Dynamical Mean Field Theory and Electronic Structure Calculations

Details Dynamical Mean Field Theory and Electronic Structure Calculations Dynamical Mean Field Theory and Electronic Structure Calculations

1999-11-04

arxiv.org/abs/cond-mat/9911056v1

Phys.Rev.B62:12715-12723,2000

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages

Scientific paper

10.1103/PhysRevB.62.12715

We formulate the dynamical mean field theory directly in the continuum. For a given definition of the local Green's function, we show the existence of a unique functional, whose stationary point gives the physical local Green's function of the solid. We present the diagrammatic rules to calculate it perturbatively in the interaction. Inspired by the success of dynamical mean field calculations for model Hamiltonian systems, we present approximations to the exact saddle point equations which may be used in the strong coupling regime, by using mappings onto generalized quantum impurity models.

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