Dzyaloshinskii-Moriya interaction in absence of spin-orbit coupling

Abstract

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 dominate over spin-orbit effects. The weak antiferromagnetic phase of Mn${}_3$Sn is used to illustrate these findings. Using electronic structure theory as a conceptual platform, all relevant exchange interactions are derived for a general, non-collinear magnetic state. It is demonstrated that non-collinearity influences all three types of exchange interaction and that physically distinct mechanisms, which connect to electron- and spin-density and currents, may be used as a general way to analyze and understand magnetic interactions of the solid state.

References in corpus (7)

• Spin current and magneto-electric effect in non-collinear magnets
• Cluster multipole theory for anomalous Hall effect in antiferromagnets
• First- principle calculations of magnetic interactions in correlated systems
• Doppler shift picture of the Dzyaloshinskii--Moriya interaction
• Correlated band theory of spin and orbital contributions to Dzyaloshinskii-Moriya interactions
• The relation of the Dzyaloshinskii-Moriya interaction to spin currents and to the spin-orbit field
• Microscopic Theory for Coupled Atomistic Magnetization and Lattice Dynamics

Cited by in corpus (3)

• Spin dynamics of itinerant electrons: local magnetic moment formation and Berry phase
• First-principles Dzyaloshinskii-Moriya interaction in a non-collinear framework
• Multiple-scattering approach for multi-spin chiral magnetic interactions: Application to the one- and two-dimensional Rashba electron gas