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Three-dimensional (3D) topological semimetals represent a new class of topological matters. The study of this family of materials has been at the frontiers of condensed matter physics, and many breakthroughs have been made. Several…

Materials Science · Physics 2019-10-03 Jin Hu , Su-Yang Xu , Ni Ni , Zhiqiang Mao

Magnetic Weyl semimetal (MWS) is a unique topological state with open surface Fermi arc states and other exotic transport phenomena. However, most reported MWSs show multiple pairs of Weyl points and complicated Fermi surfaces, which…

Recently discovered Weyl semimetals (WSM) have found special place in topological condensed matter studies for they represent first example of massless Weyl fermions found in condensed matter systems. A WSM shows gapless bulk energy spectra…

Strongly Correlated Electrons · Physics 2021-02-23 Satyaki Kar , Arun M Jayannavar

Nodal loop semimetals are close descendants of Weyl semimetals and possess a topologically dressed band structure. We argue by combining the conventional theory of magnetic oscillation with topological arguments that nodal loop semimetals…

Strongly Correlated Electrons · Physics 2018-05-16 László Oroszlány , Balázs Dóra , József Cserti , Alberto Cortijo

Recently, it was pointed out that all chiral crystals with spin-orbit coupling (SOC) can be Kramers Weyl semimetals (KWSs) which possess Weyl points pinned at time-reversal invariant momenta. In this work, we show that all achiral…

Mesoscale and Nanoscale Physics · Physics 2021-05-26 Ying-Ming Xie , Xue-Jian Gao , Xiao Yan Xu , Cheng-Ping Zhang , Jin-Xin Hu , Jason Z. Gao , K. T. Law

Topological Weyl semimetals (TWS) can be classified as type-I TWS, in which the density of states vanishes at the Weyl nodes, and type-II TWS where an electron and a hole pocket meet with finite density of states at the nodal energy. The…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Timothy M. McCormick , Itamar Kimchi , Nandini Trivedi

Topological states of matter possess bulk electronic structures categorized by topological invariants and edge/surface states due to the bulk-boundary correspondence. Topological materials hold great potential in the development of…

By using first-principles calculations, we propose that WC-type ZrTe is a new type of topological semimetal (TSM). It has six pairs of chiral Weyl nodes in its first Brillouin zone, but it is distinguished from other existing TSMs by having…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Hongming Weng , Chen Fang , Zhong Fang , Xi Dai

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

We study three-dimensional nodal line semimetals (NLSMs) with magnetic ordering and strong spin-orbit interaction. Two distinct classes of magnetic NLSMs are proposed. The first class is band-inversion NLSM where the accidental line node is…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Jing Wang

Weyl semimetal (WSM), a novel state of quantum matter, hosts Weyl fermions as emergent quasiparticles resulting from the breaking of either inversion or time-reversal symmetry. Magnetic WSMs that arise from broken time-reversal symmetry…

Nodal-line semimetals (NLSMs) contains Dirac/Weyl type band-crossing nodes extending into shapes of line, loop and chain in the reciprocal space, leading to novel band topology and transport responses. Robust NLSMs against spin-orbit…

Topological materials discovery has evolved at a rapid pace over the past 15 years following the identification of the first nonmagnetic topological insulators (TIs), topological crystalline insulators (TCIs), and 3D topological semimetals…

To realize novel topological phases and to pursue potential applications in low-energy consumption spintronics, the study of magnetic topological materials is of great interest. Starting from the theory of nonmagnetic topological quantum…

Materials Science · Physics 2022-08-03 Jiacheng Gao , Zhaopeng Guo , Hongming Weng , Zhijun Wang

Topological nodal-line semimetals (TNLSMs) are materials whose conduction and valence bands cross each other, meeting a topologically-protected closed loop rather than discrete points in the Brillouin zone (BZ). The anticipated properties…

Since the prediction and observation of topological Weyl semimetals (chiral TSMs), there have been enormous efforts to characterize further condensed matter realizations of chiral fermions. These efforts were dramatically accelerated by the…

Mesoscale and Nanoscale Physics · Physics 2025-12-24 Justin Schirmann , Adolfo G. Grushin , Benjamin J. Wieder

Topological nodal-line semimetals (NLSMs) are a new family of topological materials characterized by electronic band crossings that form lines in the Brillouin zone. These NLSMs host exotic nodal-line structures and exhibit distinct…

Strongly Correlated Electrons · Physics 2025-10-30 Po-Yao Chang

The antiferromagnetic (AFM) semimetal YbMnSb$_2$ has recently been identified as a candidate topological material, driven by time-reversal symmetry breaking. Depending on the ordered arrangement of Mn spins below the N\'{e}el temperature,…

As the development of topological band theory, comprehensive databases about time reversal and crystalline symmetries protected nonmagnetic topological materials were developed via first-principles calculations recently. However, owing to…

Materials Science · Physics 2020-04-06 Qiunan Xu , Yang Zhang , Klaus Koepernik , Wujun Shi , Jeroen van den Brink , Claudia Felser , Yan Sun

Topological quantum materials have emerged as a frontier in condensed matter physics as well as in materials science, with intriguing electronic states that are robust to perturbations. Among the diverse structural motifs, kagome, chiral,…