Particle-number projection and the density functional theory

In the framework of the density functional theory for superconductors, we study the restoration of the particle-number symmetry by means of the projection technique. Conceptual problems are outlined and numerical difficulties are discussed. Both are related to the fact that neither the many-body Ham...

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Bibliographic Details
Published in:Physical review. C, Nuclear physics Nuclear physics, 2007-11, Vol.76 (5), Article 054315
Main Authors: Dobaczewski, J., Stoitsov, M. V., Nazarewicz, W., Reinhard, P.-G.
Format: Article
Language:English
Subjects:
ATOMIC AND MOLECULAR PHYSICS
BASIC INTERACTIONS
DENSITY
DENSITY FUNCTIONAL METHOD
HAMILTONIANS
MANY-BODY PROBLEM
NUCLEAR PHYSICS AND RADIATION PHYSICS
SUPERCONDUCTORS
SYMMETRY
WAVE FUNCTIONS
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Summary:In the framework of the density functional theory for superconductors, we study the restoration of the particle-number symmetry by means of the projection technique. Conceptual problems are outlined and numerical difficulties are discussed. Both are related to the fact that neither the many-body Hamiltonian nor the wave function of the system appear explicitly in the density functional theory. Similar obstacles are encountered in self-consistent theories utilizing density-dependent effective interactions.
ISSN:0556-2813
1089-490X
DOI:10.1103/PhysRevC.76.054315