# First-principles Dzyaloshinskii–Moriya interaction in a non-collinear framework

@article{Cardias2020FirstprinciplesDI, title={First-principles Dzyaloshinskii–Moriya interaction in a non-collinear framework}, author={Ramon Cardias and Attila Szilva and M. M. Bezerra-Neto and M. S. Ribeiro and Anders Bergman and Yaroslav O Kvashnin and Jonas Fransson and {\^A}ngela Burlamaqui Klautau and Olle Eriksson and Lars Nordstr{\"o}m}, journal={Scientific Reports}, year={2020}, volume={10} }

We have derived an expression of the Dzyaloshinskii–Moriya interaction (DMI), where all the three components of the DMI vector can be calculated independently, for a general, non-collinear magnetic configuration. The formalism is implemented in a real space—linear muffin-tin orbital—atomic sphere approximation (RS-LMTO-ASA) method. We have chosen the Cr triangular trimer on Au(111) and Mn triangular trimers on Ag(111) and Au(111) surfaces as numerical examples. The results show that the DMI…

## 12 Citations

### Topologically driven three-spin chiral exchange interactions treated from first principles

- PhysicsPhysical Review B
- 2021

The mechanism behind the three-spin chiral interaction (TCI) included in the extended Heisenberg Hamiltonian and represented by an expression worked out recently (Phys. Rev. B, 101, 174401 (2020)) is…

### Complex magnetic textures in Ni/Irn/Pt(111) ultrathin films

- PhysicsPhysical Review Materials
- 2021

A combined approach using first-principles calculations and spin dynamics simulations is applied to study Ni/Irn/Pt(111) (n = 0, 1, 2) films. The lowest-energy states are predicted to be spinspirals…

### Band filling effects on the emergence of magnetic skyrmions: Pd/Fe and Pd/Co bilayers on Ir(111)

- PhysicsPhysical Review B
- 2022

Structurally similar transition metal systems can have widely diﬀering magnetic properties. A prime example of this is found for bilayers on Ir(111), where Pd/Fe/Ir(111) ground state has a…

### Antichiral ferromagnetism

- Materials SciencePhysical Review B
- 2021

Here by combining a symmetry-based analysis with numerical computations we predict a new kind of magnetic ordering - antichiral ferromagnetism. The relationship between chiral and antichiral magnetic…

### Mechanism of antisymmetric spin polarization in centrosymmetric multiple- Q magnets based on effective chiral bilinear and biquadratic spin cross products

- PhysicsPhysical Review B
- 2022

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 spinorbit…

### Reply to “Comment on ‘Proper and improper chiral magnetic interactions’ ”

- PhysicsPhysical Review B
- 2022

Manuel dos Santos Dias, 2, ∗ Sascha Brinker, András Lászlóffy, 4 Bendegúz Nyári, Stefan Blügel, László Szunyogh, 5 and Samir Lounis 2, † Peter Grünberg Institut and Institute for Advanced Simulation,…

### Proper and improper chiral magnetic interactions

- PhysicsPhysical Review B
- 2021

There is currently a strong need to understand noncollinear magnetic phases where generalized chiral magnetic interactions can play a prominent role. Here, the authors give a clear and accessible…

### Exchange constants for local spin Hamiltonians from tight-binding models

- Physics
- 2021

Simon Streib,1 Attila Szilva,1 Vladislav Borisov,1 Manuel Pereiro,1 Anders Bergman,1 Erik Sjöqvist,1 Anna Delin,2, 3 Mikhail I. Katsnelson,4 Olle Eriksson,1, 5 and Danny Thonig5, 1 Department of…

### Incommensurate magnetic ordering in CrB2

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2022

Incommensurate magnetism in CrB2 is studied in terms of a spin model based on density functional theory calculations. Heisenberg exchange interactions derived from the paramagnetic phase using the…

### Adiabatic spin dynamics and effective exchange interactions from constrained tight-binding electronic structure theory: Beyond the Heisenberg regime

- PhysicsPhysical Review B
- 2022

We consider an implementation of the adiabatic spin dynamics approach in a tight-binding description of the electronic structure. The adiabatic approximation for spin-degrees of freedom assumes that…

## References

SHOWING 1-10 OF 74 REFERENCES

### Relation of the Dzyaloshinskii-Moriya interaction to spin currents and to the spin-orbit field

- Physics
- 2017

Starting from the general Berry phase theory of the Dzyaloshinskii-Moriya interaction (DMI) we derive an expression for the linear contribution of the spin-orbit interaction (SOI). Thereby, we show…

### Dzyaloshinskii-Moriya interaction in absence of spin-orbit coupling

- Physics
- 2020

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,…

### Doppler shift picture of the Dzyaloshinskii--Moriya interaction

- Physics
- 2016

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…

### Prospecting chiral multisite interactions in prototypical magnetic systems

- Physics
- 2020

Atomistic spin models have found enormous success in addressing the properties of magnetic materials, grounded on the identification of the relevant underlying magnetic interactions. The huge…

### Modification of Dzyaloshinskii-Moriya-Interaction-Stabilized Domain Wall Chirality by Driving Currents.

- PhysicsPhysical review letters
- 2018

It is observed that the current-induceddomain wall motion yields a change in effective DMI magnitude and opposite domain wall chirality when compared to field-induced domain wall motion (without current).

### Hund's Rule-Driven Dzyaloshinskii-Moriya Interaction at 3d-5d Interfaces.

- PhysicsPhysical review letters
- 2016

It is demonstrated that, besides the spin-orbit coupling (SOC) effect in inversion asymmetric noncollinear magnetic systems, the driving force is the 3d orbital occupations and their spin-flip mixing processes with thespin-orbit active 5d states control directly the sign and magnitude of the DMI.

### Interatomic exchange interactions for finite-temperature magnetism and nonequilibrium spin dynamics.

- PhysicsPhysical review letters
- 2013

It is demonstrated that keeping this term leads to what one should consider a biquadratic effective spin Hamiltonian even in the case of collinear arrangement, and results in new tensor elements that are important for exchange interactions at finite temperatures, but they have less importance at low temperature.

### Extension of the standard Heisenberg Hamiltonian to multispin exchange interactions

- PhysicsPhysical Review B
- 2020

An extension of the Heisenberg Hamiltonian is discussed that allows us to go beyond the standard bilinear spin Hamiltonian taking into account various contributions due to multispin interactions…

### First-principles real-space linear-muffin-tin-orbital calculations of 3d impurities in Cu.

- PhysicsPhysical review. B, Condensed matter
- 1992

This work uses the real-space linear-muffin-tin-orbital (RS-LMTO-ASA) approach to study the behavior of 3d impurities in a Cu host, and obtains the local density of states, the charge transfers, and local magnetic moments of the impurity and four adjacent shells of Cu atoms.

### First-principles relativistic study of spin waves in thin magnetic films

- Physics
- 2003

In order to study spin-wave excitations of itinerant ferromagnets a relativistic first-principles method based on the adiabatic approach is presented. The derivatives of the free energy up to second…