A diagram approach to the strong coupling in the single-impurity Anderson model

Moskalenko, V. A.; Entel, P.; Digor, D. F.; Dohotaru, L. A.; Citro, Roberta

doi:10.1007/s11232-008-0077-9

Cited by 11 publications

(8 citation statements)

References 41 publications

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“…This correlation function determines the mass operator Σ αα (x|x ) given by (14) for the uncorrelated conduction electrons. These two quantities Λ and Σ allow formulating Dyson equation (15) for c electrons and Dyson-type equation (16) for f electrons. These results are expressed in a general form applicable to both normal and superconducting states.…”

Section: Discussionmentioning

confidence: 99%

“…(15) and (16) and in the preceding equations containing the repeated indices (1, 2), summation over the sites indices (1, 2) and the spin indices (σ 1 , σ 2 ) and integration over time variables in the interval (0, β) is assumed. We must note that the Dyson-type equations for the correlation function and the mass operator do not exist.…”

Section: Perturbation Theorymentioning

confidence: 99%

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Diagram theory for the periodic anderson model: Stationarity of the thermodynamic potential

2010

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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.

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Section: Discussionmentioning

confidence: 99%

Section: Perturbation Theorymentioning

confidence: 99%

Diagram theory for the periodic anderson model: Stationarity of the thermodynamic potential

2010

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“…For example, the chronological average of four local operators with respect to the zeroth-order density matrix has the form [16] T f 1 …”

Section: Introductionmentioning

confidence: 99%

Diagrammatic theory for the Anderson impurity model: Stationary property of the thermodynamic potential

et al. 2009

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We propose a diagrammatic theory around the atomic limit for the normal state of the Anderson impurity model. The new diagram method is based on Wick's theorem for conduction electrons and a generalized Wick's theorem for strongly correlated impurity electrons, which coincides with the definition of the Kubo cumulant. We prove a linked-cluster theorem for the mean of the evolution operator and obtain Dysontype equations for the one-particle propagators. The main element in these equations is the impurity electron correlation function, which contains the spin, charge, and pairing fluctuations of the system. We express the system thermodynamic potential in terms of the full propagator of conduction electrons and the correlation function. We establish that the thermodynamic potential is stationary under changes of the correlation function.

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“…This question is the special problem of strongly correlated electron system and has been studied in many papers [8][9][10][11][12][13][14][15][16][17].…”

Section: Correlation Function For Anderson Impurity Modelmentioning

confidence: 99%

The theory of nonequilibrium Anderson impurity model for strongly correlated electron systems

Moskalenko

Dohotaru

Digor

2015

Low Temperature Physics

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The nonequilibrium theory of strongly correlated systems is proposed theory which is grounded on the generalized Wick theorem. This theorem is employed for calculation of the thermal averages of the contour arranged products of electron operators by generalizing Keldysh formalism. Perturbation expansion is realized for Anderson impurity model in which we consider the Coulomb interaction of the impurity electrons as a main parameter of the model and the mixing interaction between impurity and conduction electrons as a perturbation. The first two approximations are used and is obtained the value of the current between one of the leads and central region of interacting electrons. The contribution of the strong correlations and of irreducible diagrams is analyzed.

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A diagram approach to the strong coupling in the single-impurity Anderson model

Cited by 11 publications

References 41 publications

Diagram theory for the periodic anderson model: Stationarity of the thermodynamic potential

Diagram theory for the periodic anderson model: Stationarity of the thermodynamic potential

Diagrammatic theory for the Anderson impurity model: Stationary property of the thermodynamic potential

The theory of nonequilibrium Anderson impurity model for strongly correlated electron systems

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