SUPA, School of Physics and Astronomy, University of St Andrews, St Andrews KY16 9SS, UK.
Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany.
Nature. 2017 Sep 27;549(7673):492-496. doi: 10.1038/nature23898.
Engineering and enhancing the breaking of inversion symmetry in solids-that is, allowing electrons to differentiate between 'up' and 'down'-is a key goal in condensed-matter physics and materials science because it can be used to stabilize states that are of fundamental interest and also have potential practical applications. Examples include improved ferroelectrics for memory devices and materials that host Majorana zero modes for quantum computing. Although inversion symmetry is naturally broken in several crystalline environments, such as at surfaces and interfaces, maximizing the influence of this effect on the electronic states of interest remains a challenge. Here we present a mechanism for realizing a much larger coupling of inversion-symmetry breaking to itinerant surface electrons than is typically achieved. The key element is a pronounced asymmetry of surface hopping energies-that is, a kinetic-energy-coupled inversion-symmetry breaking, the energy scale of which is a substantial fraction of the bandwidth. Using spin- and angle-resolved photoemission spectroscopy, we demonstrate that such a strong inversion-symmetry breaking, when combined with spin-orbit interactions, can mediate Rashba-like spin splittings that are much larger than would typically be expected. The energy scale of the inversion-symmetry breaking that we achieve is so large that the spin splitting in the CoO- and RhO-derived surface states of delafossite oxides becomes controlled by the full atomic spin-orbit coupling of the 3d and 4d transition metals, resulting in some of the largest known Rashba-like spin splittings. The core structural building blocks that facilitate the bandwidth-scaled inversion-symmetry breaking are common to numerous materials. Our findings therefore provide opportunities for creating spin-textured states and suggest routes to interfacial control of inversion-symmetry breaking in designer heterostructures of oxides and other material classes.
在固体中打破反转对称性——即允许电子区分“上”和“下”——是凝聚态物理和材料科学的一个关键目标,因为它可以用来稳定具有基本兴趣的状态,也具有潜在的实际应用。例如,用于存储设备的改进铁电体和用于量子计算的马约拉纳零模式的材料。尽管在几个晶体环境中,如表面和界面,反转对称性自然会被打破,但最大限度地提高这种效应对感兴趣的电子态的影响仍然是一个挑战。在这里,我们提出了一种实现比通常情况下更大的反转对称性破缺与巡游表面电子耦合的机制。关键因素是表面跳跃能量的明显不对称性,即动能耦合的反转对称性破缺,其能量尺度是带宽的很大一部分。使用自旋和角度分辨光发射光谱,我们证明了这种强烈的反转对称性破缺,当与自旋轨道相互作用结合时,可以介导比通常预期大得多的 Rashba 型自旋劈裂。我们实现的反转对称性破缺的能量尺度如此之大,以至于在源自 delafossite 氧化物的 CoO 和 RhO 的表面态中,自旋劈裂由 3d 和 4d 过渡金属的全原子自旋轨道耦合控制,导致一些已知的最大 Rashba 型自旋劈裂。促进带宽尺度反转对称性破缺的核心结构构建块在许多材料中很常见。因此,我们的发现为创造具有自旋纹理的状态提供了机会,并为氧化物和其他材料类别的设计异质结构中反转对称性破缺的界面控制提供了途径。