Downfolded Self-Energy of Many-Electron Systems

Details Downfolded Self-Energy of Many-Electron Systems Downfolded Self-Energy of Many-Electron Systems

2008-06-20

arxiv.org/abs/0806.3373v1

Phys. Rev. Lett. 102, 176402 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages

Scientific paper

10.1103/PhysRevLett.102.176402

Starting from the full many-body Hamiltonian of interacting electrons the effective self-energy acting on electrons residing in a subspace of the full Hilbert space is derived. This subspace may correspond to, for example, partially filled narrow bands, which often characterize strongly correlated materials. The formalism delivers naturally the frequency-dependent effective interaction (the Hubbard U) and provides a general framework for constructing theoretical models based on the Green function language. It also furnishes a general scheme for first-principles calculations of complex systems in which the main correlation effects are concentrated on a small subspace of the full Hilbert space.

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