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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Format: | Article |
Language: | English |
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D.Ghitu Institute of Electronic Engineering and Nanotechnologies
2013-06-01
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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. |
first_indexed | 2024-12-19T00:05:04Z |
format | Article |
id | doaj.art-3ebdfc75cf4d4878b261034164e09899 |
institution | Directory Open Access Journal |
issn | 1810-648X 2537-6365 |
language | English |
last_indexed | 2024-12-19T00:05:04Z |
publishDate | 2013-06-01 |
publisher | D.Ghitu Institute of Electronic Engineering and Nanotechnologies |
record_format | Article |
series | Moldavian Journal of the Physical Sciences |
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 |
work_keys_str_mv | AT moscalencovsevolod diagrammaticapproachforthetwofolddegenerateandersonimpuritymodel AT dohotaruleonid diagrammaticapproachforthetwofolddegenerateandersonimpuritymodel AT digordumitru diagrammaticapproachforthetwofolddegenerateandersonimpuritymodel AT cebotariirina diagrammaticapproachforthetwofolddegenerateandersonimpuritymodel |