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Spin dynamics from time-dependent spin-density-functional theory.

Zhixin Qian1, Giovanni Vignale

  • 1Department of Physics, University of Missouri, Columbia, Missouri 65211, USA.

Physical Review Letters
|February 28, 2002
PubMed
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We present a new method to understand spin-wave dynamics in magnetic materials using time-dependent spin-density-functional theory. Our approach incorporates Berry curvature and damping effects for more accurate predictions.

Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • Understanding spin-wave dynamics is crucial for developing advanced magnetic materials.
  • Existing models often lack comprehensive treatment of relativistic effects and damping.
  • Time-dependent spin-density-functional theory (TD-SF) provides a powerful framework for electronic structure calculations.

Purpose of the Study:

  • To derive the spin-wave dynamics of magnetic materials from first principles.
  • To incorporate relativistic corrections, specifically Berry curvature, and damping into the equation of motion for magnetization.
  • To develop a gradient expansion scheme for calculating these corrections.

Main Methods:

  • Utilizing time-dependent spin-density-functional theory (TD-SF) in the linear response regime.

Related Experiment Videos

  • Deriving the equation of motion for magnetization including static spin stiffness, Berry curvature, and damping.
  • Employing a gradient expansion scheme based on the homogeneous spin-polarized electron gas.

    • Main Results:

    • Successfully derived spin-wave dynamics incorporating Berry curvature and damping.
    • Proposed a gradient expansion scheme for the Berry curvature and damping terms.
    • Calculated the first few coefficients of the expansion to second order in Coulomb interaction.

    Conclusions:

    • The derived spin-wave dynamics provide a more accurate description of magnetic materials.
    • The proposed gradient expansion offers a practical method for calculating key parameters.
    • This work advances the theoretical understanding of spin-wave phenomena in condensed matter.