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Type-II Dirac/Weyl semimetals are characterized by strongly tilted Dirac cones such that the Dirac/Weyl node emerges at the boundary of electron and hole pockets as a new state of quantum matter, distinct from the standard Dirac/Weyl points…

Strongly Correlated Electrons · Physics 2018-08-24 Chunqiang Xu , Bin Li , Wenhe Jiao , Wei Zhou , Bin Qian , Raman Sankar , Nikolai D. Zhigadlo , Yanpeng Qi , Dong Qian , Fang-Cheng Chou , Xiaofeng Xu

We construct two-band topological semimetals in four dimensions using the unstable homotopy of maps from the three-torus $T^3$ (Brillouin zone of a 3D crystal) to the two-sphere $S^2$. Dubbed ``Hopf semimetals'', these gapless phases…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Bhandaru Phani Parasar , Vijay B. Shenoy

Under what conditions does a superconductor inherit topologically protected nodes from its parent normal state? In the context of Weyl semimetals with broken time-reversal symmetry, the pairing order parameter is classified by monopole…

Superconductivity · Physics 2022-03-02 Chiu Fan Bowen Lo , Hoi Chun Po , Andriy H. Nevidomskyy

Using first-principles electronic structure calculations, we show that ferromagnetic Heusler compounds Co$_2$MnX (X= Si, Ge, Sn) present non-trivial topological characteristics and belong to the category of Weyl semimetals. These materials…

Materials Science · Physics 2021-11-30 Abhishek Sharan , Felipe Crasto de Lima , Shoaib Khalid , Roberto H. Miwa , Anderson Janotti

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

The recently discovered layered kagome metals AV3Sb5 (A=K, Rb, and Cs) attract intensive interest due to their intertwining with superconductivity, charge-density-wave state, and nontrivial band topology. In this work, we show by…

Materials Science · Physics 2022-01-05 Y. Yang , R. Wang , M. -Z. Shi , Z. Wang , Z. Xiang , X. -H. Chen

The three-dimensional topological semimetals represent a new quantum state of matter. Distinct from the surface state in the topological insulators that exhibits linear dispersion in two-dimensional momentum plane, the three-dimensional…

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…

Two-dimensional type-II topological semimetals (TSMs), characterized by strongly tilted Dirac cones, have attracted intense interest for their unconventional electronic properties and exotic transport behaviors. However, rational design…

Materials Science · Physics 2026-01-05 Li Chen , Junlan Shi , Jiani Zhang , Botao Fu

2D materials with nontrivial energy bands are highly desirable for exploring various topological phases of matter, as low dimensionality opens unprecedented opportunities for manipulating the quantum states. Here, it is reported that…

Mesoscale and Nanoscale Physics · Physics 2020-01-17 Chenqiang Hua , Si Li , Zhu-An Xu , Yi Zheng , Shengyuan A. Yang , Yunhao Lu

We introduce a two-band model of three-dimensional nodal line semimetals, the Fermi surface of which at half-filling may form various one-dimensional configurations of different topology. We study the symmetries and "drumhead" surface…

Mesoscale and Nanoscale Physics · Physics 2018-05-03 Hui Jiang , Linhu Li , Jiangbin Gong , Shu Chen

Nodal-chain fermions, as novel topological states of matter, have been hotly discussed in non-magnetic materials. Here, by using first-principles calculations and symmetry analysis, we propose the realization of fully spin-polarized nodal…

Materials Science · Physics 2020-11-30 Haopeng Zhang , Xiaoming Zhang , Ying Liu , Xuefang Dai , Guang Chen , Guodong Liu

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

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

We present a study of "nodal semimetal" phases, in which non-degenerate conduction and valence bands touch at points (the "Weyl semimetal") or lines (the "line node semimetal") in three-dimensional momentum space. We discuss a general…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , M. D. Hook , Leon Balents

Two-dimensional (2D) materials with nodal-loop band crossing have been attracting great research interest. However, it remains a challenge to find 2D nodal loops that are robust against spin-orbit coupling (SOC) and realized in magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Shan-Shan Wang , Zhi-Ming Yu , Ying Liu , Yalong Jiao , Shan Guan , Xian-Lei Sheng , Shengyuan A. Yang

Topological materials have been a main focus of studies in the past decade due to their protected properties that can be exploited for the fabrication of new devices. Among them, Weyl semimetals are a class of topological semimetals with…

Materials Science · Physics 2024-02-05 Davide Grassano , Luca Binci , Nicola Marzari

We investigate the quasiparticles of a single nodal ring semimetal SrAs$_3$ through axis-resolved magneto-optical measurements. We observe three types of Landau levels scaling as $\varepsilon \sim \sqrt{B}$, $\varepsilon \sim B^{2/3}$, and…

Materials Science · Physics 2025-08-21 Jiwon Jeon , Taehyeok Kim , Jiho Jang , Hoil Kim , Mykhaylo Ozerov , Jun Sung Kim , Hongki Min , Eunjip Choi

The semi-metals having electrons near the Fermi level follow the relativistic equation of motion, and show Dirac or Weyl-type behavior. Their orbital resolved electronic bands analysis indicates the non-trivial topological states. Through…

Materials Science · Physics 2023-02-07 NK Karn , VPS Awana

Based on first-principles calculations and an effective Hamiltonian analysis, we systematically investigate the electronic and topological properties of alkaline-earth compounds $AX_2$ ($A$=Ca, Sr, Ba; $X$=Si, Ge, Sn). Taking BaSn$_2$ as an…

Materials Science · Physics 2016-06-01 Huaqing Huang , Jianpeng Liu , David Vanderbilt , Wenhui Duan