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Magnetic effects originating from spin-orbit coupling (SOC) have been attracting major attention. However, SOC contributions to the electron magnetic moment operator are conventionally disregarded. In this work, we analyze relativistic…

Mesoscale and Nanoscale Physics · Physics 2026-04-13 I. A. Ado , M. Titov , Rembert A. Duine , Arne Brataas

Altermagnets exhibit spontaneously spin-split electronic bands in the zero spin-orbit coupling (SOC) limit arising from the presence of collinear compensated magnetic order. The distinctive magneto-crystalline symmetries of altermagnets…

Strongly Correlated Electrons · Physics 2025-10-03 Hana Schiff , Paul McClarty , Jeffrey G. Rau , Judit Romhanyi

The magnetization reversal in a single molecular magnet (SMM) weakly coupled to an electrode with spin-dependent splitting of chemical potentials (spin bias) is theoretically investigated by means of the rate equation. A microscopic…

Mesoscale and Nanoscale Physics · Physics 2009-05-14 Hai-Zhou Lu , Bin Zhou , Shun-Qing Shen

Spin splitting underpins a vast range of spin-dependent phenomena. Traditionally, two primary mechanisms generate such splitting: relativistic spin-orbit coupling (SOC) and nonrelativistic magnetic exchange coupling (MEC). Governed by…

Materials Science · Physics 2026-05-08 Xiao-Jiao Wang , Dongling Liu , Di Zhu , Zheng-Yang Zhuang , Zhongbo Yan

We extend a microscopic theory of polarization and magnetization to include the spin degree of freedom of the electrons, introducing a general spin orbit coupling and Zeeman interaction term in the Hamiltonian. At finite frequencies and…

Mesoscale and Nanoscale Physics · Physics 2023-07-11 Alistair H. Duff , J. E. Sipe

The recent discovery of altermagnetism has sparked growing interest in compensated magnetic systems as promising platforms for highly scalable spintronics. Altermagnetism is a distinct magnetic order where opposite spin sublattices are…

The search for novel magnetic quantum phases, phenomena and functional materials has been guided by relativistic magnetic-symmetry groups in coupled spin and real space from the dawn of the field in 1950s to the modern era of topological…

Mesoscale and Nanoscale Physics · Physics 2022-09-27 Libor Šmejkal , Jairo Sinova , Tomas Jungwirth

We revise existing group-theoretical approaches for a treatment of nonrelativistic collinear magnetic systems with perfect translation invariance. We show that full symmetry groups of these systems, which contain elements with independent…

Materials Science · Physics 2022-09-30 Ilja Turek

Compensated magnets with vanishing net magnetization can exhibit both pronounced spin splitting and unconventional band degeneracies. In altermagnets, such degeneracies are enforced by crystal and magnetic symmetries. In compensated…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Seung Hun Lee , Yuting Qian , Xi Dai , Bohm-Jung Yang

Theory of weak localization in two-dimensional high-mobility semiconductor systems is developed with allowance for the spin-orbit interaction. The obtained expressions for anomalous magnetoresistance are valid in the whole range of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. M. Glazov , L. E. Golub

We suggest a generalization of nonlinear $\sigma$-model for diffusive superconducting systems to account for magnetoelectric effects due to spin-orbit scattering. In the leading orders of spin-orbit strength and gradient expansion it…

Superconductivity · Physics 2021-09-02 P. Virtanen , F. S. Bergeret , I. V. Tokatly

Non-relativistic spin splitting in antiferromagnets has recently attracted considerable attention. Here we present a universal framework for controlling such spin splitting by identifying and manipulating the key atomic distortions that…

Materials Science · Physics 2025-09-25 Aniruddha Ray , Subhadeep Bandyopadhyay , Sayantika Bhowal

We theoretically study the spin-orbit crossed susceptibility of topological Dirac semimetals. Because of strong spin-orbit coupling, the orbital motion of electrons is modulated by Zeeman coupling, which contributes to orbital…

Mesoscale and Nanoscale Physics · Physics 2019-02-21 Yuya Ominato , Shuta Tatsumi , Kentaro Nomura

The aim of the paper is to contribute to reaching a deeper understanding of the formation of relativistic effects in altermagnets. The focus of the paper is on the phenomena of weak ferromagnetism (WFM) and relativistic DFT calculations…

Materials Science · Physics 2026-05-05 L. M. Sandratskii , K. Carva , V. M. Silkin

Magnons in antiferromagnets exhibit two chiral modes, providing an intrinsic degree of freedom for magnon-based computing architectures and spintronic devices. Electrical control of chiral splitting is crucial for applications, but remains…

Materials Science · Physics 2026-01-22 Yu Xie , Dinghui Wang , Chao Li , Xiaofan Shen , Junting Zhang

Boundary-dependent radiative corrections that modify the magnetic moment of an electron near a dielectric or conducting surface are investigated. Normal-mode quantization of the electromagnetic field and perturbation theory applied to the…

Quantum Physics · Physics 2013-02-12 Robert Bennett , Claudia Eberlein

A pair of magnetic atoms with canted spins Sa, Sb can give rise to an electric dipole moment P. Several forms for the behavior of such a moment have appeared in the theoretical literature, some of which have been invoked to explain…

Strongly Correlated Electrons · Physics 2013-05-29 T. A. Kaplan , S. D. Mahanti

The phenomenological theory of ferroelectricity in spiral magnets presented in [M. Mostovoy, Phys. Rev. Lett. 96, 067601 (2006)] is generalized to describe consistently states with both uniform and modulated-in-space ferroelectric…

Materials Science · Physics 2009-11-13 A. Cano , E. I. Kats

The recent research interests in the non-relativistic spin splitting of electronic band structures have led to the exploration of altermagnets and other compensated magnets. Here, we show that various types of non-relativistic spin…

Materials Science · Physics 2025-01-03 Yunsong Liu , Yanlong Liu , Xuefei Wang , Nan Xia , Guifang Xu , Yi Wang , Haifeng Wang , Weiwei Gao , Jijun Zhao

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
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