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We derived a new method to calculate the Dzyaloshinskii-Moriya interaction (DMI) in non-collinear magnetic systems. This DMI can be significant even without spin-orbit coupling, driven by non-collinear magnetic structures.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • The Dzyaloshinskii-Moriya interaction (DMI) is crucial for understanding magnetic phenomena.
  • Calculating DMI in non-collinear magnetic configurations is challenging.
  • Previous methods often assumed collinearity or spin-orbit coupling.

Purpose of the Study:

  • To derive a general expression for DMI applicable to non-collinear magnetic states.
  • To implement this formalism within a real-space-linear muffin-tin orbital-atomic sphere approximation (RS-LMTO-ASA) method.
  • To investigate the influence of non-collinear magnetism on DMI.

Main Methods:

  • Derivation of a general DMI vector expression with independent components.
  • Implementation using the RS-LMTO-ASA computational technique.
  • Numerical studies on Cr and Mn trimers on noble metal surfaces (Au(111), Ag(111)).

Main Results:

  • The DMI magnitude and direction differ significantly between collinear and non-collinear magnetic states.
  • DMI can be substantial even without spin-orbit coupling.
  • Non-collinear magnetic structures induce significant spin and charge currents.

Conclusions:

  • The developed formalism provides a robust way to calculate DMI in complex magnetic systems.
  • Non-collinear magnetism is a key factor influencing DMI, independent of spin-orbit coupling.
  • This finding opens new avenues for designing materials with tailored magnetic properties.