Correlated band theory of spin and orbital contributions to Dzyaloshinskii-Moriya interactions

Abstract

A new approach for calculations of Dzyaloshinskii-Moriya interactions in molecules and crystals is proposed. It is based on the exact perturbation expansion of total energy of weak ferromagnets in the canting angle with the only assumption of local Hubbard-type interactions. This scheme leads to a simple and transparent analytical expression for Dzyaloshinskii-Moriya vector with a natural separation into spin and orbital contributions. The main problem was transferred to calculations of effective tight-binding parameters in the properly chosen basis including spin-orbit coupling. Test calculations for La${}_2$CuO${}_4$ give the value of canting angle in a good agreement with experimental data.

4 pages, 1 figure

References in corpus (4)

• Maximally Localized Wannier Functions within the FLAPW formalism
• First principles calculation of spin-interactions and magnetic ground states of Cr trimers on Au(111)
• Dynamical Dzyaloshinsky-Moriya Interaction in KCuF3
• Construction of Wannier functions from localized atomic-like orbitals

Cited by in corpus (46)

• TB2J: a python package for computing magnetic interaction parameters
• Twisted magnetic patterns: Exploring the Dzyaloshinskii--Moriya vector
• Berry phase theory of Dzyaloshinskii-Moriya interaction and spin-orbit torques
• Doppler shift picture of the Dzyaloshinskii--Moriya interaction
• Effective gauge field theory of spintronics
• Ab initio methodology for magnetic exchange parameters: \\Generic four-state energy mapping on Heisenberg spin Hamiltonian
• All-thermal switching of amorphous Gd-Fe alloys: analysis of structural properties and magnetization dynamics
• Controlling the helicity of magnetic skyrmions in a $\beta$-Mn-type high-temperature chiral magnet
• Effective Heisenberg model and exchange interaction for strongly correlated systems
• First-Principles Evaluation of the Dzyaloshinskii--Moriya Interaction
• Non-equilibrium magnetic interactions in strongly correlated systems
• Asymmetric and symmetric exchange in a generalized 2D Rashba ferromagnet
• The relation of the Dzyaloshinskii-Moriya interaction to spin currents and to the spin-orbit field
• An accurate scheme to calculate the interatomic Dzyaloshinskii-Moriya interaction parameters
• Weak antiferromagnetic ordering and pure magnetic reflections induced by Dzyaloshinskii-Moriya interaction in MnSi-type crystals
• Frustrated magnetic helices in MnSi-type crystals
• Dzyaloshinskii-Moriya coupling in 3d insulators
• Multi-shell contribution to the Dzyaloshinskii-Moriya spiralling in MnSi-type crystals
• Magnetic interactions in strongly correlated systems: spin and orbital contributions
• Calculated magnetic exchange interactions in Dirac magnon material Cu3TeO6
• Probing of the interfacial Heisenberg and Dzyaloshinskii--Moriya exchange interaction by magnon spectroscopy
• Spin canting as a result of the competition between stripes and spirals in cuprates
• Estimating Patterns of Classical and Quantum Skyrmion States
• Normal Modes of a Spin Cycloid or Helix
• A DMI guide to magnets micro-world
• Higher-dimensional Wannier interpolation for the modern theory of the Dzyaloshinskii-Moriya interaction: Application to Co-based trilayers
• Relativistic magnetic interactions from non-orthogonal basis sets
• Linear response theories for interatomic exchange interactions
• DFT, L(S)DA, LDA+U, LDA+DMFT..., whether we do approach to a proper description of optical response for strongly correlated systems?
• Non-equilibrium itinerant-electron magnetism: a time-dependent mean-field theory
• Reciprocal space study of Heisenberg exchange interactions in ferromagnetic metals
• Light-induced Dzyaloshinskii-Moriya interactions in antiferromagnetic metals
• Spin and orbital exchange interactions from Dynamical Mean Field Theory
• Semi-realistic tight-binding model for Dzyaloshinskii-Moriya interaction
• Charge transfer transitions and circular magnetooptics in ferrites
• Dzyaloshinskii-Moriya interaction in strongly spin-orbit-coupled systems: General formula and application to topological and Rashba materials
• Linear Response Based Theories for Dzyaloshinskii-Moriya Interactions
• Spin-spiral formalism based on the multiple scattering Green's function technique with applications to ultrathin magnetic films and multilayers
• Dzyaloshinskii-Moriya interaction in absence of spin-orbit coupling
• Role of temperature-dependent spin model parameters in ultra-fast magnetization dynamics
• Density Wave Mediated Dzyaloshinskii-Moriya Interactions
• Decomposition of modified Landau-Lifshitz-Gilbert equation and corresponding analytic solutions
• Experimental determination of the spin Hamiltonian of the cubic chiral magnet MnSi
• Giant orbital magnetoresistance in the antiferromagnet CoO driven by dynamic orbital angular momentum interaction
• Theory of electron transport and magnetization dynamics in metallic ferromagnets
• Environmental Screening and Ligand-Field Effects to Magnetism in CrI${}_3$ Monolayer