Spin-wave stiffness and micromagnetic exchange interactions expressed by means of the KKR Green function approach

Abstract

We represent an approach to calculate micromagnetic model parameters such as the tensor of exchange stiffness, Dzyaloshinskii-Moriya interaction (DMI) as well as spin-wave stiffness. The scheme is based on the fully relativistic Korringa-Kohn-Rostoker Green function (KKR-GF) technique and can be seen as a relativistic extension of the work of Lichtenstein {\em et al.} The expression for $D^{z\alpha }$ elements of DMI differ from the expressions for $D^{x\alpha }$ and $D^{y\alpha }$ elements as the former are derived via second-order perturbation term of the energy caused by spin-spiral while the latter are associated with the first-order term. Corresponding numerical results are compared with those obtained using other schemes reported in the literature.

References in corpus (9)

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• Gilbert damping in non-collinear magnetic system
• Spin spirals in ordered and disordered solids
• Composition-dependent magnetic response properties of Mn${}_{1-x}$Fe${}_x$Ge alloys

Cited by in corpus (7)

• Extension of the standard Heisenberg Hamiltonian to multispin exchange interactions
• Interfacial Dzyaloshinskii-Moriya Interaction of Antiferromagnetic Materials
• Complex magnetism of B20-MnGe: from spin-spirals, hedgehogs to monopoles
• Methods of electron transport in ab initio theory of spin stiffness
• Assessing different approaches to ab initio calculations of spin wave stiffness
• Spin-spiral formalism based on the multiple scattering Green's function technique with applications to ultrathin magnetic films and multilayers
• Intrinsic spin currents in bulk noncentrosymmetric ferromagnets