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We clarify the macroscopic symmetry and microscopic model-parameter conditions for emergence of spin-split electronic band structure in collinear antiferromagnets without atomic spin-orbit coupling. By using the microscopic multipole…

Strongly Correlated Electrons · Physics 2019-11-12 Satoru Hayami , Yuki Yanagi , Hiroaki Kusunose

In semiconductor heterostructures, bulk and structural inversion asymmetry and spin-orbit coupling induce a k-dependent spin splitting of valence and conduction subbands, which can be viewed as being caused by momentum-dependent crystal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. A. Ullrich , M. E. Flatte

Altermagnetism, a recently identified magnetic phase that combines vanishing net magnetization with momentum-dependent spin splitting, challenges the conventional dichotomy between ferromagnets and antiferromagnets. While several candidate…

Broken inversion symmetry at the surfaces of centrosymmetric collinear antiferromagnets lifts combined inversion and time-reversal symmetry ($PT$) and can, in principle, enable nonrelativistic d-wave spin splitting, termed surface…

Materials Science · Physics 2026-05-20 Ersoy Sasioglu , Ingrid Mertig , Samir Lounis

Altermagnetism is a recently identified class of magnetic order characterized by unconventional momentum-dependent spin splitting in the absence of net magnetization, and understanding its electronic and magnetic properties is essential for…

Strongly Correlated Electrons · Physics 2026-05-20 Shuyi Li , Adrian Bahri , Chunjing Jia

We investigate how to engineer an antisymmetric spin-split band structure under spin density waves with finite ordering wave vectors in centrosymmetric systems without the relativistic spin-orbit coupling. On the basis of a perturbative…

Strongly Correlated Electrons · Physics 2022-03-04 Satoru Hayami

Spin current generation through non-relativistic spin splittings, found in uncompensated magnets and d-wave altermagnets, is desirable for low-power spintronics. Such spin currents, however, are symmetry forbidden in conventional collinear…

Materials Science · Physics 2025-12-04 Sajjan Sheoran , Pratibha Dev

Using resonant x-ray diffraction, we observe an easy c-axis collinear antiferromagnetic structure for the bilayer Sr$_3$Ir$_2$O$_7$, a significant contrast to the single layer Sr$_2$IrO$_4$ with in-plane canted moments. Based on a…

Strongly Correlated Electrons · Physics 2012-12-11 J. W. Kim , Y. Choi , Jungho Kim , J. F. Mitchell , G. Jackeli , M. Daghofer , J. van den Brink , G. Khaliullin , B. J. Kim

Spin density waves, based on modulated local moments, are usually associated with metallic materials, but have recently been reported in insulators which display coupled magnetic and structural order parameters. We discuss one such example,…

Materials Science · Physics 2020-07-30 N. Giles-Donovan , N. Qureshi , R. D. Johnson , L. Y. Zhang , S. -W. Cheong , S. Cochran , C. Stock

The electronic and magnetic properties of TbMnO3 leading to its ferroelectric (FE) polarization were investigated on the basis of relativistic density functional theory (DFT) calculations. In agreement with experiment, we show that the…

Materials Science · Physics 2008-07-18 H. J. Xiang , Su-Huai Wei , M. -H. Whangbo , Juarez L. F. Da Silva

Altermagnets host momentum-selective spin splitting and chiral-split magnonic excitations despite vanishing net magnetization, enabling spin transport without ferromagnetism. In rutile structures, establishing altermagnetism…

Materials Science · Physics 2026-04-23 Dai Q. Ho , D. Quang To , Byungkyun Kang , Matthew F. Doty , Garnett W. Bryant , Anderson Janotti

We establish a quantitative relation between the altermagnetic spin-splitting and different higher order multipoles of the charge and magnetization density around the magnetic atoms. Magnetic multipoles such as octupoles or triakontadipoles…

Materials Science · Physics 2025-12-22 Francesco Martinelli , Anouk Droux , Claude Ederer

The coupling between ferroelectrics and magnetism presents a promising avenue for low-dissipation spintronic devices. However, such couplings remain rare, and the direct realization of magnetic order driven by ferroelectric switching in…

We propose a realization of an antisymmetric spin-split band structure through magnetic phase transitions without spin-orbit coupling. It enables us to utilize for a variety of magnetic-order-driven cross-correlated and nonreciprocal…

Strongly Correlated Electrons · Physics 2020-07-01 Satoru Hayami , Yuki Yanagi , Hiroaki Kusunose

Spin waves and coupling of the spin waves with electromagnetic waves are considered in the multiferroic materials with the electric dipole moment proportional to the scalar product of spins. Nature of this interaction is discussed within…

Materials Science · Physics 2026-03-05 Pavel A. Andreev

We study the conduction band spin splitting that arises in transition metal dichalcogenide (TMD) semiconductor monolayers such as MoS$_2$, MoSe$_2$, WS$_2$ and WSe$_2$ due to the combination of spin-orbit coupling and lack of inversion…

Materials Science · Physics 2014-01-01 K. Kośmider , J. W. González , J. Fernández-Rossier

Altermagnetism represents a novel class of collinear antiferromagnetism exhibiting non-relativistic spin splitting without net magnetization, driven by lattice symmetry rather than spin-orbit coupling (SOC). Here, we introduce a…

Materials Science · Physics 2026-05-15 Diego López-Alcalá , Alberto M. Ruiz , Andrei Shumilin , José J. Baldoví

We report $\alpha$-Cu$_2$V$_2$O$_7$ to be an improper multiferroic with the simultaneous development of electric polarization and magnetization below $T_C$ = 35 K. The observed spontaneous polarization of magnitude 0.55 $\mu$Ccm$^{-2}$ is…

Strongly Correlated Electrons · Physics 2015-06-26 J. Sannigrahi , S. Bhowal , S. Giri , S. Majumdar , I. Dasgupta

The emergence of spin-polarized currents in nonrelativistic platforms continues to attract significant interest in spintronics. Here we demonstrate that a noncollinear kagome antiferromagnet can generate an alternating out-of-plane spin…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Ousmane Ly , Satoru Hayami

To leading order in displacement size, the scattering of electrons in a Cu-O plane from O displacements perpendicular to that plane is due to spin-orbit coupling. This scattering is investigated with the following results: (1) As a…

Condensed Matter · Physics 2020-02-03 N. E. Bonesteel