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We study the stability of gap-closing (Weyl or Dirac) points in the three-dimensional Brillouin zone of semimetals using Clifford algebras and their representation theory. We show that a pair of Weyl points with $\mathbb{Z}_2$ topological…

Mesoscale and Nanoscale Physics · Physics 2014-06-26 Takahiro Morimoto , Akira Furusaki

Low-dimensional ferroelectricity and Dirac materials with protected band crossings are fascinating research subjects. Based on first-principles calculations, we predict the coexistence of spontaneous in-plane polarization and novel 2D…

Materials Science · Physics 2021-11-29 S. Guan , G. B. Zhang , C. Liu

Two-dimensional (2D) Dirac-like electron gases have attracted tremendous research interest ever since the discovery of free-standing graphene. The linear energy dispersion and non-trivial Berry phase play the pivotal role in the remarkable…

The enchanting Dirac fermions in graphene stimulated us to seek for other two-dimensional (2D) Dirac materials, and boron monolayers may be a good candidate. So far, a number of monolayer boron sheets have been theoretically predicted, and…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 Honghong Zhang , Yuee Xie , Zhongwei Zhang , Chengyong Zhong , Yafei Li , Zhongfang Chen , Yuanping Chen

Three dimensional (3D) topological insulators are novel states of quantum matter that feature spin-momentum locked helical Dirac fermions on their surfaces and hold promise to open new vistas in spintronics, quantum computing and…

Mesoscale and Nanoscale Physics · Physics 2010-07-30 Su-Yang Xu , L. A. Wray , Y. Xia , R. Shankar , A. Petersen , A. Fedorov , H. Lin , A. Bansil , Y. S. Hor , D. Grauer , R. J. Cava , M. Z. Hasan

Dirac semi-metals show a linear electronic dispersion in three dimension described by two copies of the Weyl equation, a theoretical description of massless relativistic fermions. At the surface of a crystal, the breakdown of fermion…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 Philip J. W. Moll , Nityan L. Nair , Tony Helm , Andrew C. Potter , Itamar Kimchi , Ashvin Vishwanath , James G. Analytis

Dirac materials are of great interest as condensed matter realizations of the Dirac and Weyl equations. In particular, they serve as a starting point for the study of topological phases. This physics has been extensively studied in…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 P. Sathish Kumar , Igor F. Herbut , R. Ganesh

The subject of topological materials has attracted immense attention in condensed-matter physics, because they host new quantum states of matter containing Dirac, Majorana, or Weyl fermions. Although Majorana fermions can only exist on the…

Materials Science · Physics 2017-05-26 Silu Huang , Jisun Kim , W. A. Shelton , E. W. Plummer , Rongying Jin

Topological semimetals (TSMs) in which conduction and valence bands cross at zero-dimensional (0D) Dirac nodal points (DNPs) or 1D Dirac nodal lines (DNLs), in 3D momentum space, have recently drawn much attention due to their exotic…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Jianfeng Wang , Yizhou Liu , Kyung-Hwan Jin , Xuelei Sui , Wenhui Duan , Feng Liu , Bing Huang

Three-dimensional (3D) topological Dirac semimetals (TDSs) are rare but important as a versatile platform for exploring exotic electronic properties and topological phase transitions. A quintessential feature of TDSs is 3D Dirac fermions…

Analogues of the elementary particles, Dirac fermions in condensed matter have received extensive attention for both scientific interest and device applications. In this work, we generalize the concept of Dirac semimetal (DSM) to the…

Materials Science · Physics 2018-12-12 Guiyuan Hua , Simin Nie , Zhida Song , Rui Yu , Gang Xu , Kailun Yao

3D Dirac semi-metals (DSMs) are materials that have massless Dirac electrons and exhibit exotic physical properties It has been suggested that structurally distorting a DSM can create a Topological Insulator (TI), but this has not yet been…

Three-dimensional (3D) topological Weyl semimetals (TWSs) represent a novel state of quantum matter with unusual electronic structures that resemble both a "3D graphene" and a topological insulator by possessing pairs of Weyl points…

The material termed three-dimensional (3D) Dirac semimetal has attracted great interests recently, since it is an electronic analogue to two-dimensional graphene. Starting from this novel phase, various topologically distinct phases may be…

Strongly Correlated Electrons · Physics 2014-12-17 L. P. He , X. C. Hong , J. K. Dong , J. Pan , Z. Zhang , J. Zhang , S. Y. Li

The three-dimensional Dirac semimetal is distinct from its two-dimensional counterpart due to its dimensionality and symmetry. Here, we observe that molecule-based quasi-two-dimensional Dirac fermion system, $\alpha$-(BEDT-TTF)$_2$I$_3$,…

Strongly Correlated Electrons · Physics 2023-11-23 Naoya Tajima , Yoshitaka Kawasugi , Takao Morinari , Ryuhei Oka , Toshio Naito , Reizo Kato

Topological band dispersions other than the standard Dirac or Weyl fermions have garnered the increasing interest in materials science. Among them, the cubic Dirac fermions were recently proposed in the family of quasi-one-dimensional…

Materials Science · Physics 2020-09-17 Ziwan Song , Bin Li , Chunqiang Xu , Sixuan Wu , Bin Qian , Tong Chen , Pabitra K. Biswas , Xiaofeng Xu , Jian Sun

The type-II Dirac fermions that are characterized by a tilted Dirac cone and anisotropic magneto-transport properties have been recently proposed theoretically and confirmed experimentally. Here, we predict the emergence of two-dimensional…

Materials Science · Physics 2018-09-12 L. L. Tao , Evgeny Y. Tsymbal

Dirac semimetal is a phase of matter, whose elementary excitation is described by the relativistic Dirac equation. In the limit of zero mass, its parity-time symmetry enforces the Dirac fermion in the momentum space, which is composed of…

Materials Science · Physics 2022-11-04 Pengfei Liu , Ao Zhang , Jingzhi Han , Qihang Liu

Three-dimensional topological semimetals can support band crossings along one-dimensional curves in the momentum space (nodal lines or Dirac lines) protected by structural symmetries and topology. We consider rhombohedrally (ABC) stacked…

Mesoscale and Nanoscale Physics · Physics 2018-01-15 T. Hyart , R. Ojajärvi , T. T. Heikkilä

Topological crystalline metals/semimetals (TCMs) have stimulated a great research interest, which broaden the classification of topological phases and provide a valuable platform to explore topological superconductivity. Here, we report the…

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