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We review recent developments of formulations to calculate the Dzyaloshinskii--Moriya (DM) interaction from first principles. In particular, we focus on three approaches. The first one evaluates the energy change due to the spin twisting by…

Mesoscale and Nanoscale Physics · Physics 2018-01-30 Takashi Koretsune , Toru Kikuchi , Ryotaro Arita

We present an overview of the microscopic theory of the Dzyaloshinskii-Moriya (DM) coupling in strongly correlated 3d compounds. Most attention in the paper centers around the derivation of the Dzyaloshinskii vector, its value, orientation,…

Strongly Correlated Electrons · Physics 2019-10-24 A. S. Moskvin

Dzyaloshinskii-Moriya interaction, DMI in short, represents an antisymmetric type of magnetic interactions that favour orthogonal orientation of spins and competes with Heisenberg exchange. Being introduced to explain weak ferromagnetism in…

Strongly Correlated Electrons · Physics 2021-06-02 V. V. Mazurenko , Y. O. Kvashnin , A. I. Lichtenstein , M. I. Katsnelson

We propose a new type of Dzyaloshinskii-Moriya (DM) interactions which act on high-rank multipolar moments such as quadrupolar and octupolar moments. Here we consider 5d1 systems with broken spatial inversion symmetry, where the interplay…

Strongly Correlated Electrons · Physics 2020-06-11 Masashi Hosoi , Tomonari Mizoguchi , Taichi Hinokihara , Hiroyasu Matsuura , Masao Ogata

We present an overview of the microscopic theory of the Dzyaloshinskii-Moriya (DM) coupling and related exchange-relativistic effects such as exchange anisotropy, electron-nuclear antisymmetric supertransferred hyperfine interactions,…

Strongly Correlated Electrons · Physics 2021-09-14 A. S. Moskvin

We critically reexamine the problem of interatomic exchange interactions, which describe the total energy change caused by infinitesimal rotations of spins near some equilibrium state. For the small variations, such interactions can be…

Materials Science · Physics 2021-03-24 I. V. Solovyev

In antiferromagnetic (AFM) thin films, broken inversion symmetry or coupling to adjacent heavy metals can induce Dzyaloshinskii-Moriya (DM) interactions. Knowledge of the DM parameters is essential for understanding and designing exotic…

Mesoscale and Nanoscale Physics · Physics 2018-05-14 Alireza Qaiumzadeh , Ivan A. Ado , Rembert A. Duine , Mikhail Titov , Arne Brataas

In contrast to conventional assumptions, we show that the Dzyaloshinskii-Moriya interaction can be of non-relativistic origin, in particular in materials with a non-collinear magnetic configuration, where non-relativistic contributions can…

The Dzyaloshinskii-Moriya (DM) interaction plays an essential role in novel topological spintronics, and the ability to control this chiral interaction is of key importance. Developing a general microscopic framework to compute…

Mesoscale and Nanoscale Physics · Physics 2021-04-22 Sander Ø. Hanslin , Alireza Qaiumzadeh

The Dzyaloshinskii-Moriya (DM) interaction is an antisymmetric exchange interaction that is responsible for the emergence of chiral magnetism. The origin of the DM interaction, however, remains to be identified albeit the large number of…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Naoaki Kato , Masashi Kawaguchi , Yong-Chang Lau , Toru Kikuchi , Yoshinobu Nakatani , Masamitsu Hayashi

We present a physical picture for the emergence of the Dzyaloshinskii--Moriya (DM) interaction based on the idea of the Doppler shift by an intrinsic spin current induced by spin--orbit interaction under broken inversion symmetry. The…

Mesoscale and Nanoscale Physics · Physics 2016-06-15 Toru Kikuchi , Takashi Koretsune , Ryotaro Arita , Gen Tatara

In 1987, Liechtenstein et al. came up with the idea to formulate the problem of interatomic exchange interactions, which would describe the energy change caused by the infinitesimal rotations of spins, in terms of the magnetic…

Materials Science · Physics 2024-03-11 I. V. Solovyev

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…

Proposals for novel spin-orbitronic logic1 and memory devices2 are often predicated on assumptions as to how materials with large spin-orbit coupling interact with ferromagnets when in contact. Such interactions give rise to a host of novel…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 Hans T. Nembach , Justin M. Shaw , Mathias Weiler , Emilie Jué , Thomas J. Silva

Interacting impurity spins adsorbed on surfaces have been suggested as basic components for applications in quantum computation and spintronics. Such spins usually prefer a parallel or antiparallel configuration, but weakly non-collinear…

Superconductivity · Physics 2025-08-06 Jabir Ali Ouassou , Takehito Yokoyama , Jacob Linder

Dzyaloshinskii-Moriya interaction (DMI) at Pt/Co interfaces is investigated theoretically using two different first principles methods. The first one uses the constrained moment method to build a spin spiral in real space, while the second…

Mesoscale and Nanoscale Physics · Physics 2017-10-31 Yao-Jun Dong , Abderrezak Belabbes , Aurélien Manchon

The Dzyaloshinskii-Moriya interaction (DMI) is an antisymmetric exchange interaction, which is responsible for the formation of topologically protected spin textures in chiral magnets. Here, by measuring the dispersion relation of the DM…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 Khalil Zakeri , Alberto Marmodoro , Albrecht von Faber , Sergiy Mankovsky , Hubert Ebert

In magnetic multilayer systems, a large spin-orbit coupling at the interface between heavy metals and ferromagnets can lead to intriguing phenomena such as the perpendicular magnetic anisotropy, the spin Hall effect, the Rashba effect, and…

We explore the emergence of chiral magnetism in one-dimensional monatomic Mn, Fe, and Co chains deposited at the Pt(664) step-edge carrying out an ab-initio study based on density functional theory (DFT). The results are analyzed employing…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Benedikt Schweflinghaus , Bernd Zimmermann , Marcus Heide , Gustav Bihlmayer , Stefan Blügel

The Dzyaloshinskii-Moriya Interaction (DMI) between spins is induced by spin-orbit coupling in magnetic materials lacking inversion symmetry. DMI is recognized to play a crucial role at the interface between ferromagnetic (FM) and heavy…

Materials Science · Physics 2015-12-31 Hongxin Yang , André Thiaville , Stanislas Rohart , Albert Fert , Mairbek Chshiev
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