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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

d-wave altermagnets have the magnetic octupole as their primary order parameter. A recent study [Han et al. arXiv 2409.14423 (2024)] demonstrated that magnetic octupole current can induce N\'eel vector dynamics. Therefore, identifying…

Materials Science · Physics 2025-07-08 Insu Baek , Seungyun Han , Hyun-Woo Lee

Order parameters not only characterize symmetry-broken equilibrium phases but also govern transport phenomena in the nonequilibrium regime. Altermagnets, a class of magnetic systems integrating ferromagnetic and antiferromagnetic features,…

Materials Science · Physics 2025-08-04 Hye-Won Ko , Kyung-Jin Lee

Altermagnets, a class of unconventional antiferromagnets where antiparallel spins are connected by combined rotational and translational symmetries, have recently emerged as promising candidates for spintronic applications, as they can…

Materials Science · Physics 2026-04-07 Ryosuke Hirakida , Karma Tenzin , Chao Chen Ye , Berkay Kilic , Carmine Autieri , Jagoda Sławińska

We show that time-reversal symmetry broken, centrosymmetric antiferromagnets with nonrelativistic spin-splitting are conveniently described in terms of the ferroic ordering of magnetic octupoles. The magnetic octupoles are the lowest-order…

Strongly Correlated Electrons · Physics 2025-06-10 Sayantika Bhowal , Nicola A. Spaldin

Efficient transport of spin and orbital moments, and their electrical detection, are among the main challenges in spintronics and orbitronics. In magnetic insulators, these currents are mediated by magnons. In addition to carrying spin and…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Sankar Sarkar , Amit Agarwal

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

CeB6, a typical Gamma_8-quartet system, exhibits a mysterious antiferroquadrupolar ordered phase in magnetic fields, which is considered as originating from the T_{xyz}-type magnetic octupole moment induced by the field. By resonant x-ray…

Strongly Correlated Electrons · Physics 2015-05-13 Takeshi Matsumura , Takumi Yonemura , Keisuke Kunimori , Masafumi Sera , Fumitoshi Iga

In contrast to elementary Majorana particles, emergent Majorana fermions (MFs) in condensed-matter systems may have electromagnetic multipoles. We developed a general theory of magnetic multipoles for surface helical MFs on…

Superconductivity · Physics 2019-09-04 Shingo Kobayashi , Ai Yamakage , Yukio Tanaka , Masatoshi Sato

Droplet solitons are coherently precessing solitary waves that have been recently realized in thin ferromagnets with perpendicular anisotropy.In the strongly nonlinear regime, droplets can be well approximated by a slowly precessing,…

Pattern Formation and Solitons · Physics 2013-11-12 Lake Bookman , Mark Hoefer

Magnetic ordering beyond the standard dipolar order has attracted significant attention in recent years, but it remains an open question how to effectively manipulate such nontrivial order parameters using external perturbations. In this…

Materials Science · Physics 2023-09-08 Muhammad Tahir , Hua Chen

We examine contributions to the dc-current of mesoscopic samples which are non-linear in applied voltage. In the presence of a magnetic field, the current can be decomposed into components which are odd (antisymmetric) and even (symmetric)…

Mesoscale and Nanoscale Physics · Physics 2007-10-27 M. L. Polianski , M. Buttiker

Altermagnets host an array of magnetic multipoles, which are often visualized and studied in the reciprocal space. In the real space, the relative phase of the multipoles of the spin-density around atoms determines whether a system is an…

Materials Science · Physics 2026-01-01 Luca Buiarelli , Rafael M. Fernandes , Turan Birol

Violation of parity symmetry gives rise to various physical phenomena such as nonlinear transport and cross-correlated responses. In particular, the nonlinear conductivity has been attracting a lot of attentions in spin-orbit coupled…

Materials Science · Physics 2020-10-19 Hikaru Watanabe , Youichi Yanase

The discovery of unconventional antiferromagnets, such as altermagnets, has drawn significant attention to higher-rank magnetic multipoles, particularly magnetic octupoles. Despite the advances in research, attempts to understand their…

Materials Science · Physics 2025-10-10 Jun Ōiké , Robert Peters , Koki Shinada

Magneto-electric multipoles, which are odd under both space-inversion $\cal I$ and time-reversal $\cal T$ symmetries, are fundamental in understanding and characterizing magneto-electric materials. However, the detection of these…

Materials Science · Physics 2021-09-01 Sayantika Bhowal , Nicola A. Spaldin

Spin current plays a central role in spintronics for driving exotic spin-dependent phenomena and high-performance device applications. Recently, a magnetic spin Hall effect has been discovered in spin-split antiferromagnets including…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 Chang Pan , Shuai Hu , Fanli Yang , Dongchao Yang , Weijia Fan , Zhong Shi , Liqing Pan , Shiming Zhou , Xuepeng Qiu

In recent years, the concept of multipoles has been widely used to describe and classify various magnetic and electric responses in solids, providing a systematic way to identify symmetry-allowed or -forbidden physical responses.…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Yuuki Ogawa , Satoru Hayami

We report our theoretical results on spin conductivity in antiferromagnets by focusing on the role of the magnetic toroidal quadrupole (MTQ) in electron systems. The MTQ is characterized as a time-reversal-odd rank-2 polar tensor degree of…

Strongly Correlated Electrons · Physics 2022-05-18 Satoru Hayami , Megumi Yatsushiro

Magneto-optical effects (MOE), interfacing the fundamental interplay between magnetism and light, have served as a powerful probe for magnetic order, band topology, and valley index. Here, based on multiferroic and topological bilayer…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Jiaqi Feng , Xiaodong Zhou , Meiling Xu , Jingming Shi , Yinwei Li
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