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We review recent theoretical and experimental developments in magnetic Weyl semimetals, focusing on the electromagnetic responses emerging from the interplay of their electronic band topology and magnetism. We begin by introducing the…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Akihiro Ozawa , Yasufumi Araki , Koji Kobayashi , Kentaro Nomura

Recent interest in topological semimetals has lead to the proposal of many new topological phases that can be realized in real materials. Next to Dirac and Weyl systems, these include more exotic phases based on manifold band degeneracies…

The body-centered-tetragonal antiferromagnet EuGa$_4$ was recently identified as a Weyl nodal-line semimetal that exhibits the topological Hall effect below its reported antiferromagnetic (AFM) ordering temperature $T_{\rm N}= 15$-16.5 K…

Strongly Correlated Electrons · Physics 2023-02-08 Santanu Pakhira , D. C. Johnston

The interplay between magnetic ordering and band topology has emerged as a fertile ground for discovering novel quantum states with profound implications for fundamental physics and next-generation electronics. Here, we theoretically…

Materials Science · Physics 2025-05-09 Qingqing Li , Li Chen , Run-Wu Zhang , Botao Fu

Weyl semimetals (WSM) are a new class of topological materials that exhibit a bulk Hall effect due to time-reversal symmetry breaking, as well as a chiral magnetic effect due to inversion symmetry breaking. These unusual electromagnetic…

High Energy Physics - Theory · Physics 2019-05-01 A. Martín-Ruiz , M. Cambiaso , L. F. Urrutia

Magnets, with topologically-nontrivial Dirac/Weyl points, have recently attracted significant attention owing to the unconventional physical properties, such as large anomalous Hall effects. However, they typically have a high carrier…

Strongly Correlated Electrons · Physics 2023-04-12 M. Kondo , M. Ochi , R. Kurihara , A. Miyake , Y. Yamasaki , M. Tokunaga , H. Nakao , K. Kuroki , T. Kida , M. Hagiwara , H. Murakawa , N. Hanasaki , H. Sakai

We use the first principles and effective Hamiltonian methods to study the electronic structure and magnetic properties of a recently synthesized layered antiferromagnetic square net topological semimetal EuZnSb$_2$ [1]. The main message of…

Materials Science · Physics 2022-12-21 Niraj Aryal , Qiang Li , A. M. Tsvelik , Weiguo Yin

It has recently been demonstrated that various topological states, including Dirac, Weyl, nodal-line, and triple-point semimetal phases, can emerge in antiferromagnetic (AFM) half-Heusler compounds. However, how to determine the AFM…

Mesoscale and Nanoscale Physics · Physics 2021-05-03 Cheng Chen , Huaiqiang Wang , Zhilong Yang , Haijun Zhang

Weyl semimetal may be thought of as a gapless topological phase protected by the chiral anomaly, where the symmetries involved in the anomaly are the $U(1)$ charge conservation and the crystal translational symmetry. The absence of a band…

Strongly Correlated Electrons · Physics 2020-03-09 Chong Wang , L. Gioia , A. A. Burkov

Weyl-Kondo semimetals are strongly correlated topological semimetals that develop through the cooperation of the Kondo effect with space group symmetries. The Kondo effect, capturing quantum fluctuations associated with strong correlations,…

Strongly Correlated Electrons · Physics 2024-10-25 Yuan Fang , Lei Chen , Andrey Prokofiev , Iñigo Robredo , Jennifer Cano , Maia G. Vergniory , Silke Paschen , Qimiao Si

Weyl semimetals are examples of a new class of topological states of matter which are gapless in the bulk with protected surface states. Their low energy sector is characterized by massless chiral fermions which are robust against…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Phillips , Vivek Aji

EuAuSb is a triangular-lattice Dirac semimetal in which a topological Hall effect has been observed to develop in association with a magnetically-ordered phase. Our single-crystal neutron diffraction measurements have identified an…

Strongly Correlated Electrons · Physics 2025-11-04 J. Sears , Juntao Yao , Zhixiang Hu , Wei Tian , Niraj Aryal , Weiguo Yin , A. M. Tsvelik , I. A. Zaliznyak , Qiang Li , J. M. Tranquada

Intrinsic ferromagnetism is a crucial ingredient to realize quantum anomalous Hall effect in quasi two dimensional materials, thus the search of intrinsic ferromagnetic topological materials is one of the most concerned issues in the field…

Historically, the genesis of anomalous Hall effect (AHE) in magnetic materials has always been a fascinating yet controversial topic in the solid state physics community. Recent progress on the understanding of this topic has revealed an…

Strongly Correlated Electrons · Physics 2021-11-29 Durgesh Singh , Jadupati Nag , Sankararao Yadam , V. Ganesan , Aftab Alam , K. G. Suresh

Magnetic Weyl semimetals (WSMs) bearing long-time pursuing are still very rare. We herein identified magnetic exchange induced Weyl state in EuCd2Sb2, a semimetal in type IV magnetic space group, via performing high magnetic field (B)…

The interplay between strong electron correlation and band topology is at the forefront of condensed matter research. As a direct consequence of correlation, magnetism enriches topological phases and also has promising functional…

Ferromagnetic Weyl semi-metals exhibit an anomalous Hall effect, a consequence of their topological properties. In the non-interacting case, the derivative of the orbital magnetization with respect to chemical potential is proportional to…

Strongly Correlated Electrons · Physics 2019-04-05 S. Acheche , R. Nourafkan , A. -M. S. Tremblay

We review our recent works on the quantum transport, mainly in topological semimetals and also in topological insulators, organized according to the strength of the magnetic field. At weak magnetic fields, we explain the negative…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 Hai-Peng Sun , Hai-Zhou Lu

We report the observation of anomalous Hall resistivity in single crystals of EuAl$_4$, a centrosymmetric tetragonal compound, which exhibits coexisting antiferromagnetic (AFM) and charge-density-wave (CDW) orders with onset at…

Strongly Correlated Electrons · Physics 2021-01-13 T. Shang , Y. Xu , D. J. Gawryluk , J. Z. Ma , T. Shiroka , M. Shi , E. Pomjakushina

Magnetic topological materials represent a class of compounds whose properties are strongly influenced by the topology of the electronic wavefunctions coupled with the magnetic spin configuration. Such materials can support chiral…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 B. Andrei Bernevig , Claudia Felser , Haim Beidenkopf