Homochiral Magnetic Structures in Deposited Clusters

生物聚合物独特的均一性和电弱相互作用的宇称破坏是两个令人着迷的例子，对于镜像和镜像来说，自然规律是不同的。我们认为，沉积在表面上的金属团簇的磁性结构也是如此。我们建议研究沉积在大核数衬底上的铁磁性原子团簇，如Fe、Co、Ni、Ru和Os的Dzyaloshinskii-Moriya(DM)相互作用的存在和强度。我们认为，在过去20年对沉积在衬底上的小磁性物体的磁性进行从头计算的过程中，磁性只能用对称的海森堡交换和磁(单轴)各向异性来解释，而DM相互作用要么被忽视，要么被忽视，要么被遗忘。我们将在基于密度泛函理论的相对论Korringa-Kohn-Rostoker Green Function(KKR-GF)方法中，基于无限小转动的思想，实现一种计算DM相互作用强度的方法--DM矢量D。我们将证明DM相互作用的强度足以与其他相互作用竞争以产生同手性磁结构。由于DM向量D决定于系统的对称性，团簇为这类研究提供了一个特别丰硕的领域。

The unique homochirality of biopolymers and the parity violation of the electroweak interaction are two fascinating examples where the laws of nature are different for an image and for a mirror image. We believe this is also true for the magnetic structure in metal clusters deposited on surfaces. We propose the investigation of the existence and the strength of the Dzyaloshinskii- Moriya (DM) interaction of preferably ferromagnetic clusters, e.g. Fe, Co, Ni, Ru, and Os, deposited on substrates with large nuclear numbers, e.g. W, Ir, Pt, Pb, or Bi. We argue that during the past 20 years of ab initio calculations on the magnetism of small magnetic objects deposited on substrates, magnetism has only been explained on the basis of the symmetric Heisenberg exchange and the magnetic (uniaxial) anisotropy, while the DM interaction had been either overlooked, ignored or forgotten. We will implement an approach to calculate the strength of DM interaction, the DM-vector D, based on the idea of infinitesimal rotations, in a relativistic Korringa-Kohn-Rostoker Green function (KKR-GF) method based on the density functional theory. We will prove that the strength of the DM interaction is sufficient to compete with the other interactions to produce homochiral magnetic structures. Since the DM vector D depends decisively on the symmetry of the system, clusters provide a particularly fruitful field for such studies.