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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

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…

We employ density functional theory within a non-collinear framework to investigate the magnetic properties of the octanuclear molecular rings Cr$_8$ and V$_8$. Our aim is to generalize the evaluation of the effective magnetic interactions…

Materials Science · Physics 2026-04-28 Maria Barbara Maccioni , Elia Stocco , Luca Binci , Andrea Floris , Matteo Cococcioni

A spin Hamiltonian, which characterizes interatomic interactions between spin moments, is highly valuable in predicting and comprehending the magnetic properties of materials. A deeper understanding of the microscopic origin of magnetic…

We investigate the chiral magnetic order in free-standing planar 3$d$-5$d$ bi-atomic metallic chains (3$d$: Fe, Co; 5$d$: Ir, Pt, Au) using first-principles calculations based on density functional theory. We found that the antisymmetric…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Vikas Kashid , Timo Schena , Bernd Zimmermann , Yuriy Mokrousov , Stefan Blügel , Vaishali Shah , H. G. Salunke

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

The Dzyaloshinskii-Moriya interaction is shown to result in a canting of spins in a single molecule transistor. We predict non-linear transport signatures of this effect induced by spin-orbit coupling for the generic case of a molecular…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 S. Herzog , M. R. Wegewijs

We study Dzyaloshinskii-Moriya interaction (DMI) appearing at the interface of a nonmagnetic/noncollinear-antiferromagnetic bilayer. DMI is an antisymmetric exchange interaction between neighboring magnetic spins, arising in the absence of…

Mesoscale and Nanoscale Physics · Physics 2025-02-18 Yuta Yamane , Yasufumi Araki , Shunsuke Fukami

Spins in quantum dots can act as the qubit for quantum computation. In this context we point out that spins on neighboring dots will experience an anisotropic form of the exchange coupling, called the Dzyaloshinskii-Moriya (DM) interaction,…

Materials Science · Physics 2009-11-11 Sucismita Chutia , Mark Friesen , Robert Joynt

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

Ultrathin metallic ferromagnets on substrates with strong spin-orbit coupling can exhibit induced chiral interactions of the Dzyaloshinskii-Moriya (DM) form. For systems with perpendicular anisotropy, the presence of DM interactions has…

Materials Science · Physics 2014-06-17 Felipe Garcia-Sanchez , Pablo Borys , Arne Vansteenkiste , Joo-Von Kim , Robert L. Stamps

We present calculations of the magnetic ground states of Cr trimers in different geometries on top of a Au(111) surface. By using a least square fit method based on a fully relativistic embedded-cluster Green's function method first we…

Materials Science · Physics 2009-11-13 A. Antal , B. Lazarovits , L. Udvardi , L. Szunyogh , B. Újfalussy , P. Weinberger

We study in this paper magnetic properties of a system of quantum Heisenberg spins interacting with each other via a ferromagnetic exchange interaction J and an in-plane Dzyaloshinskii-Moriya interaction D. The non-collinear ground state…

Statistical Mechanics · Physics 2017-08-02 Sahbi El-Hog , Hung T. Diep , Henryk Puszkarski

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

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 determine the Dzyaloshinskii-Moriya interaction within and between two magnetic cobalt layers separated by a non-magnetic spacer through ab initio calculations. We investigate different materials for the non-magnetic layer, focusing on…

Materials Science · Physics 2024-08-29 Tim Matthies , Levente Rózsa , László Szunyogh , Roland Wiesendanger , Elena Y. Vedmedenko

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

Dzyaloshinskii-Moriya interaction (DMI) is the primary mechanism for realizing real-space chiral spin textures, which are regarded as key components for the next-generation spintronics. However, DMI arises from a perturbation term of the…

Materials Science · Physics 2022-10-12 Fan Zhang , Xueao Li , Yabei Wu , Xiaolong Wang , Jijun Zhao , Weiwei Gao

Realizing sizeable Dzyaloshinskii-Moriya interaction (DMI) in intrinsic two-dimensional (2D) magnets without any manipulation will greatly enrich potential application of spintronics devices. The simplest and most desirable situation should…

Materials Science · Physics 2022-09-26 Yonglong Ga , Qirui Cui , Jinghua Liang , Dongxing Yu , Yingmei Zhu , Liming Wang , Hongxin Yang

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
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