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Topological metals with protected band-crossing points have been attracting great interest. Here we report novel topological band features in a family of metal diboride materials. Using first- principles calculations, we show that these…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 Xiaoming Zhang , Zhi-Ming Yu , Xian-Lei Sheng , Hui Ying Yang , Shengyuan A. Yang

Dirac semimetal (DSM) hosts four-fold degenerate isolated band-crossing points with linear dispersion, around which the quasiparticles resemble the relativistic Dirac Fermions. It can be described by a 4 * 4 massless Dirac Hamiltonian which…

Materials Science · Physics 2017-12-06 Cong Chen , Zefeng Su , Xiaoming Zhang , Ziyu Chen , Xian-Lei Sheng

Topological Dirac semimetals with accidental band touching between conduction and valence bands protected by time reversal and inversion symmetry are at the frontier of modern condensed matter research. Theoretically one can get Weyl and/or…

Topological nodal-line semimetals are characterized by one-dimensional Dirac nodal rings that are protected by the combined symmetry of inversion $\mathcal{P}$ and time-reversal $\mathcal{T}$. The stability of these Dirac rings is…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 W. B. Rui , Y. X. Zhao , Andreas P. Schnyder

The topological nodal-line semimetal state, serving as a fertile ground for various topological quantum phases, where a topological insulator, Dirac semimetal, or Weyl semimetal can be realized when the certain protecting symmetry is…

Triply degenerate band crossing can generate novel triply degenerate nodal point (TDNP) fermions. For the TDNP character to the best manifest in physical properties, it desires that the TDNPs are near the Fermi level, far away with each…

Materials Science · Physics 2019-02-27 Lei Jin , Xiaoming Zhang , Xuefang Dai , Heyan Liu , Guifeng Chen , Guodong Liu

We propose a new concept of two-dimensional (2D) Dirac semiconductor which is characterized by the emergence of fourfold degenerate band crossings near the band edge and provide a generic approach to realize this novel semiconductor in the…

Materials Science · Physics 2022-02-02 Botao Fu , Chao He , Da-Shuai Ma , Zhi-Ming Yu , Yong-Hong Zhao , Yugui Yao

Recently, topological semimetals become hot topic in condensed matter physics, including Dirac semimetal, Weyl semimetal, and nodal line semimetal (NLSM). In this paper, a new type of node- line semimetal - type-II NLSM is proposed based on…

Strongly Correlated Electrons · Physics 2017-09-26 Jing He , Xiao Kong , Wei Wang , Su-Peng Kou

Nontrivial topology of Dirac (DSMs), Weyl (WSMs) and nodal line semimetals (NLSMs) are delineated by the novel band crossings near the Fermi level in the bulk and the appearance of exotic surface states. Among them, nodal line semimetals…

Materials Science · Physics 2018-09-18 Ranjan Kumar Barik , Ritesh Kumar , Abhishek K. Singh

We analyze the topological properties of the possible superconducting states emerging from a Cd$_3$As$_2$-like, $\mathcal{C}_4$-symmetric Dirac semimetal, with two four-fold degenerate Dirac points separated in the $k_z$ direction. Unlike…

Superconductivity · Physics 2022-12-21 Zhenfei Wu , Yuxuan Wang

The unusual surface states of topological semimetals have attracted a lot of attention. Recently, we showed [PNAS 113, 8648 (2016)] that for a Dirac semimetal (DSM) arising from band-inversion, such as Na$_3$Bi and Cd$_3$As$_2$, the…

Strongly Correlated Electrons · Physics 2018-05-18 Mehdi Kargarian , Yuan-Ming Lu , Mohit Randeria

We analyze the four-dimensional Hamiltonian proposed to describe the band structure of the single-Dirac-cone family of topological insulators in the presence of a uniform perpendicular magnetic field. Surface Landau level(LL) states appear,…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Zhihua Yang , Jung Hoon Han

Nodal line semimetals are characterized by symmetry-protected band crossing lines and are expected to exhibit nontrivial electronic properties. Connections of the multiple nodal lines, resulting in nodal nets, chains, or links, are…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Ding-Fu Shao , Shu-Hui Zhang , Xiaoqian Dang , Evgeny Y. Tsymbal

Topological semimetals (TSMs) featuring symmetry-protected band degeneracies have attracted considerable attention due to their exotic quantum properties and potential applications. While nodal line (NL) and nodal surface (NS) semimetals…

Materials Science · Physics 2025-11-12 Xiao-jing Gao , Yanfeng Ge , Yan Gao

Based on first-principles calculations and effective model analysis, a Dirac nodal-net semimetal state is recognized in AlB$_2$-type TiB$_2$ and ZrB$_2$ when spin-orbit coupling (SOC) is ignored. Taking TiB$_2$ as an example, there are…

Materials Science · Physics 2018-01-31 Xing Feng , Changming Yue , Zhida Song , QuanSheng Wu , Bin Wen

Based on the first-principles study, we report a new set of topological semimetals (TiS, TiSe, TiTe, HfS, HfSe, HfTe and ZrS) which show the co-existence of a nodal-ring and triply-degenerate points. The two-fold degenerate one-dimensional…

Materials Science · Physics 2017-12-05 Mighfar Imam , Ranjan Kumar Barik , Rinkle Juneja , Ravindra Shinde , Abhishek K. Singh

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

Dirac nodal-line semimetals with the linear bands crossing along a line or loop, represent a new topological state of matter. Here, by carrying out magnetotransport measurements and performing first-principle calculations, we demonstrate…

Based on first-principles calculation and analysis of crystal symmetries, we propose a kind of hourglass-like nodal net (HNN) semimetal in centrosymmetric Ag2BiO3 that is constructed by two hourglass-like nodal chains (HNCs) at mutually…

Materials Science · Physics 2018-09-12 Botao Fu , Dashuai Ma , Xiaotong Fan , Cheng-Cheng Liu , Yugui Yao

The study of topological semimetals has been extended to more general topological nodal systems such as metamaterials and artificial periodic structures. Among various nodal structures, triply degenerate nodal line (TNL) is rare and hence…

Materials Science · Physics 2023-08-23 Yi-Ru Wang , Gui-Bin Liu