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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

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

Topological states of matter have been a subject of intensive studies in recent years because of their exotic properties such as the topologically protected edge and surface states. The initial studies were exclusively for electron systems.…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Ying Su , X. S. Wang , X. R. Wang

Insulating states can be topologically nontrivial, a well-established notion that is exemplified by the quantum Hall effect and topological insulators. By contrast, topological metals have not been experimentally evidenced until recently.…

Strongly Correlated Electrons · Physics 2018-01-09 Hsin-Hua Lai , Sarah E. Grefe , Silke Paschen , Qimiao Si

Magnetic topological quantum materials have attracted great attention due to their exotic topological quantum physics induced by the interplay among crystalology, magnetism, and topology, which is of profound importance to fundamental…

Materials Science · Physics 2021-03-02 Xinlei Zhao , Peng-jie Guo , Fengjie Ma , Zhong-Yi Lu

Quantum topological materials, exemplified by topological insulators, three-dimensional Dirac semimetals and Weyl semimetals, have attracted much attention recently because of their unique electronic structure and physical properties. Very…

Weyl semimetals and higher-order topological insulators represent two fundamental yet distinct classes of topological matter. While both have been extensively studied in classical-wave systems, their coexistence and controllable transition…

Mesoscale and Nanoscale Physics · Physics 2025-08-28 Yu-Hong Han , Yi Li , Feng Mei , Liantuan Xiao , Suotang Jia

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

We discover three-dimensional intertwined Weyl phases, by developing a theory to create topological phases. The theory is based on intertwining existing topological gapped and gapless phases protected by the same crystalline symmetry. The…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 W. B. Rui , Zhen Zheng , Moritz M. Hirschmann , Song-Bo Zhang , Chenjie Wang , Z. D. Wang

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

The discovery of topological semimetals with multifold band crossings has opened up a new and exciting frontier in the field of topological physics. These materials exhibit large Chern numbers, leading to long double Fermi arcs on their…

Topological quantum materials, including topological insulators and superconductors, Dirac semimetals and Weyl semimetals, have attracted much attention recently for their unique electronic structure, spin texture and physical properties.…

Topological heavy-fermion systems in three dimensions are usually classified as topological insulators or semimetals. Here, we theoretically predict a different type of heavy-fermion system (dubbed exceptional heavy-fermion semimetal) by…

Strongly Correlated Electrons · Physics 2023-02-01 Yu-Liang Tao , Tao Qin , Yong Xu

Recent theoretical and experimental attemps have been successful in finding magnetic Weyl semimetal phases, which show both nodal-point structure in the electronic bands and magnetic orders. Beyond uniform ferromagnetic or antiferromagnetic…

Mesoscale and Nanoscale Physics · Physics 2019-10-18 Yasufumi Araki

Exhaustive study of topological semimetal phases of matter in equilibriated electonic systems and myriad extensions has built upon the foundations laid by earlier introduction and study of the Weyl semimetal, with broad applications in…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Adipta Pal , Joe H. Winter , Ashley M. Cook

The discovery of topological states of matter has led to a revolution in materials research. When external or intrinsic parameters break certain symmetries, global properties of topological materials change drastically. A paramount example…

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…

In this article, we provide an overview of the basic concepts of novel topological materials. This new class of materials developed by combining the Weyl/Dirac fermionic electron states and magnetism, provide a materials-science platform to…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Vishal Bhardwaj , Ratnamala Chatterjee

For first-order topological semimetals, non-Hermitian perturbations can drive the Weyl nodes into Weyl exceptional rings having multiple topological structures and no Hermitian counterparts. Recently, it was discovered that higher-order…

Mesoscale and Nanoscale Physics · Physics 2021-11-11 Tao Liu , James Jun He , Zhongmin Yang , Franco Nori

Characterized by bulk Dirac or Weyl cones and surface Fermi-arc states, topological semimetals have sparked enormous research interest in recent years. The nanostructures, with large surface-to-volume ratio and easy field-effect gating,…

Mesoscale and Nanoscale Physics · Physics 2020-05-01 An-Qi Wang , Xing-Guo Ye , Da-Peng Yu , Zhi-Min Liao
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