Nonuniqueness and derivative discontinuities in density-functional theories for current-carrying and superconducting systems

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 {\it 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.

revised version (typos corrected, some discussion added) to appear in Phys. Rev. B

References in corpus (2)

• Nonuniqueness of the Potentials of Spin-Density-Functional Theory
• Density Functional Theory of Magnetic Systems Revisited

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