arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.10183cond-mat.mes-hallcond-mat.mtrl-sciquant-ph
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二维赝自旋1 Dirac绝缘体中的反常带内边缘态

Anomalous in-gap edge states in two-dimensional pseudospin-1 Dirac insulators

Hong-Ya Xu, Ying-Cheng Lai

摘要:

拥有平带的量子材料,如赝自旋-1晶格和魔角扭曲双层石墨烯,可以表现出全新的物理现象,包括非常规超导性,轨道铁磁性和陈氏绝缘行为。我们报告了一类令人惊讶的电子在赝自旋1材料的间隙边缘状态,而无需传统的带反转拓扑相变或通过外部磁性类型的相互作用引入磁性。特别是,我们发现,在二维带隙(绝缘)狄拉克系统的大规模自旋1准粒子,在间隙边缘模式可以出现通过只有一个{ \em静电势}施加到一个有限的域。与这些非常规的边缘模式是自发形成的明显的畴壁自旋纹理,表现出的功能面外自旋角动量锁定的域边界的两侧,是相当强大的边界变形和杂质,尽管缺乏一个明确的拓扑起源。间隙模式是形式上的三分量倏逝波解,类似于Jackiw-Rebbi类型的束缚态。由于三分量旋量波函数、不寻常的边界条件和由外部标量势引起的平移平带,这些模式属于一个独特的类别。这一发现不仅具有重要意义,而且为利用传统的半导体门技术制备具有自旋织构的高度可控的带隙边缘态铺平了道路。结果进行了验证,使用连续介质Dirac-Weyl模型和紧束缚模拟的现实材料的局部态密度谱和共振隧穿电导的特征的分析计算。

英文摘要:

Quantum materials that host a flat band, such as pseudospin-1 lattices and magic-angle twisted bilayer graphene, can exhibit drastically new physical phenomena including unconventional superconductivity, orbital ferromagnetism, and Chern insulating behaviors. We report a surprising class of electronic in-gap edge states in pseudospin-1 materials without the conventional need of band-inversion topological phase transitions or introducing magnetism via an external magnetic type of interactions. In particular, we find that, in two-dimensional gapped (insulating) Dirac systems of massive spin-1 quasiparticles, in-gap edge modes can emerge through only an {\em electrostatic potential} applied to a finite domain. Associated with these unconventional edge modes are spontaneous formation of pronounced domain-wall spin textures, which exhibit the feature of out-of-plane spin-angular momentum locking on both sides of the domain boundary and are quite robust against boundary deformations and impurities despite a lack of an explicit topological origin. The in-gap modes are formally three-component evanescent wave solutions, akin to the Jackiw-Rebbi type of bound states. Such modes belong to a distinct class due to the following physical reasons: three-component spinor wave function, unusual boundary conditions, and a shifted flat band induced by the external scalar potential. Not only is the finding of fundamental importance, but it also paves the way for generating highly controllable in-gap edge states with emergent spin textures using the traditional semiconductor gate technology. Results are validated using analytic calculations of a continuum Dirac-Weyl model and tight-binding simulations of realistic materials through characterizations of local density of state spectra and resonant tunneling conductance.

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