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- W2764325093 abstract "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 linear vector potential-DFT (LDFT), the basic variables are the density, 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 transformations are constructed. Many theoretical issues in CDFT find simplified analogs in LDFT. We prove results concerning N-representability, Hohenberg–Kohn-like mappings, existence of minimizers in the constrained-search expression, and a restricted analog 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." @default.
- W2764325093 created "2017-10-20" @default.
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- W2764325093 date "2018-01-08" @default.
- W2764325093 modified "2023-10-11" @default.
- W2764325093 title "Uniform magnetic fields in density-functional theory" @default.
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- W2764325093 doi "https://doi.org/10.1063/1.5007300" @default.
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