Density-functional theory for the pairing Hamiltonian

Abstract

We consider the pairing Hamiltonian and systematically construct its density functional in the strong-coupling limit and in the limit of large particle number. In the former limit, the functional is an expansion into central moments of occupation numbers. In the latter limit, the functional is known from BCS theory. Both functionals are nonlocal in structure, and the nonlocalities are in the form of simple products of local functionals. We also derive the relation between the occupation numbers and the Kohn-Sham density.

7 pages

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Cited by in corpus (11)

• Particle-Number Projection and the Density Functional Theory
• Toward ab initio density functional theory for nuclei
• Eft for DFT
• The symmetric heavy-light ansatz
• Description of Pairing correlation in Many-Body finite systems with density functional theory
• Density-matrix functionals for pairing in mesoscopic superconductors
• Density Functional Theory with Spatial-Symmetry Breaking and Configuration Mixing
• Energy functional for the three-level Lipkin model
• Occupation number-based energy functional for nuclear masses
• Density Matrix Functional Theory for the Lipkin model
• The multilevel pairing Hamiltonian versus the degenerate case