Diagrammatic approach for the twofold degenerate Anderson impurity model

The twofold degenerate Anderson impurity model [1-4] is investigated in normal and superconducting states, and the strong electronic correlations of d-electrons of impurity ion are taken into account by elaborating a suitable diagram technique. We discuss the properties of the Slater-Kanamori model...

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Main Authors: Moscalenco, Vsevolod, Dohotaru, Leonid, Digor, Dumitru, Cebotari, Irina
Format: Article
Language:English
Published: D.Ghitu Institute of Electronic Engineering and Nanotechnologies 2013-06-01
Series:Moldavian Journal of the Physical Sciences
Online Access:https://mjps.nanotech.md/archive/2013/article/29768
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author Moscalenco, Vsevolod
Dohotaru, Leonid
Digor, Dumitru
Cebotari, Irina
author_facet Moscalenco, Vsevolod
Dohotaru, Leonid
Digor, Dumitru
Cebotari, Irina
author_sort Moscalenco, Vsevolod
collection DOAJ
description The twofold degenerate Anderson impurity model [1-4] is investigated in normal and superconducting states, and the strong electronic correlations of d-electrons of impurity ion are taken into account by elaborating a suitable diagram technique. We discuss the properties of the Slater-Kanamori model [2-4] of d-impurity electrons. After finding the eigenfunctions and eigenvalues of all 16 local states, we determine the local one-particle propagator. Then we construct the perturbation theory around the atomic limit of the impurity ion and obtain the Dyson type equations between impurity electron propagators and normal and anomalous correlation functions. By summing infinite series of ladder diagrams, the approximation for correlation functions is established. The criterion for appearance of a superconducting state of the model is discussed.
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spelling doaj.art-3ebdfc75cf4d4878b261034164e098992022-12-21T20:46:17ZengD.Ghitu Institute of Electronic Engineering and NanotechnologiesMoldavian Journal of the Physical Sciences1810-648X2537-63652013-06-01123-419922029768Diagrammatic approach for the twofold degenerate Anderson impurity modelMoscalenco, VsevolodDohotaru, LeonidDigor, DumitruCebotari, IrinaThe twofold degenerate Anderson impurity model [1-4] is investigated in normal and superconducting states, and the strong electronic correlations of d-electrons of impurity ion are taken into account by elaborating a suitable diagram technique. We discuss the properties of the Slater-Kanamori model [2-4] of d-impurity electrons. After finding the eigenfunctions and eigenvalues of all 16 local states, we determine the local one-particle propagator. Then we construct the perturbation theory around the atomic limit of the impurity ion and obtain the Dyson type equations between impurity electron propagators and normal and anomalous correlation functions. By summing infinite series of ladder diagrams, the approximation for correlation functions is established. The criterion for appearance of a superconducting state of the model is discussed.https://mjps.nanotech.md/archive/2013/article/29768
spellingShingle Moscalenco, Vsevolod
Dohotaru, Leonid
Digor, Dumitru
Cebotari, Irina
Diagrammatic approach for the twofold degenerate Anderson impurity model
Moldavian Journal of the Physical Sciences
title Diagrammatic approach for the twofold degenerate Anderson impurity model
title_full Diagrammatic approach for the twofold degenerate Anderson impurity model
title_fullStr Diagrammatic approach for the twofold degenerate Anderson impurity model
title_full_unstemmed Diagrammatic approach for the twofold degenerate Anderson impurity model
title_short Diagrammatic approach for the twofold degenerate Anderson impurity model
title_sort diagrammatic approach for the twofold degenerate anderson impurity model
url https://mjps.nanotech.md/archive/2013/article/29768
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AT dohotaruleonid diagrammaticapproachforthetwofolddegenerateandersonimpuritymodel
AT digordumitru diagrammaticapproachforthetwofolddegenerateandersonimpuritymodel
AT cebotariirina diagrammaticapproachforthetwofolddegenerateandersonimpuritymodel