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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

Altermagnetism stands as a third type of collinear magnetic order, whose band structure combines a net zero magnetization with a non-relativistic spin-splitting caused by a broken time reversal symmetry. So far, the strategy to design…

Mesoscale and Nanoscale Physics · Physics 2025-08-06 Ricardo Ortiz , Karol Strutyński , Manuel Melle-Franco

Weyl semimetals are a three dimensional gapless topological phase in which bands intersect at arbitrary points -- the Weyl nodes -- in the Brillouin zone. These points carry a topological quantum number known as the \emph{chirality} and…

Strongly Correlated Electrons · Physics 2015-03-05 Pavan Hosur , Xiao-Liang Qi

We theoretically explore higher-order topological magnons in collinear altermagnets, encompassing a dimensional hierarchy ranging from localized corner modes to propagating hinge excitations. By employing antiferromagnetic interlayer…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Xuan Guo , Meng-Han Zhang , Dao-Xin Yao

Recently, altermagnets demonstrate numerous newfangle physical phenomena due to their inherent antiferromagnetic coupling and spontaneous spin splitting, that are anticipated to enable innovative spintronic devices. However, the rare…

Materials Science · Physics 2025-04-28 Xin Hu , Weihang Zhao , Wenjun Xia , Hanbo Sun , Chao Wu , Yin-Zhong Wu , Ping Li

Weyl semimetal is a topologically non-trivial phase of matter with pairs of Weyl nodes in the k-space, which act as monopole and anti-monopole pairs of Berry curvature. Two hallmarks of the Weyl metallic state are the topological surface…

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

Topological phases of matter have established a new paradigm in physics, bringing quantum phenomena to the macroscopic scale and hosting exotic emergent quasiparticles. In this thesis, I theoretically and experimentally demonstrate with my…

Strongly Correlated Electrons · Physics 2020-11-03 Ilya Belopolski

Semimetals, in which conduction and valence bands touch but do not form Fermi surfaces, have attracted considerable interest for their anomalous properties starting with the discovery of Dirac matter in graphene and other two-dimensional…

Strongly Correlated Electrons · Physics 2018-09-11 Dennis Wawrzik , David Lindner , Maria Hermanns , Simon Trebst

In this work, we propose a ferromagnetic Bi$_2$Se$_3$ as a candidate to hold the coexistence of Weyl- and nodal-line semimetal phases, which breaks the time reversal symmetry. We demonstrate that the type-I Weyl semimetal phase, type-I-,…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 M. N. Chen , W. C. Chen , Yu Zhou

We consider the minimal coupling of a thin film Dirac semimetal Hamiltonian to a generic spin-texture. A simple unitary transformation gauges away the spatial dependence in the exchange term, leading to the generation of effective…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Pritam Chatterjee , Anirudha Menon

Altermagnets constitute an emerging class of collinear magnets that exhibit zero net magnetization yet host spin-split electronic bands arising from non-relativistic spin-space-group symmetries. Realization of altermagnetism in the…

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

Weyl semimetals are three-dimensional crystalline systems where pairs of bands touch at points in momentum space, termed Weyl nodes, that are characterized by a definite topological charge: the chirality. Consequently, they exhibit the…

Strongly Correlated Electrons · Physics 2015-10-05 S. A. Parameswaran , T. Grover , D. A. Abanin , D. A. Pesin , A. Vishwanath

We propose a new topological quantum state of matter---the two-dimensional (2D) Weyl half semimetal (WHS), which features 2D Weyl points at Fermi level belonging to a single spin channel, such that the low-energy electrons are described by…

Materials Science · Physics 2019-08-28 Jing-Yang You , Cong Chen , Zhen Zhang , Xian-Lei Sheng , Shengyuan A. Yang , Gang Su

In this review we discuss a wide range of topological properties of electron quasiparticles in Dirac and Weyl semimetals. Their nontrivial topology is quantified by a monopole-like Berry curvature in the vicinity of Weyl nodes, as well as…

Mesoscale and Nanoscale Physics · Physics 2018-06-26 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

Altermagnetic materials combine compensated magnetic order with momentum-dependent spin splitting, offering a fundamentally new route for spintronic functionality beyond conventional ferromagnets and antiferromagnets. While most studies…

Materials Science · Physics 2026-01-13 J. W. González , T. Brumme , E. Suárez Morell , A. M. León

Topological magnon insulators constitute a growing field of research for their potential use as information carriers without heat dissipation. We report an experimental and theoretical study of the magnetic ground-state and excitations in…

Strongly Correlated Electrons · Physics 2022-07-19 C. Wessler , B. Roessli , K. W. Krämer , U. Stuhr , A. Wildes , H. B. Braun , M. Kenzelmann

Based on $ab$ $initio$ calculations and low-energy effective $k{\cdot}p$ model, we propose a type of Weyl nodal point-line fermion, composed of 0D Weyl points and 1D Weyl nodal line, in ferromagnetic material Eu$_5$Bi$_3$. In the absence of…

Materials Science · Physics 2019-09-13 Hongbo Wu , Da-Shuai Ma , Botao Fu , Wei Guo , Yugui Yao

The synergy between real and reciprocal space topology is anticipated to yield a diverse array of topological properties in quantum materials. We address this pursuit by achieving topologically safeguarded magnetic order in novel Weyl…