Dynamics of phonon clouds of correlated polarons

Moskalenko, V. A.; Dohotaru, L. A.; Digor, D. F.; Cebotari, I. D.

doi:10.1007/s11232-014-0164-z

Cited by 1 publication

(3 citation statements)

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“…The present paper generalizes our previous work [1] on diagrammatic analysis of the normal state of the Hubbard model [2][3][4] to the superconducting state. Now we shall assume the existence of pairing of charge carriers and non-zero Bogolyubov quasi-averages [5] and, consequently, of the Gor'kov anomalous Green's functions [6].…”

Section: Introductionsupporting

confidence: 75%

“…Such renormalized tunneling quantities will be used in the next part of the paper. The contri- ((n + 1)-th order for evolution operator) allows us to establish the following simple relation ( 1):…”

Section: Thermodynamic Potentialmentioning

confidence: 99%

“…In our previous paper [1], for the normal state of Hubbard model, we have obtained such an equation in the form of special functional. We now consider its generalization to the case of superconductivity.…”

Section: T T T T + σmentioning

confidence: 99%

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

Moskalenko

Dohotaru

Digor

et al. 2012

Low Temperature Physics

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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.

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