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TMF, 2008, Volume 155, Number 3, Pages 474–497 (Mi tmf6224)  

This article is cited in 6 scientific papers (total in 6 papers)

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

V. A. Moskalenkoab, P. Entelc, D. F. Digorb, L. A. Dohotarud, R. Citroe

a Joint Institute for Nuclear Research
b Institute of Applied Physics Academy of Sciences of Moldova
c University of Duisburg-Essen
d Technical University of Moldova
e Dipartimento di Fisica "E. R. Caianiello", Università degli Studi di Salerno

Abstract: We propose a diagram theory around the atomic limit for the single-impurity Anderson model in which the strongly correlated impurity electrons hybridize with free (uncorrelated) conduction electrons. Using this diagram approach, we prove a linked-cluster theorem for the vacuum diagrams and derive Dyson-type equations for localized and conduction electrons and the corresponding equations for mixed propagators. The system of equations can be closed by summing an infinite series of ladder diagrams containing irreducible Green's functions. The result allows discussing resonances associated with quantum transitions at the impurity site.

Keywords: strong correlation, spectral function, Dyson equation, Green's function, Anderson impurity model

DOI: https://doi.org/10.4213/tmf6224

Full text: PDF file (713 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2008, 155:3, 914–935

Bibliographic databases:

Received: 20.06.2007

Citation: V. A. Moskalenko, P. Entel, D. F. Digor, L. A. Dohotaru, R. Citro, “A diagram approach to the strong coupling in the single-impurity Anderson model”, TMF, 155:3 (2008), 474–497; Theoret. and Math. Phys., 155:3 (2008), 914–935

Citation in format AMSBIB
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  • http://mi.mathnet.ru/eng/tmf/v155/i3/p474

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. A. Moskalenko, P. Entel, L. A. Dohotaru, R. Citro, “Diagrammatic theory for the Anderson impurity model: Stationary property of the thermodynamic potential”, Theoret. and Math. Phys., 159:1 (2009), 551–560  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. V. A. Moskalenko, L. A. Dohotaru, R. Citro, “Diagram theory for the periodic Anderson model: Stationarity of the thermodynamic potential”, Theoret. and Math. Phys., 162:3 (2010), 366–382  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. Moskalenko V.A., Dohotaru L.A., “Diagrammatic theory for periodic anderson model”, Physics of Particles and Nuclei, 41:7 (2010), 1044–1049  crossref  adsnasa  isi  scopus
    4. Moskalenko V.A. Dohotaru L.A. Digor D.F. Cebotari I.D., “Stationary Property of the Thermodynamic Potential of the Hubbard Model in Strong Coupling Diagrammatic Approach for Superconducting State”, Low Temp. Phys., 38:10 (2012), 922–929  crossref  adsnasa  isi  elib  scopus
    5. V. A. Moskalenko, L. A. Dohotaru, D. F. Digor, I. D. Chebotar', “Diagram theory for the twofold-degenerate Anderson impurity model”, Theoret. and Math. Phys., 178:1 (2014), 115–129  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    6. Moskalenko V.A. Dohotaru L.A. Digor D.F. Cebotari I.D., “Investigation of the Generalized Anderson Impurity Model”, 3rd International Conference on Nanotechnologies and Biomedical Engineering, Ifmbe Proceedings, 55, ed. Sontea V. Tiginyanu I., Springer, 2016, 209–212  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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