Diagram theory for the~periodic Anderson model: Stationarity of the~thermodynamic potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 162 (2010) no. 3, pp. 439-458
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We develop a diagram theory for the periodic Anderson model assuming that the Coulomb repulsion of localized $f$ electrons is the main parameter of the theory. the $f$ electrons are strongly correlated and the $c$ conduction electrons are uncorrelated. We determine the $f$-electron correlation function and the $c$-electron mass operator. We formulate the Dyson equation for $c$ electrons and a Dyson-type equation for $f$ electrons and their propagators. We define the skeleton diagrams for the correlation function and the thermodynamic functional. We establish the stationarity of the renormalized thermodynamic potential under variation of the mass operator. the obtained results are applicable to both the normal and the superconducting system states.
Keywords:
strongly correlated electron system, Dyson equation, Green's function, periodic Anderson model.
@article{TMF_2010_162_3_a8,
author = {V. A. Moskalenko and L. A. Dohotaru and R. Citro},
title = {Diagram theory for the~periodic {Anderson} model: {Stationarity} of the~thermodynamic potential},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {439--458},
publisher = {mathdoc},
volume = {162},
number = {3},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2010_162_3_a8/}
}
TY - JOUR AU - V. A. Moskalenko AU - L. A. Dohotaru AU - R. Citro TI - Diagram theory for the~periodic Anderson model: Stationarity of the~thermodynamic potential JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2010 SP - 439 EP - 458 VL - 162 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2010_162_3_a8/ LA - ru ID - TMF_2010_162_3_a8 ER -
%0 Journal Article %A V. A. Moskalenko %A L. A. Dohotaru %A R. Citro %T Diagram theory for the~periodic Anderson model: Stationarity of the~thermodynamic potential %J Teoretičeskaâ i matematičeskaâ fizika %D 2010 %P 439-458 %V 162 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2010_162_3_a8/ %G ru %F TMF_2010_162_3_a8
V. A. Moskalenko; L. A. Dohotaru; R. Citro. Diagram theory for the~periodic Anderson model: Stationarity of the~thermodynamic potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 162 (2010) no. 3, pp. 439-458. http://geodesic.mathdoc.fr/item/TMF_2010_162_3_a8/