Diagrammatic theory for Periodic Anderson Model: Stationary property of the thermodynamic potential

Details Diagrammatic theory for Periodic Anderson Model: Stationary property of the thermodynamic potential Diagrammatic theory for Periodic Anderson Model: Stationary property of the thermodynamic potential

2010-01-11

arxiv.org/abs/1001.1644v1

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 10 figures

Scientific paper

Diagrammatic theory for Periodic Anderson Model has been developed, supposing the Coulomb repulsion of $f-$ localized electrons as a main parameter of the theory. $f-$ electrons are strongly correlated and $c-$ conduction electrons are uncorrelated. Correlation function for $f-$ and mass operator for $c-$ electrons are determined. The Dyson equation for $c-$ and Dyson-type equation for $f-$ electrons are formulated for their propagators. The skeleton diagrams are defined for correlation function and thermodynamic functional. The stationary property of renormalized thermodynamic potential about the variation of the mass operator is established. The result is appropriate as for normal and as for superconducting state of the system.

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