from Chern band mixing or a layer-imbalanced phase with a nonzero ferroelectric polarization. Both phases break inversion symmetry leading to a spontaneous and large net topological Hall effect, with the phase diagram tunable by external electric fields. Our results may be relevant to centrosymmetric skyrmion materials such as Gd$_2$PdSi$_3$ and Gd$_3$Ru$_4$Al$_{12}$ as well as artificially engineered heterostructures. We also discuss its relation to recent work on twisted transition metal dichalcogenide bilayers.

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