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Solving the ultranonlocality problem in time-dependent spin-density-functional theory.

Z Qian1, A Constantinescu, G Vignale

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

Physical Review Letters
|March 14, 2003
PubMed
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Time-dependent spin-density functional theory faces severe nonlocality issues with exchange-correlation potentials. Using spin current density resolves this, providing a local expression for exchange-correlation fields.

Area of Science:

  • Quantum mechanics
  • Computational physics
  • Materials science

Background:

  • Time-dependent density-functional theory (TDDFT) relies on approximations for exchange-correlation potentials.
  • Beyond the adiabatic approximation, TDDFT potentials are intrinsically nonlocal.
  • Existing methods struggle with severe nonlocality in time-dependent spin-density functional theory (TD-SFDT).

Purpose of the Study:

  • To address the severe nonlocality problem in TD-SFDT exchange-correlation potentials.
  • To propose a new theoretical framework for TD-SFDT.
  • To develop an explicit local expression for exchange-correlation fields in TD-SFDT.

Main Methods:

  • Introducing spin current density as a fundamental variable.
  • Reformulating the exchange-correlation functional in TD-SFDT.

Related Experiment Videos

  • Deriving local expressions for exchange-correlation fields.

    • Main Results:

    • Identified a severe, distinct nonlocality problem in TD-SFDT potentials.
    • Demonstrated that spin current density resolves this nonlocality issue.
    • Provided an explicit local expression for exchange-correlation fields as functionals of spin currents.

    Conclusions:

    • The use of spin current density is a viable solution to the nonlocality problem in TD-SFDT.
    • This approach simplifies calculations and improves accuracy in spin-dependent electronic structure.
    • The findings pave the way for more robust theoretical treatments in magnetism and spintronics.