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

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

2001-10-01

arxiv.org/abs/cond-mat/0110039v2

Phys. Rev. B 65 p. 113106 (2002)

Physics

Condensed Matter

Materials Science

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

Scientific paper

10.1103/PhysRevB.65.113106

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.

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