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Communication: comparing ab initio methods of obtaining effective U parameters for closed-shell materials.

Kuang Yu1, Emily A Carter1

  • 1Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544-5263, USA.

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|April 5, 2014
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Summary

The unrestricted Hartree-Fock (UHF) method is more robust than constrained density functional theory (CDFT) for calculating U parameters in closed-shell transition metals. UHF offers greater stability for both closed- and open-shell materials.

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Area of Science:

  • Computational materials science
  • Quantum chemistry
  • Solid-state physics

Background:

  • The density functional theory (DFT)+U method is crucial for modeling strongly correlated transition metal compounds.
  • Empirical determination of effective U parameters limits the accuracy of DFT+U.
  • Ab initio methods for computing U parameters, like constrained DFT (CDFT) and unrestricted Hartree-Fock (UHF), offer potential improvements.

Purpose of the Study:

  • To investigate the numerical stability of CDFT and UHF methods for calculating U parameters.
  • To compare the performance of CDFT and UHF on closed-shell transition metal compounds.
  • To identify the most suitable ab initio method for treating closed-shell systems.

Main Methods:

  • Application of the constrained DFT (CDFT) method to closed-shell transition metal oxides (ZnO, Cu2O).
  • Application of the unrestricted Hartree-Fock (UHF) method to closed-shell transition metal oxides (ZnO, Cu2O).
  • Comparison of numerical stability and robustness between CDFT and UHF.

Main Results:

  • The CDFT method exhibited numerical instability when applied to closed-shell transition metals like ZnO and Cu2O.
  • The UHF method demonstrated robust performance for both closed- and open-shell materials.
  • ZnO and Cu2O calculations highlighted the limitations of CDFT in specific material types.

Conclusions:

  • The UHF method is more reliable and suitable for calculating U parameters in closed-shell transition metals compared to CDFT.
  • UHF's robustness extends to main group elements, making it a versatile tool.
  • The findings guide the selection of appropriate ab initio methods for electronic structure calculations in materials science.