Benchmark calculations for reduced density-matrix functional theory.

Area of Science:

• Computational chemistry
• Quantum mechanics
• Materials science

Background:

• Electron correlation poses a significant challenge in quantum chemistry.
• Standard density functional theory (DFT) relies on approximations for exchange-correlation functionals.
• Reduced density-matrix functional theory (RDMFT) presents a promising alternative for accurately describing electron correlation.

Purpose of the Study:

• To benchmark recent approximations of exchange-correlation functionals within RDMFT.
• To evaluate the performance of RDMFT functionals against established quantum chemistry and DFT methods.
• To assess the accuracy of RDMFT for predicting total and atomization energies of molecules.

Main Methods:

• Implementation and application of various RDMFT functionals.
• Benchmarking against a diverse set of molecular systems.
• Comparison of calculated total energies and atomization energies.

Main Results:

• Recent RDMFT functionals demonstrate high accuracy in energy calculations.
• RDMFT results show strong agreement with standard quantum chemistry approaches.
• The performance of RDMFT functionals is competitive with state-of-the-art DFT methods.

Conclusions:

• RDMFT is a viable and accurate method for addressing electron correlation.
• The evaluated RDMFT functionals provide reliable predictions for molecular energies.
• RDMFT shows significant potential as a powerful tool in computational chemistry.