论文标题

Moiré量子点阵列的磁性特性

Magnetic properties of moiré quantum dot arrays

论文作者

Pasek, Weronika, Kupczyński, Michał, Potasz, Paweł

论文摘要

我们研究了Moiré三角形超晶格的量子点阵列的磁性特性。从互惠空间模型开始,我们使用投影技术来获得最大局部的Wannier函数并确定广义Hubbard模型参数。多体哈密顿量使用精确的对角线化方法求解,这是不同形状的量子点阵列中电子数量的函数。在大多数研究的结构中,在各种填充因子中观察到有限的自旋极化,并且在大多数研究结构中都有足够的强相互作用。提出了通过应用位移场控制磁化的前景。在半填充附近,可以看到Moiré材料中Nagaoka Ferromagnetism的特征,我们通过将结果与相应的现场Hubbard模型进行比较来证明。

We investigate magnetic properties of quantum dot arrays of moiré triangular superlattices. Starting from a reciprocal space model, we use the projection technique to obtain maximally localized Wannier functions and determine generalized Hubbard model parameters. The many-body Hamiltonian is solved using the exact diagonalization method as a function of the number of electrons in differently shaped quantum dots arrays. Finite spin polarization is observed within a wide range of filling factors for small twist angles and sufficiently strong interactions in most of the studied structures. The prospect for a magnetization controlled by applying a displacement field is presented. In the vicinity of half-filling, signatures of Nagaoka ferromagnetism in moiré materials are seen, which we demonstrate by comparing results with the corresponding on-site Hubbard model.

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