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观测到拓扑半金属磷钼中的三组分费米子。

Observation of three-component fermions in the topological semimetal molybdenum phosphide.

机构信息

Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.

University of Chinese Academy of Sciences, Beijing 100049, China.

出版信息

Nature. 2017 Jun 29;546(7660):627-631. doi: 10.1038/nature22390. Epub 2017 Jun 19.

DOI:10.1038/nature22390
PMID:28628922
Abstract

In quantum field theory, Lorentz invariance leads to three types of fermion-Dirac, Weyl and Majorana. Although the existence of Weyl and Majorana fermions as elementary particles in high-energy physics is debated, all three types of fermion have been proposed to exist as low-energy, long-wavelength quasiparticle excitations in condensed-matter systems. The existence of Dirac and Weyl fermions in condensed-matter systems has been confirmed experimentally, and that of Majorana fermions is supported by various experiments. However, in condensed-matter systems, fermions in crystals are constrained by the symmetries of the 230 crystal space groups rather than by Lorentz invariance, giving rise to the possibility of finding other types of fermionic excitation that have no counterparts in high-energy physics. Here we use angle-resolved photoemission spectroscopy to demonstrate the existence of a triply degenerate point in the electronic structure of crystalline molybdenum phosphide. Quasiparticle excitations near a triply degenerate point are three-component fermions, beyond the conventional Dirac-Weyl-Majorana classification, which attributes Dirac and Weyl fermions to four- and two-fold degenerate points, respectively. We also observe pairs of Weyl points in the bulk electronic structure of the crystal that coexist with the three-component fermions. This material thus represents a platform for studying the interplay between different types of fermions. Our experimental discovery opens up a way of exploring the new physics of unconventional fermions in condensed-matter systems.

摘要

在量子场论中,洛伦兹不变性导致了三种类型的费米子——狄拉克、外尔和马约拉纳。尽管在高能物理中作为基本粒子存在的外尔和马约拉纳费米子存在争议,但这三种类型的费米子都被提议作为凝聚态系统中低能、长波长准粒子激发存在。狄拉克和外尔费米子在凝聚态系统中的存在已经通过实验得到证实,而马约拉纳费米子则得到了各种实验的支持。然而,在凝聚态系统中,晶体中的费米子受到晶体 230 个空间群对称性的限制,而不是洛伦兹不变性,这就产生了找到其他类型的在高能物理中没有对应物的费米子激发的可能性。在这里,我们使用角分辨光发射谱(ARPES)来证明晶体磷化钼的电子结构中存在三重简并点。三重简并点附近的准粒子激发是三分量费米子,超出了传统的狄拉克-外尔-马约拉纳分类,该分类将狄拉克和外尔费米子分别归因于四重和二重复简并点。我们还在晶体的体电子结构中观察到了与三分量费米子共存的一对外尔点。这种材料因此代表了研究不同类型费米子相互作用的平台。我们的实验发现为探索凝聚态系统中非传统费米子的新物理开辟了一条途径。

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Double Dirac Semimetals in Three Dimensions.三维双狄拉克半金属
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