期刊
MOLECULAR PHYSICS
卷 117, 期 1, 页码 97-109出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00268976.2018.1495849
关键词
Density-functional theory; current density-functional theory; magnetic-field; coupled-cluster theory; molecular magnetic properties
资金
- Research Council of Norway through its Centres of Excellence scheme [262695]
- European Research Council under the European Union Seventh Framework Program through the Advanced Grant ABACUS [ERC] [267683]
- Norges Forskningsrad (Norwegian Research Council) [240674]
- Royal Society University Research Fellowship
- Engineering and Physical Sciences Research Council (EPSRC) [EP/M029131/1]
- Deutsche Forschungsgemeinschaft [DFG STO 1239/1-1]
We study the total molecular electronic energy and its Kohn-Sham components within the framework of magnetic-field density-functional theory (BDFT), an alternative to current-dependent density-functional theory (CDFT) for molecules in the presence of magnetic fields. For a selection of closed-shell dia- and paramagnetic molecules, we investigate the dependence of the total electronic energy and its Kohn-Sham components on the magnetic field. Results obtained from commonly used density-functional approximations are compared with those obtained from Lieb optimisations based on magnetic-field dependent relaxed coupled-cluster singles-and-doubles (CCSD) and second-order Moller-Plesset (MP2) densities. We show that popular approximate exchange-correlation functionals at the generalised-gradient-approximation (GGA), meta-GGA, and hybrid levels of theory provide a good qualitative description of the electronic energy and its Kohn-Sham components in a magnetic field-in particular, for the diamagnetic molecules. The performance of Hartree-Fock theory, MP2 theory, CCSD theory and BDFT with different exchange-correlation functionals is compared with coupled-cluster singles-doubles-perturbativetriples (CCSD(T)) theory for the perpendicular component of the magnetisability. Generalisations of the TPSS meta-GGA functional to systems in a magnetic field work well-the cTPSS functional, in particular, with a current-corrected kinetic-energy density, performs excellently, providing an accurate and balanced treatment of dia-and paramagnetic systems and outperforming MP2 theory. [GRAPHICS] .
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