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A Weyl semimetal possesses spin-polarized band-crossings, called Weyl nodes, connected by topological surface arcs. The low-energy excitations near the crossing points behave the same as massless Weyl fermions, leading to exotic properties…

The recent discovery of Weyl fermions in solids enables exploitation of relativistic physics and development of a spectrum of intriguing physical phenomena. They are constituted of pairs of Weyl points with two-fold band degeneracy, which…

In the rapidly expanding field of topological materials there is growing interest in systems whose topological electronic band features can be induced or controlled by magnetism. Magnetic Weyl semimetals, which contain linear band crossings…

The last decade has witnessed great advancements in the science and engineering of systems with unconventional band structures, seeded by studies of graphene and topological insulators. While the band structure of graphene simulates…

Strongly Correlated Electrons · Physics 2013-12-09 Pavan Hosur , Xiaoliang Qi

Following the discovery of topological insulators (TIs), topological Dirac/Weyl semimetal has attracted much recent interest. A prevailing mechanism for the formation of Weyl points is by breaking time-reversal symmetry (TRS) or spatial…

Mesoscale and Nanoscale Physics · Physics 2019-05-23 Yinong Zhou , Kyung-Hwan Jin , Huaqing Huang , Zhengfei Wang , Feng Liu

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 metal is the first example of a conducting material with a nontrivial electronic structure topology, making it distinct from an ordinary metal. Unlike in insulators, the nontrivial topology is not related to invariants, associated with…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 A. A. Burkov

We construct a tight-binding model realizing one pair of Weyl nodes and three distinct Weyl semimetals. In the type-I (type-II) Weyl semimetal, both nodes belong to type-I (type-II) Weyl nodes. In addition, there exists a novel type, dubbed…

Mesoscale and Nanoscale Physics · Physics 2016-09-14 Fei-Ye Li , Xi Luo , Xi Dai , Yue Yu , Fan Zhang , Gang Chen

Weyl semimetals are recently discovered materials supporting emergent relativistic fermions in the vicinity of band-crossing points known as Weyl nodes. The positions of the nodes and the low-energy spectrum depend sensitively on the…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Alex Westström , Teemu Ojanen

Weyl semimetals (WSMs) constitute a 3D phase with linearly-dispersing Weyl excitations at low energy, which lead to unusual electrodynamic responses and open Fermi arcs on boundaries. We derive a simple criterion to identify and…

Strongly Correlated Electrons · Physics 2014-10-28 William Witczak-Krempa , Michael Knap , Dmitry Abanin

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

Weyl semimetals are well-known for hosting topologically protected linear band crossings, serving as the analog of the relativistic Weyl Fermions in the condensed matter context. Such analogy persists deeply, allowing the existence of the…

Mesoscale and Nanoscale Physics · Physics 2024-02-15 Yang Gao

Three-dimensional (3D) topological Weyl semimetals (TWSs) represent a novel state of quantum matter with unusual electronic structures that resemble both a "3D graphene" and a topological insulator by possessing pairs of Weyl points…

Higher-order topology yields intriguing multidimensional topological phenomena, while Weyl semimetals have unconventional properties such as chiral anomaly. However, so far, Weyl physics remain disconnected with higher-order topology. Here,…

Materials Science · Physics 2020-10-07 Hai-Xiao Wang , Zhi-Kang Lin , Bin Jiang , Guang-Yu Guo , Jian-Hua Jiang

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…

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

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

The Fermi arcs of topological surface states in the three-dimensional multi-Weyl semimetals on surfaces by a continuum model are investigated systematically. We calculated analytically the energy spectra and wave function for bulk…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Y. C. Liu , V. Wang , J. B. Lin , J. Nara

We investigate the topological properties of modified Dirac Hamiltonians with an altermagnetic mass term and reveal a novel mechanism for realizing altermagnetic Weyl semimetals. Unlike the conventional Wilson mass, the altermagnetic mass…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Yu-Hao Wan , Cheng-Ming Miao , Peng-Yi Liu , Qing-Feng Sun

We propose a different route to time-reversal invariant Weyl semimetals employing multilayer heterostructures comprising ordinary "trivial" insulators and nontrivial insulators with \textit{pairs} of protected Dirac cones on the surface. We…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Alexander Lau , Carmine Ortix