Strong Coupling Theory for Interacting Lattice Models

Details Strong Coupling Theory for Interacting Lattice Models Strong Coupling Theory for Interacting Lattice Models

2004-04-29

arxiv.org/abs/cond-mat/0404722v2

Phys. Rev. B 70, 205112 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

Revised Version, 17 pages, 5 figures

Scientific paper

10.1103/PhysRevB.70.205112

We develop a strong coupling approach for a general lattice problem. We argue that this strong coupling perspective represents the natural framework for a generalization of the dynamical mean field theory (DMFT). The main result of this analysis is twofold: 1) It provides the tools for a unified treatment of any non-local contribution to the Hamiltonian. Within our scheme, non-local terms such as hopping terms, spin-spin interactions, or non-local Coulomb interactions are treated on equal footing. 2) By performing a detailed strong-coupling analysis of a generalized lattice problem, we establish the basis for possible clean and systematic extensions beyond DMFT. To this end, we study the problem using three different perspectives. First, we develop a generalized expansion around the atomic limit in terms of the coupling constants for the non-local contributions to the Hamiltonian. By analyzing the diagrammatics associated with this expansion, we establish the equations for a generalized dynamical mean-field theory (G-DMFT). Second, we formulate the theory in terms of a generalized strong coupling version of the Baym-Kadanoff functional. Third, following Pairault, Senechal, and Tremblay, we present our scheme in the language of a perturbation theory for canonical fermionic and bosonic fields and we establish the interpretation of various strong coupling quantities within a standard perturbative picture.

Affiliated with

Also associated with

No associations

Rating

Strong Coupling Theory for Interacting Lattice Models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Strong Coupling Theory for Interacting Lattice Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strong Coupling Theory for Interacting Lattice Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-286735