Stationary property of the thermodynamic potential of the Hubbard model in strong coupling diagrammatic approach for superconducting state
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MOSKALENKO, Vsevolod, DOHOTARU, Leonid, DIGOR, Dumitru, CEBOTARI, Irina. Stationary property of the thermodynamic potential of the Hubbard model in strong coupling diagrammatic approach for superconducting state. In: Fizika Nizkikh Temperatur, 2012, vol. 38, pp. 1167-1174. ISSN 0132-6414.
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Fizika Nizkikh Temperatur
Volumul 38 / 2012 / ISSN 0132-6414

Stationary property of the thermodynamic potential of the Hubbard model in strong coupling diagrammatic approach for superconducting state


Pag. 1167-1174

Moskalenko Vsevolod12, Dohotaru Leonid3, Digor Dumitru1, Cebotari Irina1
 
1 Institute of Applied Physics, Academy of Sciences of Moldova,
2 BLTP, Joint Institute for Nuclear Research,
3 Technical University of Moldova
 
 
Disponibil în IBN: 16 noiembrie 2023


Rezumat

Diagrammatic analysis for normal state of Hubbard model proposed in our previous paper is generalized and used to investigate superconducting state of this model. We use the notion of charge quantum number to describe the irreducible Green's function of the superconducting state. As in the previous paper we introduce the notion of tunneling Green's function and of its mass operator. This last quantity turns out to be equal to correlation function of the system. We proved the existence of exact relation between renormalized one-particle propagator and thermodynamic potential which includes integration over auxiliary interaction constant. The notion of skeleton diagrams of propagator and vacuum kinds were introduced. These diagrams are constructed from irreducible Green's functions and tunneling lines. Identity of this functional to the thermodynamic potential has been proved and the stationarity with respect to variation of the mass operator has been demonstrated. 

Cuvinte-cheie
Dyson equation, Green's function, Periodic Anderson model, Strong correlated electron system