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We propose a systematic method to generate a complete orthonormal basis set of multipole expansion for magnetic structures in arbitrary crystal structure. The key idea is the introduction of a virtual atomic cluster of a target crystal, on…

Computational Physics · Physics 2019-05-15 M. -T. Suzuki , T. Nomoto , R. Arita , Y. Yanagi , S. Hayami , H. Kusunose

Motivated by the idea of using simple macroscopic examples to illustrate the physics of complex systems, we modify a historic experimental setup in which interacting floating magnets spontaneously self-assemble into ordered clusters. By…

Soft Condensed Matter · Physics 2024-12-20 P. D. S. de Lima , A. Lyons , A. Irannezhad , J. M. de Araújo , S. Hutzler , M. S. Ferreira

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

We present a multi-scale computational approach that combines atomistic spin models with the cluster multipole (CMP) method. The CMP method enables a systematic and accurate generation of complex non-collinear magnetic structures using…

Materials Science · Physics 2025-03-06 Juba Bouaziz , Takuya Nomoto , Ryotaro Arita

We analyze third-harmonic generation from high-index dielectric nanoparticles and discuss the basic features and multipolar nature of the parametrically generated electromagnetic fields near the Mie-type optical resonances. By combining…

From new neutron powder diffraction experiments on the chiral cubic ($P2{_1}3$) magnet manganese germanide MnGe, we analyse all of the possible crystal symmetry-allowed magnetic superstructures that are determined successfully from the…

Strongly Correlated Electrons · Physics 2023-01-18 V. Pomjakushin , I. Plokhikh , J. S. White , Y. Fujishiro , N. Kanazawa , Y. Tokura , E. Pomjakushina

Cluster magnetic multipoles are order parameters that describe the symmetry of spin arrangements in magnetic materials. High-order multipoles are particularly important in non-collinear antiferromagnets, where they determine key physical…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Myoung-Woo Yoo , Axel Hoffmann

Magnetic diffraction patterns which exhibit more than one discrete set of symmetry related peaks have been explained by the simultaneous coexistence of more than one magnetic polarisation and propagation vector, k, in the scattering…

Other Condensed Matter · Physics 2007-05-23 E. Blackburn , N. Bernhoeft

Altermagnetism, as an unconventional antiferromagnetism, exhibits collinear-compensated magnetic order in real space and spin-splitting band structure in reciprocal space. In this work, we propose a general approach to generating…

Materials Science · Physics 2025-05-15 Hongjie Peng , Sike Zeng , Ji-Hai Liao , Chang-Chun He , Xiao-Bao Yang , Yu-Jun Zhao

We study the self-assembly of magnetic colloids using the Stockmayer (SM) model characterized by short-range Lennard-Jones interactions and long-range dipole-dipole interactions. Using molecular dynamics simulations, we design cooling…

Soft Condensed Matter · Physics 2025-06-30 Anuj Kumar Singh , Sanjay Puri , Varsha Banerjee

We introduce a cluster extension of multipole moments to discuss the anomalous Hall effect (AHE) in both ferromagnetic (FM) and antiferromagnetic (AFM) states in a unified framework. We first derive general symmetry requirements for the AHE…

Materials Science · Physics 2017-03-15 Michi-To Suzuki , Takashi Koretsune , Masayuki Ochi , Ryotaro Arita

The forthcoming new-generation radio telescope SKA (Square Kilometre Array) and its precursors will provide a rapidly growing number of polarized radio sources. Our analysis aims on what can be learned from these sources concerning the…

Astrophysics · Physics 2009-11-13 Rodion Stepanov , Tigran G. Arshakian , Rainer Beck , Peter Frick , Marita Krause

Colloidal self-replication represents an exciting research frontier in soft matter physics. Currently, all reported self-replication schemes involve coating colloidal particles with stimuli-responsive molecules to allow switchable…

Soft Condensed Matter · Physics 2015-11-10 J. M. Dempster , R. Zhang , M. Olvera de la Cruz

We propose a framework for generating magnetic structures, inspired by the concept of oriented spin space groups (SSGs): magnetic structures are first generated as totally symmetric representations of an SSG and are then rotated such that…

Materials Science · Physics 2026-01-23 Takuya Nomoto , Kohei Shinohara , Hikaru Watanabe , Ryotaro Arita

We study the electronic and magnetic structures of multiferroic CaMn$_7$O$_{12}$ by first-principle calculations, based on the experimentally determined modulated crystal structure. We confirm the presence of a 3$d$ orbital modulation of…

Materials Science · Physics 2015-06-23 Kun Cao , Roger D. Johnson , Natasha Perks , Feliciano Giustino , Paolo G. Radaelli

Magnetic multipoles have been recognized as order parameters characterizing magnetic structure in solids. Recently, magnetic octupoles have been proposed as the order parameters of time-reversal-symmetry breaking centrosymmetric…

Mesoscale and Nanoscale Physics · Physics 2026-02-06 Takumi Sato , Satoru Hayami

The optical Hall response is theoretically studied for spin-orbit coupled metals with ferroic orders of cluster-type magnetic multipoles. We find that different magnetic multipoles give rise to distinct spectra in the optical Hall…

Strongly Correlated Electrons · Physics 2021-02-16 Tatsuki Sato , Yuma Umimoto , Yusuke Sugita , Yasuyuki Kato , Yukitoshi Motome

We have developed a symmetry-adapted modeling procedure for molecules and crystals. By using the completeness of multipoles to express spatial and time-reversal parity-specific anisotropic distributions, we can generate systematically the…

Materials Science · Physics 2023-05-12 Hiroaki Kusunose , Rikuto Oiwa , Satoru Hayami

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

Surprising enhancement of the magnetic moments recently observed in dilute Co-Mn alloy clusters is explained using ab initio electronic structure calculations. The calculated magnetic moments generally agree with the reported experimental…

Atomic and Molecular Clusters · Physics 2009-08-18 M. Pereiro , D. Baldomir , J. E. Arias
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