Erik I. Tellgren
Uniform magnetic fields in density-functional theory
Tellgren, Erik I.; Laestadius, Andre; Helgaker, Trygve; Kvaal, Simen; Teale, Andrew M.
ANDREW TEALE Andrew.Teale@nottingham.ac.uk
We construct a density-functional formalism adapted to uniform external magnetic fields that is intermediate between conventional Density Functional Theory and Current-Density Functional Theory (CDFT). In the intermediate theory, which we term LDFT, the basic variables are the den- sity, the canonical momentum, and the paramagnetic contribution to the magnetic moment. Both a constrained-search formulation and a convex formulation in terms of Legendre–Fenchel transfor- mations are constructed. Many theoretical issues in CDFT find simplified analogues in LDFT. We prove results concerning N-representability, Hohenberg–Kohn-like mappings, existence of minimiz- ers in the constrained-search expression, and a restricted analogue to gauge invariance. The issue of additivity of the energy over non-interacting subsystems, which is qualitatively different in LDFT and CDFT, is also discussed.
|Journal Article Type||Article|
|Publication Date||Jan 8, 2018|
|Journal||Journal of Chemical Physics|
|Peer Reviewed||Peer Reviewed|
|APA6 Citation||Tellgren, E. I., Laestadius, A., Helgaker, T., Kvaal, S., & Teale, A. M. (2018). Uniform magnetic fields in density-functional theory. Journal of Chemical Physics, 148, https://doi.org/10.1063/1.5007300|
|Copyright Statement||Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf|
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf
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