Nonuniqueness and derivative discontinuities in density-functional theories for current-carrying and superconducting systems
K. Capelle, G. Vignale
DOI 10.1103/PhysRevB.65.113106 · Physical Review B
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Abstract
Current-carrying and superconducting systems can be treated within density-functional theory if suitable additional density variables (the current density and the superconducting order parameter, respectively) are included in the density-functional formalism. Here we show that the corresponding conjugate potentials (vector and pair potentials, respectively) are not uniquely determined by the densities. The Hohenberg-Kohn theorem of these generalized density-functional theories is thus weaker than the original one. We give explicit examples and explore some consequences.
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