A DMI guide to magnets micro-world

Abstract

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 antiferromagnets without an inversion center between magnetic atoms such an anisotropic interaction can be used to analyze other non-trivial magnetic structures of technological importance including spin spirals and skyrmions. Despite the fact that the corresponding DMI contribution to the magnetic energy of the system has a very compact form of the vector product of spins, the determination of DMI from first-principles electronic structure is a very challenging methodological and technical problem whose solution opens a door into the fascinating microscopic world of complex magnetic materials. In this paper we review a few such methods developed by us for calculating DMI and their applications to study the properties of real materials.

arXiv commentContribution for the JETP special issue in honor of I.E. Dzyaloshinskii's 90th birthday

References in corpus (43)

• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Skyrmion Lattice in a Chiral Magnet
• Maximally-localized generalized Wannier functions for composite energy bands
• Quantum Mechanics helps in searching for a needle in a haystack
• Maximally localized Wannier functions: Theory and applications
• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Spin current and magneto-electric effect in non-collinear magnets
• Topological Hall effect in the A-phase of MnSi
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Skyrmion confinement in ultrathin film nanostructures in the presence of Dzyaloshinskii-Moriya interaction
• Skyrmion Lattice in a Doped Semiconductor
• Anatomy of Dzyaloshinskii-Moriya Interaction at Co/Pt Interfaces
• Atomic-scale control of graphene magnetism using hydrogen atoms
• Ab initio calculations of quasiparticle band structure in correlated systems: LDA++ approach
• Calculations of Hubbard U from first-principles
• First- principle calculations of magnetic interactions in correlated systems
• Hund's rule-driven Dzyaloshinskii-Moriya interaction at 3d-5d interfaces
• Twisted magnetic patterns: Exploring the Dzyaloshinskii--Moriya vector
• Anisotropic Spin Hamiltonians due to Spin-Orbit and Coulomb Exchange Interactions
• The quantum origins of skyrmions and half-skyrmions in Cu2OSeO3
• Doppler shift picture of the Dzyaloshinskii--Moriya interaction
• Electronic structure and magnetic properties of correlated metals: A local self-consistent perturbation scheme
• Weak ferromagnetism in antiferromagnets: Fe${}_2$O${}_3$ and La${}_2$CuO${}_4$
• Relativistic exchange interactions in CrX${}_3$ (X=Cl, Br, I) monolayers
• Dzyaloshinskii-Moriya interaction and chiral magnetism in 3$d$-5$d$ zig-zag chains: Tight-binding model and ab initio calculations
• Correlated band theory of spin and orbital contributions to Dzyaloshinskii-Moriya interactions
• Many-Spin Interactions and Spin Excitations in Mn12
• Role of direct exchange and Dzyaloshinskii-Moriya interactions in magnetic properties of graphene derivatives: C${}_2$F and C${}_2$H
• Band filling control of the Dzyaloshinskii-Moriya interaction in weakly ferromagnetic insulators
• Dynamical and Reversible Control of Topological Spin Textures
• Comparison of first-principles methods to extract magnetic parameters in ultra-thin films: Co/Pt(111)
• Weak ferromagnetism in Mn nanochains on the CuN surface
• Probing the topology of the quantum analog of a classical skyrmion
• First-principles modelling of magnetic excitations in Mn12
• Triangular Spin-Orbit-Coupled Lattice with Strong Coulomb Correlations: Sn Atoms on a SiC(0001) Substrate
• An accurate scheme to calculate the interatomic Dzyaloshinskii-Moriya interaction parameters
• Validity and limitations of the superexchange model for the magnetic properties of Sr2IrO4 and Ba2IrO4 mediated by the strong spin-orbit coupling
• Magnetic interactions in strongly correlated systems: spin and orbital contributions
• Spin-orbit coupling and magnetic interactions in Si(111):{C,Si,Sn,Pb}
• Superexchange Interactions in Orthorhombically Distorted Titanates RTiO3 (R= Y, Gd, Sm, and La)
• Many-spin effects and tunneling splittings in Mn12 magnetic molecules
• Heisenberg-exchange-free nanoskyrmion mosaic
• Nanoskyrmion engineering with $sp$-electron materials: Sn monolayer on SiC(0001) surface

Cited by in corpus (9)

• Plane wave implementation of the magnetic force theorem for magnetic exchange constants: Application to bulk Fe, Co and Ni
• Quantum topological phase transitions in skyrmion crystals
• Quantum fluctuations in the order parameter of quantum skyrmion crystals
• Reconstruction of classical skyrmions from Anderson towers: quantum Darwinism in action
• Topological superconductivity mediated by magnons of helical magnetic states
• Reciprocal space study of Heisenberg exchange interactions in ferromagnetic metals
• Gilbert damping in two-dimensional metallic anti-ferromagnets
• High-accuracy evaluation of non-thermal magnetic states beyond spin-wave theory: applications to higher-energy states
• Impact of the honeycomb spin-lattice on topological magnons and edge states in ferromagnetic 2D skyrmion crystals