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Spin-orbit coupling of electrons with the crystal lattice plays a crucial role in materials without inversion symmetry, lifting spin degeneracy of the Bloch states and endowing the resulting nondegenerate bands with complex spin textures…

Other Condensed Matter · Physics 2015-05-13 K. V. Samokhin

Magnetic states with zero magnetization but non-relativistic spin splitting are outstanding candidates for the next generation of spintronic devices. Their electron-volt (eV) scale spin splitting, ultrafast spin dynamics and nearly…

Inversion-asymmetric antiferromagnets (AFMs) with odd-parity spin-polarization pattern have been proposed as a new venue for spintronics. These AFMs require commensurate ordering to ensure an effective time-reversal symmetry, which…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Changhee Lee , Nico A. Hackner , P. M. R. Brydon

We show that an electric field can induce nonreciprocal spin wave dispersion in magnetic insulators with negligible spin-orbit coupling. The electric field controls the direction and magnitude of nonreciprocity through a nonlinear…

Strongly Correlated Electrons · Physics 2025-07-15 Xiao-Hui Li , Yuan-Ming Lu , Yuan Wan

Nonlinear spintronics combines nonlinear dynamics with spintronics, opening up new possibilities beyond linear responses. A recent theoretical work [Xiao et al., Phys. Rev. Lett. 130, 166302 (2023)] predicts the nonlinear generation of spin…

Materials Science · Physics 2024-01-30 Insu Baek , Seungyun Han , Suik Cheon , Hyun-Woo Lee

These are lectures presented at the summer course on ``Low Dimensional Quantum Field Theories for Condensed Matter Physicists'', 24 Aug. to 4 Sep. 1992, Trieste, Italy. I review recent work, performed in collaboration primarily with N. Read…

Condensed Matter · Physics 2025-09-08 Subir Sachdev

We discuss a possibility of superconductivity in the p-wave magnets. These are recently discovered materials that have zero net magnetization by symmetry and finite non-relativistic spin splitting of electron bands, like in altermagnets.…

Superconductivity · Physics 2026-01-28 Maxim Khodas , Libor Šmejkal , I. I. Mazin

Based on Monte-Carlo simulations, the stable magnetization configurations of an antiferromagnet on a quasiperiodic tiling are derived theoretically. The exchange coupling is assumed to decrease exponentially with the distance between…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Y. Vedmedenko , U. Grimm , R. Wiesendanger

A description of non-collinear magnetism in the framework of spin-density functional theory is presented for the exact exchange energy functional which depends explicitly on two-component spinor orbitals. The equations for the effective…

Altermagnetism has emerged as a third type of collinear magnetism. In contrast to standard ferromagnets and antiferromagnets, altermagnets exhibit extra even-parity wave spin order parameters resulting in a spin-splitting of electronic…

Strongly Correlated Electrons · Physics 2024-06-17 Valentin Leeb , Alexander Mook , Libor Šmejkal , Johannes Knolle

Recent studies revealed that the electric multipole moments of insulators result in fractional electric charges localized to the hinges and corners of the sample. We here explore the magnetic analog of this relation. We show that a…

Strongly Correlated Electrons · Physics 2021-04-28 Haruki Watanabe , Yasuyuki Kato , Hoi Chun Po , Yukitoshi Motome

Recent developments have introduced a groundbreaking form of collinear magnetism known as "altermagnetism". This emerging magnetic phase is characterized by robust time-reversal symmetry breaking, antiparallel magnetic order, and…

Materials Science · Physics 2024-09-18 Ling Bai , Wanxiang Feng , Siyuan Liu , Libor Šmejkal , Yuriy Mokrousov , Yugui Yao

We derive the spin Boltzmann equations for spin-1/2 fermions in a non-relativistic model with four-fermion contact interaction which conserves spin degrees of freedom. A great advantage of the model is that the spin matrix elements in…

Nuclear Theory · Physics 2022-12-07 Wen-Bo Dong , Yi-Liang Yin , Qun Wang

Exploiting both spin and charge of the electron in electronic micordevices has lead to a tremendous progress in both basic condensed-matter research and microelectronic applications, resulting in the modern field of spintronics. Current…

Materials Science · Physics 2015-06-25 X. Martí , I. Fina , T. Jungwirth

Novel noncollinear antiferromagnets with spontaneous time-reversal symmetry breaking, nontrivial band topology, and unconventional transport properties have received immense research interest over the past decade due to their rich physics…

Non-Hermitian systems have been discussed mostly in the context of open systems and nonequilibrium. Recent experimental progress is much from optical, cold-atomic, and classical platforms due to the vast tunability and clear identification…

Mesoscale and Nanoscale Physics · Physics 2024-01-25 Xiao-Xiao Zhang , Naoto Nagaosa

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

Antiferromagnetic spintronics focuses on investigating and using antiferromagnets as active elements in spintronics structures. Last decade advances in relativistic spintronics led to the discovery of the staggered, current-induced field in…

Mesoscale and Nanoscale Physics · Physics 2018-04-17 Libor Šmejkal , Tomáš Jungwirth

We consider a synthetic antiferromagnetic spin-torque oscillator with anisotropic interlayer exchange coupling. This system exhibits exceptional points in its linearized dynamics. We find the non-linear dynamics and the dynamical phase…

Mesoscale and Nanoscale Physics · Physics 2023-02-16 R. A. Duine , V. Errani , J. S. Harms

We present a theoretical analysis of the properties of low-dimensional quantum antiferromagnets in applied magnetic fields. In a nonlinear sigma model description, we use a spin stiffness analysis, a 1/N expansion, and a renormalization…

Strongly Correlated Electrons · Physics 2017-09-27 B. Normand , Jordan Kyriakidis , Daniel Loss