Effective action approach to strongly correlated fermion systems

Abstract

We construct a new functional for the single particle Green's function, which is a variant of the standard Baym Kadanoff functional. The stability of the stationary solutions to the new functional is directly related to aspects of the irreducible particle hole interaction through the Bethe Salpeter equation. A startling aspect of this functional is that it allows a simple and rigorous derivation of both the standard and extended dynamical mean field (DMFT) equations as stationary conditions. Though the DMFT equations were formerly obtained only in the limit of infinite lattice coordination, the new functional described in the work, presents a way of directly extending DMFT to finite dimensional systems, both on a lattice and in a continuum. Instabilities of the stationary solution at the bifurcation point of the functional, signal the appearance of a zero mode at the Mott transition which then couples t o physical quantities resulting in divergences at the transition.

9 pages

References in corpus (5)

• Landau Theory of the Finite Temperature Mott Transition
• The Finite Temperature Mott Transition in the Hubbard Model in Infinite Dimensions
• Stability of self-consistent solutions for the Hubbard model at intermediate and strong coupling
• Dynamical Mean Field Theory and Electronic Structure Calculations
• Effects of Boson Dispersion in Fermion-Boson Coupled Systems

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