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Topology is a powerful tool for categorizing magnetization textures by defining a topological index in both two-dimensional (2D) systems, such as thin films or curved surfaces, and in 3D bulk systems. In the emerging field of 3D…

Three-dimensional magnetic nanostructures are an emerging platform capable of creating complex topological magnetic fields. The control of localized nanoscale magnetic fields is seen to be of importance for diverse areas from…

介观与纳米尺度物理 · 物理学 2024-10-31 John Fullerton , Charudatta Phatak

Topology optimization offers great opportunities to design permanent magnetic systems that have specific external field characteristics. Additive manufacturing of polymer bonded magnets with an end-user 3D printer can be used to manufacture…

Topological textures in magnetically ordered materials are important case studies for fundamental research with promising applications in data science. They can also serve as photonic elements to mold electromagnetic fields endowing them…

其他凝聚态物理 · 物理学 2025-12-19 Vakhtang Jandieri , Ramaz Khomeriki , Daniel Erni , Nicolas Tsagareli , Qian Li , Douglas H. Werner , Jamal Berakdar

Contrary to the electric charge that generates the electric field, magnetic charge (namely magnetic monopoles) does not exist in the elementary electromagnetism. Consequently, magnetic flux lines only form loops and cannot have a source or…

介观与纳米尺度物理 · 物理学 2019-10-09 Wenjie Xi , Wei Ku

In this paper, by the use of the topological current theory, the topological structures and the dynamic processes in thin-film ferromagnetic systems are investigated directly from viewpoint of topology. It is found that the topological…

介观与纳米尺度物理 · 物理学 2016-06-07 Jinlü Cao , Guo-Hong Yang , Ying Jiang

The past years have seen rapid progress in the classification of topological materials. These diagnostical methods are increasingly getting explored in the pertinent context of magnetic structures. We report on a general class of electronic…

介观与纳米尺度物理 · 物理学 2021-06-18 Adrien Bouhon , Gunnar F. Lange , Robert-Jan Slager

Magnetic topological defects are energetically stable spin configurations characterized by symmetry breaking. Vortices and skyrmions are two well-known examples of 2D spin textures that have been actively studied for both fundamental…

Altermagnetism has recently emerged as a third fundamental branch of magnetism, combining the vanishing net magnetization of antiferromagnets with the high-momentum-dependent spin splitting of ferromagnets. This study provides a…

介观与纳米尺度物理 · 物理学 2026-05-19 Manuel Calixto

We report the theoretical prediction and experimental observation of a new class of four-dimensional (4D) tensor singularities and their three-dimensional (3D) Euler-class descendants, protected by chiral and spacetime inversion symmetries…

量子物理 · 物理学 2026-05-19 Zhe Wang , Yan-Qing Zhu , Xinsheng Tan , Giandomenico Palumbo , Lichang Ji , Wei Xin , Shi-Liang Zhu , Yang Yu

Whirling topological textures play a key role in exotic phases of magnetic materials and offer promise for logic and memory applications. In antiferromagnets, these textures exhibit enhanced stability and faster dynamics with respect to…

Magnetic monopole, a hypothetical elementary particle with isolated magnetic pole, is crucial for the quantization of electric charge. In recent years, analogues of magnetic monopoles, represented by topological defects in parameter spaces,…

量子气体 · 物理学 2018-08-01 Haiping Hu , Chuanwei Zhang

Gauge field theory provides the mathematical and conceptual framework to describe and understand topological singularities such as Weyl points and magnetic monopoles. While singularities associated with vector electromagnetic gauge fields…

介观与纳米尺度物理 · 物理学 2025-04-18 Qingyang Mo , Shanjun Liang , Cuicui Lu , Jie Zhu , Shuang Zhang

The concepts of Weyl fermions and topological semimetals emerging in three-dimensional momentum space are extensively explored owing to the vast variety of exotic properties that they give rise to. On the other hand, very little is known…

Superconductors with nontrivial band structure topology represent a class of materials with unconventional and potentially useful properties. Recent years have seen much success in creating artificial hybrid structures exhibiting main…

The emergence of complex modulated structures in the magnetization pattern of thin films is a well-established experimental phenomenology caused by the frustrating effects of competing interactions. Using a coarse-grained version of the…

In crystalline systems with a superstructure, the electron dispersion can form a nontrivial covering of the Brillouin zone. It is proved that the number of sheets in this covering and its monodromy are topological invariants under ambient…

其他凝聚态物理 · 物理学 2026-04-30 Yu. B. Kudasov

At high densities fluids of strongly dipolar spherical particles exhibit spontaneous long-ranged orientational order. Typically, due to demagnetization effects induced by the long range of the dipolar interactions, the magnetization…

软凝聚态物质 · 物理学 2009-10-30 B. Groh , S. Dietrich

Bloch points are three-dimensional topological singularities in magnetization that play a key role in topological transformations of spin textures, such as skyrmion creation or annihilation. While topology often enforces the existence of…

We present a theoretical investigation of electron states hosted by magnetic domain walls on the 3D topological insulator surface. The consideration includes the domain walls with distinct vectorial and spatial textures. The study is…

介观与纳米尺度物理 · 物理学 2021-07-21 I. P. Rusinov , V. N. Men'shov , E. V. Chulkov
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