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In this work, we exhaust all the spin-space symmetries, which fully characterize collinear, non-collinear, commensurate, and incommensurate spiral magnetism, and investigate enriched features of electronic bands that respect these…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Zhenyu Xiao , Jianzhou Zhao , Yanqi Li , Ryuichi Shindou , Zhi-Da Song

Spin-space groups (SSGs), including the traditional space groups (SGs) and magnetic space groups (MSGs) as subsets, describe the complete symmetries of magnetic materials with weak spin-orbit coupling (SOC). In the present work, we…

Materials Science · Physics 2025-04-08 Ziyin Song , A. Z. Yang , Yi Jiang , Zhong Fang , Jian Yang , Chen Fang , Hongming Weng , Zheng-Xin Liu

Those fundamental physical properties, such as phase transitions, Weyl fermions, and spin excitation, in all magnetic ordered materials, were ultimately believed to rely on the symmetry theory of magnetic space groups. Recently, it has come…

Materials Science · Physics 2024-09-04 Xiaobing Chen , Jun Ren , Yanzhou Zhu , Yutong Yu , Ao Zhang , Pengfei Liu , Jiayu Li , Yuntian Liu , Caiheng Li , Qihang Liu

Magnetism has witnessed remarkable progress in recent decades, largely driven by its potential for next-generation storage devices. However, the classification of magnetic orders, even for fundamental concepts such as ferromagnetism and…

Materials Science · Physics 2026-04-24 Yuntian Liu , Xiaobing Chen , Yutong Yu , Jesús Etxebarria , J. Manuel Perez-Mato , Qihang Liu

Given the scarcity of experimentally confirmed magnetic structures, the reliable prediction of magnetic ground states is crucial; however, it remains a long-sought challenge because of the complex magnetic potential energy landscape. Here,…

Materials Science · Physics 2025-12-29 Yuhui Li , Sike Zeng , Xiaobing Chen , Renzheng Xiong , Yutong Yu , Yu-Jun Zhao , Qihang Liu

Symmetries of three-dimensional periodic scalar fields are described by 230 space groups (SGs). Symmetries of three-dimensional periodic (pseudo-) vector fields, however, are described by the spin-space groups (SSGs), which were initially…

Materials Science · Physics 2024-09-02 Yi Jiang , Ziyin Song , Tiannian Zhu , Zhong Fang , Hongming Weng , Zheng-Xin Liu , Jian Yang , Chen Fang

Unconventional magnets that combine antiferromagnetic structures with ferromagnetic-like responses are essential for the development of next-generation spintronics. Their emergent properties are fundamentally dictated by the interplay…

Materials Science · Physics 2026-04-24 Yutong Yu , Xiaobing Chen , Yanzhou Zhu , Yuhui Li , Renzheng Xiong , Jiayu Li , Yuntian Liu , Qihang Liu

Magnetic order is a fundamental property of materials, governing collective behavior and enabling a broad range of functionalities. Yet magnetic structure remains difficult to determine: experiments are costly and specialized, while…

Magnetic structures, which play a central role in determining their physical properties, are known for only very limited compounds. Traditional theoretical approaches to predicting magnetic structures predominantly rely on first-principles…

Spin space groups (SSGs) impose fundamentally different constraints on magnetic configurations in real and reciprocal spaces. As a consequence, the correspondence between real-space and momentum-space spin arrangements is far richer than…

Materials Science · Physics 2025-12-16 Ziyin Song , Ziyue Qi , Chen Fang , Zhong Fang , Hongming Weng

The cluster multipole (CMP) expansion for magnetic structures provides a scheme to systematically generate candidate magnetic structures specifically including noncollinear magnetic configurations adapted to the crystal symmetry of a given…

Materials Science · Physics 2021-02-19 Marie-Therese Huebsch , Takuya Nomoto , Michi-To Suzuki , Ryotaro Arita

Topological magnons have garnered significant interest for their potential in both fundamental research and device applications, owing to their exotic, uncharged, yet topologically protected boundary modes. However, their comprehension has…

Materials Science · Physics 2025-08-15 Xiaobing Chen , Yuntian Liu , Pengfei Liu , Yutong Yu , Jun Ren , Jiayu Li , Ao Zhang , Qihang Liu

We perform cosmological, hydrodynamic simulations of magnetic fields in galaxy clusters. The computational code combines the special-purpose hardware Grape for calculating gravitational interaction, and smooth-particle hydrodynamics for the…

Astrophysics · Physics 2007-05-23 Klaus Dolag , Matthias Bartelmann , Harald Lesch

Magnetic structures of the noncentrosymmetric magnet Sr$_2$MnSi$_2$O$_7$ were examined through neutron diffraction for powder and single-crystalline samples, as well as magnetometry measurements. All allowed magnetic structures under the…

Strongly Correlated Electrons · Physics 2024-10-08 Y. Nambu , M. Kawamata , X. Pang , H. Murakawa , M. Avdeev , H. Kimura , H. Masuda , N. Hanasaki , Y. Onose

We perform cosmological, hydrodynamic simulations of magnetic fields in galaxy clusters. The computational code combines the special-purpose hardware Grape for calculating gravitational interaction, and smooth-particle hydrodynamics for the…

Astrophysics · Physics 2007-05-23 Klaus Dolag , Matthias Bartelmann , Harald Lesch

We present an approach for the calculation of spin density distributions for molecules that require very large active spaces for a qualitatively correct description of their electronic structure. Our approach is based on the density-matrix…

Chemical Physics · Physics 2012-06-29 Katharina Boguslawski , Konrad H. Marti , Örs Legeza , Markus Reiher

Coupled spin-lattice dynamics (SLD) underlie a wide range of magnetic phenomena, yet a unified first-principles framework that propagates both degrees of freedom without empirical parameterization has remained elusive. We present a fully ab…

Materials Science · Physics 2026-05-05 Xianxi Zhang , Hongyu Yu , Liangliang Hong , Hongjun Xiang

Symmetry formulated by group theory plays an essential role with respect to the laws of nature, from fundamental particles to condensed matter systems. Here, by combining symmetry analysis and tight-binding model calculations, we elucidate…

Materials Science · Physics 2022-11-04 Pengfei Liu , Jiayu Li , Jingzhi Han , Xiangang Wan , Qihang Liu

It is widely accepted that spin-orbit coupling (SOC) generally locks spin and spatial degrees of freedom, as a result, the spin, despite being an axial vector, is fixed and cannot rotate independently, and the magnetic system should be…

Materials Science · Physics 2026-02-19 Yuxuan Mu , Di Wang , Xiangang Wan

Unconventional magnetism has typically been classified into two fundamental classes: even-parity magnets (EPMs) and odd-parity magnets (OPMs). These two classes exhibit identical and opposite spin splittings, respectively, under momentum…

Strongly Correlated Electrons · Physics 2026-03-10 Xun-Jiang Luo , Jin-Xin Hu , Mengli Hu , K. T. Law
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