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Topological Dirac and Weyl semimetals not only host quasiparticles analogous to the elementary fermionic particles in high-energy physics, but also have nontrivial band topology manifested by exotic Fermi arcs on the surface. Recent…

Using first-principles calculations we predict that $\mathrm{TiRhAs}$, a previously synthesized compound, is a Dirac nodal line (DNL) semimetal. The DNL in this compound is found to be protected both by the combination of inversion and…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Sophie F. Weber , Ru Chen , Qimin Yan , Jeffrey B. Neaton

We generalize the concept of three-dimensional topological Weyl semimetal to a class of five dimensional (5D) gapless solids, where Weyl points are generalized to Weyl surfaces which are two-dimensional closed manifolds in the momentum…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Biao Lian , Shou-Cheng Zhang

Nodal-line semimetals with magnetic orders have been theoretically predicted and experimentally observed in only few compounds. We theoretically explore the electronic structure in bulk and boundary of such a magnetic nodal-line state by…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Yasufumi Araki , Jin Watanabe , Kentaro Nomura

Topological semimetals and metals have emerged as a new frontier in the field of quantum materials. Novel macroscopic quantum phenomena they exhibit are not only of fundamental interest, but may hold some potential for technological…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 A. A. Burkov

Weyl semimetals are extraordinary systems where exotic phenomena such as Fermi arcs, pseudo-gauge fields and quantum anomalies arise from topological band degeneracy in crystalline solids for electrons and metamaterials for photons and…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Li Luo , Hai-Xiao Wang , Bin Jiang , Ying Wu , Zhi-Kang Lin , Feng Li , Jian-Hua Jiang

The crystal symmetry of a material dictates the type of topological band structures it may host, and therefore symmetry is the guiding principle to find topological materials. Here we introduce an alternative guiding principle, which we…

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

The field of two-dimensional topological semimetals, which emerged at the intersection of two-dimensional materials and topological materials, have been rapidly developing in recent years. In this article, we briefly review the progress in…

Materials Science · Physics 2021-11-17 Xiaolong Feng , Jiaojiao Zhu , Weikang Wu , Shengyuan A. Yang

The electronic bands are classified according to their topology. We compute the connection and curvature for the electronic bands and show that the physical properties are determined by topological invariants which are equivalent to the…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 D. Schmeltzer

Topological semimetals with different types of band crossings provide a rich platform to realize novel fermionic excitations, known as topological fermions. In particular, some fermionic excitations can be direct analogues of elementary…

Physicists have discovered a novel topological semimetal, the Weyl semimetal, whose surface features a non-closed Fermi surface while the low energy quasiparticles in the bulk emerge as Weyl fermions. Here they share a brief review of the…

Mesoscale and Nanoscale Physics · Physics 2016-12-08 Shuang Jia , Su-Yang Xu , M. Zahid Hasan

Hopf-link semimetals exhibit exotic gapless band structures with fascinating topological properties, which have never been observed in nature. Here we demonstrate nodal lines with topological form of Hopf-link chains in artificial…

Quantum Physics · Physics 2018-05-23 Xinsheng Tan , Mengmeng Li , Danyu Li , Kunzhe Dai , Haifeng Yu , Yang Yu

We study a new class of non-Hermitian topological phases in three dimension in the absence of any symmetry, where the topological robust band degeneracies are Hopf-link exceptional lines. As a concrete example, we investigate the…

Mesoscale and Nanoscale Physics · Physics 2019-12-17 Zhesen Yang , Jiangping Hu

Dirac, triple-point and Weyl fermions represent three topological semimetal phases, characterized with a descending degree of band degeneracy, which have been realized separately in specific crystalline materials with different lattice…

Materials Science · Physics 2018-04-02 Huaqing Huang , Kyung-Hwan Jin , Feng Liu

We theoretically study the three-dimensional topological semimetals with nodal surfaces protected by crystalline symmetries. Different from the well-known nodal-point and nodal-line semimetals, in these materials, the conduction and valence…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Weikang Wu , Ying Liu , Si Li , Chengyong Zhong , Zhi-Ming Yu , Xian-Lei Sheng , Y. X. Zhao , Shengyuan A. Yang

Crystalline symmetries play an important role in the classification of band structures, and the rich variety of spatial symmetries in solids leads to various topological crystalline phases (TCPs). However, compared with topological…

Mesoscale and Nanoscale Physics · Physics 2019-03-12 Feng Tang , Hoi Chun Po , Ashvin Vishwanath , Xiangang Wan

We propose a 3D topolectrical (TE) network that can be tuned to realize various higher-order topological gapless and chiral phases. We first study a higher-order Dirac semimetal phase that exhibits a hinge-like Fermi arc linking the Dirac…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 S. M. Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Mansoor B. A. Jalil

Nodal lines are one-dimensional topological features of semi-metal band structures along which two bands are degenerate as a result of non-accidental symmetry-protected crossings, and behave topologically as $k$-space vortices in the Berry…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Oliver Dowinton , Rodion Vladimirovich Belosludov , Mohammad Saeed Bahramy

Weyl semimetals are arguably the most paradigmatic form of a gapless topological phase. While the stability of Weyl nodes, as quantified by their topological charge, has been extensively investigated, recent interest has shifted to the…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Siyu Chen , Adrien Bouhon , Robert-Jan Slager , Bartomeu Monserrat