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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

Primary ferroicities like ferroelectricity and ferromagnetism are essential physical properties of matter. Multiferroics, with coexisting multiple ferroic orders in a single phase, provide a convenient route to magnetoelectricity. Even so,…

Materials Science · Physics 2023-11-30 Ziwen Wang , Shuai Dong

Altermagnets host spin-split electronic bands despite zero net magnetization, opening new routes for spintronics beyond conventional ferromagnets. Going beyond symmetry-based classifications, which specify allowed terms but not their…

Materials Science · Physics 2026-05-21 Luigi Camerano , Federico Bisti , Gianni Profeta

We present a high throughput computational search for altermagnetism in two-dimensional (2D) materials based on the Computational 2D Materials Database (C2DB). We start by showing that the symmetry requirements for altermagnetism in 2D are…

Materials Science · Physics 2024-08-09 Joachim Sødequist , Thomas Olsen

We investigate effects of multipole moments in f-electron systems both from phenomenological and microscopic viewpoints. First, we discuss significant effects of octupole moment on the magnetic susceptibility in a paramagnetic phase. It is…

Strongly Correlated Electrons · Physics 2015-06-25 Katsunori Kubo , Takashi Hotta

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

Altermagnets feature vanishing net magnetization, like antiferromagnets, but exhibit time-reversal symmetry breaking and momentum-dependent spin-split band structures. Motivated by the prevalence of altermagnetic materials with…

Strongly Correlated Electrons · Physics 2024-10-10 Mercè Roig , Andreas Kreisel , Yue Yu , Brian M. Andersen , Daniel F. Agterberg

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 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

We present a perspective on the status of antiferromagnetism in two-dimensional (2D) materials. Various types of spin-compensated orders are discussed and include non-collinear order, spin spirals and altermagnetism. Spin-orbit effects…

Materials Science · Physics 2024-08-09 Thomas Olsen

We formulate a Landau theory for altermagnets, a class of colinear compensated magnets with spin-split bands. Starting from the non-relativistic limit, this Landau theory goes beyond a conventional analysis by including spin-space…

Materials Science · Physics 2024-04-29 Paul A. McClarty , Jeffrey G. Rau

Alternative magnetic materials or ``altermagnets", characterized by their non-relativistic, momentum-dependent spin-split states, represent a cutting-edge advancement in the field of magnetism, offering promising avenues for spintronic…

Materials Science · Physics 2024-12-04 Nayana Devaraj , Anumita Bose , Awadhesh Narayan

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

Altermagnetism is a newly discovered magnetic class named after the alternating spin polarizations in both real and reciprocal spaces. Like the spin-splitting of electronic bands, the magnon bands in altermagnets are predicted to exhibit…

Strongly Correlated Electrons · Physics 2024-10-16 Zheyuan Liu , Makoto Ozeki , Shinichiro Asai , Shinichi Itoh , Takatsugu Masuda

A whole series of expressions for four species of multipoles (electric, magnetic, magnetic toroidal, and electric toroidal) is provided as a complete basis set to describe arbitrary single-centered spinful electron systems. A compact…

Strongly Correlated Electrons · Physics 2020-09-17 Hiroaki Kusunose , Rikuto Oiwa , Satoru Hayami

Altermagnetism, a new phase of collinear spin-order sharing similarities with antiferromagnets and ferromagnets, has introduced a new guiding principle for spintronic/thermoelectric applications due to its direction-dependent magnetic…

Strongly Correlated Electrons · Physics 2025-08-19 Samuele Giuli , Carlos Mejuto-Zaera , Massimo Capone

Two-dimensional metallic altermagnets are rare, and no correlated 2D material has been established to host large nonrelativistic spin splitting. Here we show that spontaneous orbital order, driven by electronic correlations and Fermi…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Nirmalya Jana , Atasi Chakraborty , Anamitra Mukherjee , Amit Agarwal

Altermagnets constitute a class of collinear compensated N\'eel ordered magnets that break time-reversal symmetry and feature spin-split band structures. Based on versatile microscopic models able to capture the altermagnetic sublattice…

Strongly Correlated Electrons · Physics 2025-07-08 Jannik Gondolf , Andreas Kreisel , Mercè Roig , Yue Yu , Daniel F. Agterberg , Brian M. Andersen

We present a general theory of multiorbital spin waves in magnetically ordered metallic systems. Motivated by the itinerant magnetism of iron-based superconductors, we compare the magnetic excitations for two different scenarios: when the…

Superconductivity · Physics 2015-05-27 J. Knolle , I. Eremin , R. Moessner

We study the physics of dilute magnetic impurities in a two-dimensional altermagnetic metal. For the single impurity case, although the spin degeneracy is broken in an altermagnetic metal, we show that the antiferromagnetic Kondo coupling…

Strongly Correlated Electrons · Physics 2025-03-10 Yu-Li Lee