Topological Semimetals from First Principles

IF 10.6 2区 材料科学 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY
Heng Gao, J. Venderbos, Youngkuk Kim, A. Rappe
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引用次数: 134

Abstract

We review recent theoretical progress in the understanding and prediction of novel topological semimetals. Topological semimetals define a class of gapless electronic phases exhibiting topologically stable crossings of energy bands. Different types of topological semimetals can be distinguished on the basis of the degeneracy of the band crossings, their codimension (e.g., point or line nodes), and the crystal space group symmetries on which the protection of stable band crossings relies. The dispersion near the band crossing is a further discriminating characteristic. These properties give rise to a wide range of distinct semimetal phases such as Dirac or Weyl semimetals, point or line node semimetals, and type I or type II semimetals. In this review we give a general description of various families of topological semimetals, with an emphasis on proposed material realizations from first-principles calculations. The conceptual framework for studying topological gapless electronic phases is reviewed, with a particular focus on the symmetry requirements of energy band crossings, and the relation between the different families of topological semimetals is elucidated. In addition to the paradigmatic Dirac and Weyl semimetals, we pay particular attention to more recent examples of topological semimetals, which include nodal line semimetals, multifold fermion semimetals, and triple-point semimetals. Less emphasis is placed on their surface state properties, their responses to external probes, and recent experimental developments.
第一原理的拓扑半金属
本文综述了近年来在对新型拓扑半金属的认识和预测方面的理论进展。拓扑半金属定义了一类具有拓扑稳定能带交叉的无间隙电子相。不同类型的拓扑半金属可以根据带交叉的简并度、它们的协维数(如点或线节点)以及保护稳定带交叉所依赖的晶体空间群对称性来区分。在带交叉处附近的色散是另一个区分特征。这些性质产生了各种不同的半金属相,如狄拉克或Weyl半金属,点或线节点半金属,以及I型或II型半金属。在这篇综述中,我们给出了各种拓扑半金属族的一般描述,重点是从第一性原理计算中提出的材料实现。综述了研究拓扑无间隙电子相的概念框架,重点讨论了能带交叉的对称性要求,并阐明了不同族拓扑半金属之间的关系。除了典型的Dirac和Weyl半金属外,我们还特别关注了拓扑半金属的最新例子,包括节点线半金属、多重费米子半金属和三点半金属。较少强调的是它们的表面状态性质,它们对外部探针的反应,以及最近的实验进展。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Annual Review of Materials Research
Annual Review of Materials Research 工程技术-材料科学:综合
CiteScore
17.70
自引率
1.00%
发文量
21
期刊介绍: The Annual Review of Materials Research, published since 1971, is a journal that covers significant developments in the field of materials research. It includes original methodologies, materials phenomena, material systems, and special keynote topics. The current volume of the journal has been converted from gated to open access through Annual Reviews' Subscribe to Open program, with all articles published under a CC BY license. The journal defines its scope as encompassing significant developments in materials science, including methodologies for studying materials and materials phenomena. It is indexed and abstracted in various databases, such as Scopus, Science Citation Index Expanded, Civil Engineering Abstracts, INSPEC, and Academic Search, among others.
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