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Motivated by recent experiments exploring the spin-orbit-coupled magnetism in $4d$- and $5d$-band transition metal oxides, we study magnetic interactions in Ir- and Rh-based compounds. In these systems, the comparable strength of spin-orbit…

Strongly Correlated Electrons · Physics 2015-06-17 Natalia B. Perkins , Yuriy Sizyuk , Peter Wölfle

Ferromagnetism in the two-dimensional CrI$_3$ has generated a lot of excitement, and it was recently proposed that the spin-orbit coupling (SOC) in Iodine may generate bond-dependent spin interactions leading to magnetic anisotropy. Here we…

Strongly Correlated Electrons · Physics 2021-03-17 P. Peter Stavropoulos , Xiaoyu Liu , Hae-Young Kee

The role of spin-orbit coupling and Hund's rule coupling on magnetic ordering, anisotropy, and excitations are investigated within a minimal three-orbital model for the $5d^3$ compound $\rm Na Os O_3$. Asymmetry between the magnetic moments…

Strongly Correlated Electrons · Physics 2019-03-12 Avinash Singh , Shubhajyoti Mohapatra , Churna Bhandari , Sashi Satpathy

Spin-only approaches to anisotropic effects in strongly interacting materials are often insufficient for systems close to the Mott regime. Within a model context, here the consequences of the low-symmetry relevant Dzyaloshinskii-Moriya (DM)…

Strongly Correlated Electrons · Physics 2013-04-30 Sergej Schuwalow , Christoph Piefke , Frank Lechermann

The orbital contribution to the magnetic moment of the transition metal ion in the isostructural weak ferromagnets ACO$_3$ (A=Mn,Co,Ni) and FeBO$_3$ was investigated by a combination of first-principles calculations, non-resonant x-ray…

We present analysis of the interacting quantum wire problem in the presence of magnetic field and spin-orbital interaction. We show that an interesting interplay of Zeeman and spin-orbit terms, facilitated by the electron-electron…

Mesoscale and Nanoscale Physics · Physics 2008-09-05 Suhas Gangadharaiah , Jianmin Sun , Oleg A. Starykh

The influence of spin-orbit coupling (SOC) on the physical properties of the 5d2 system Sr2MgOsO6 is probed via a combination of magnetometry, specific heat measurements, elastic and inelastic neutron scattering, and density functional…

It is widely accepted that spin-orbit coupling (SOC) generally locks spin and spatial degrees of freedom, as a result, the spin, despite being an axial vector, is fixed and cannot rotate independently, and the magnetic system should be…

Materials Science · Physics 2026-02-19 Yuxuan Mu , Di Wang , Xiangang Wan

We lay the foundation for determining the microscopic spin interactions in two-dimensional (2D) ferromagnets by combining angle-dependent ferromagnetic resonance (FMR) experiments on high quality CrI$_3$ single crystals with theoretical…

In many cases, the relativistic spin-orbit (SO) interaction is regarded to be small and can be treated using perturbation theory. The major obstacle on this route comes from the fact that the SO interaction can also polarize the electron…

Strongly Correlated Electrons · Physics 2014-07-23 I. V. Solovyev

We report on a first-principles investigation of the electronic structure and of the magnetic properties of the quasi-two-dimensional Mott insulator SrCu$_{2}$(BO$_{3}$)$_{2}$. Based on the hopping integrals and Coulomb interactions…

Strongly Correlated Electrons · Physics 2010-09-07 V. V. Mazurenko , S. L. Skornyakov , V. I. Anisimov , F. Mila

We study the effects of external magnetic field on the properties of an ordered Heisenberg antiferromagnet with the Dzyaloshinskii-Moriya (DM) interaction. Using the spin-wave theory quantum correction to the energy, on-site magnetization,…

Strongly Correlated Electrons · Physics 2007-05-23 A. L. Chernyshev

We have derived an expression of the Dzyaloshinskii-Moriya (DM) interaction, where all the three components of the DM vector can be calculated independently, for a general, non-collinear magnetic configuration. The formalism is implemented…

Spin-orbit coupling (SOC) is a key interaction in spintronics, allowing an electrical control of spin or magnetization and, vice versa, a magnetic control of electrical current. However, recent advances have revealed much broader…

We apply degenerate perturbation theory to investigate the effects of magnetic anisotropy in the magnetic molecule V15. Magnetic anisotropy is introduced via Dzyaloshinskii-Moriya (DM) interaction in the full Hilbert space of the system.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 N. P. Konstantinidis , D. Coffey

We propose a method to determine the magnetic exchange interaction and on-site anisotropy tensors of extended Heisenberg spin models from density functional theory including relativistic effects. The method is based on the…

We investigate abilities of various linear response based techniques for extracting parameters of antisymmetric Dzyaloshinskii-Moriya (DM) interactions from the first-principles electronic structure calculations. For these purposes, we…

Materials Science · Physics 2023-03-02 I. V. Solovyev

This study introduces a method to measure strength of spin-orbit interaction (SO) in a nanomagnet, investigating fundamental phenomena governing magnetic anisotropy. The method explores the fundamental property of SO in its linear…

Mesoscale and Nanoscale Physics · Physics 2024-07-11 Vadym Zayets

We derive a set of equations expressing the parameters of the magnetic interactions characterizing a strongly correlated electronic system in terms of single-electron Green's functions and self-energies. This allows to establish a mapping…

Strongly Correlated Electrons · Physics 2016-01-20 Andrea Secchi , Alexander I. Lichtenstein , Mikhail I. Katsnelson

An extension of the Heisenberg Hamiltonian is discussed, that allows to go beyond the standard bilinear spin Hamiltonian taking into account various contributions due to multispin interactions having both chiral and non-chiral character.…

Materials Science · Physics 2020-05-06 S. Mankovsky , S. Polesya , H. Ebert