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Kohn-Sham theory for ground-state ensembles.
1iQUEST, University of California, Santa Barbara, 93106, USA.
Physical Review Letters
|September 5, 2001
Summary
This study introduces Kohn-Sham equations for ensemble v-representable (E-VR) systems, which are crucial for accurately describing complex electronic structures. New approximations and corrections are developed for these E-VR systems.
Area of Science:
- Quantum Chemistry
- Computational Physics
- Materials Science
Background:
- Many physical electronic systems are pure-state v-representable (P-VR), described by single-determinant ground states.
- Some systems require ensemble v-representability (E-VR), using weighted sums of determinants, for accurate density representation.
Purpose of the Study:
- To develop formal Kohn-Sham equations tailored for ensemble v-representable (E-VR) physical systems.
- To derive new approximations and corrections specifically for E-VR systems.
Main Methods:
- Utilized coupling constant integration to formulate Kohn-Sham equations for E-VR systems.
- Derived local density and generalized gradient approximations for ensemble densities.
Main Results:
- Established formal Kohn-Sham equations applicable to E-VR electronic systems.
- Developed specific conditions and corrections essential for ensemble calculations.
- Introduced novel local density and generalized gradient approximations for E-VR systems.
Conclusions:
- The developed framework provides a robust method for treating E-VR systems in electronic structure calculations.
- These advancements enable more accurate modeling of complex quantum systems beyond P-VR limitations.