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arXiv 2201.10741cond-mat.mes-hallphysics.atom-ph
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Weyl半金属附近类氢原子的基态和极化

Ground state and polarization of an hydrogen-like atom near a Weyl semimetal

Jorge David Castaño-Yepes, D. J. Nader, A. Martín-Ruiz

摘要:

本文研究了拓扑外尔半金属(WSM)对近表面类氢原子的基态和极化的影响。假设WSM处于平衡态并且处于中性点,使得原子电荷与材料之间的相互作用由轴子电动力学完全描述(在非延迟状态下),轴子电动力学是WSM的本体中的异常霍尔效应的实验可观察到的特征。原子-WSM相互作用对Casimir-Polder势提供了额外的贡献,从而修改了能谱和波函数,现在变得依赖于距离。用变分法求解了相应的原子电子薛定谔方程,分析了原子-表面距离对基态和极化的影响,并通过与拓扑平凡样品的结果比较,直接观察了材料的非平凡拓扑效应.我们还研究了介质的介电常数的影响,假设在真空中的氢原子,并在半导体砷化镓(GaAs)和磷化镓(GaP)的施主杂质。我们发现,拓扑相互作用表现为一种有效吸引电荷,使电子云倾向于极化到材料的界面。此外,波函数归一化的损失被解释为一个临界位置,从下面的束缚态被打破。

英文摘要:

In this paper we study the effects of a topological Weyl semimetal (WSM) upon the ground state and polarization of an hydrogen-like atom near its surface. The WSM is assumed to be in the equilibrium state and at the neutrality point, such that the interaction between the atomic charges and the material is fully described (in the non retarded regime) by axion electrodynamics, which is an experimentally observable signature of the anomalous Hall effect in the bulk of the WSM. The atom-WSM interaction provides additional contributions to the Casimir-Polder potential thus modifying the energy spectra and wave function, which now became distance dependent. Using variational methods, we solve the corresponding Schrödinger equation for the atomic electron. The ground state and the polarization are analyzed as a function of the atom-surface distance, and we directly observe the effects of the nontrivial topology of the material by comparing our results with that of a topologically trivial sample. We also study the impact of the medium's permittivity by assuming a hydrogen atom in vacuum, and a donor impurity in the semiconductors gallium arsenide (GaAs) and gallium phosphide (GaP). We found that the topological interaction behaves as an effective-attractive charge so that the electronic cloud tends to be polarized to the interface of materials. Moreover, the loss of wave-function normalization is interpreted as a critical location from below which the bound state is broken.

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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