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TMF, 2009, Volume 159, Number 1, Pages 162–173 (Mi tmf6339)  

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

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

V. A. Moskalenkoab, P. Entelc, 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 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 Dyson-type 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.

Keywords: strongly correlated electron system, Dyson equation, Green's function, Anderson impurity model

DOI: https://doi.org/10.4213/tmf6339

Full text: PDF file (621 kB)
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English version:
Theoretical and Mathematical Physics, 2009, 159:1, 551–560

Bibliographic databases:

Received: 02.08.2008

Citation: V. A. Moskalenko, P. Entel, L. A. Dohotaru, R. Citro, “Diagrammatic theory for the Anderson impurity model: Stationary property of the thermodynamic potential”, TMF, 159:1 (2009), 162–173; Theoret. and Math. Phys., 159:1 (2009), 551–560

Citation in format AMSBIB
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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, 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
    2. Moskalenko V.A., Dohotaru L.A., “Diagrammatic analysis of the Hubbard model: Stationary property of the thermodynamic potential”, Physics of Particles and Nuclei, 41:7 (2010), 1039–1043  crossref  adsnasa  isi  scopus  scopus
    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  scopus
    4. Moskalenko V.A., Dohotaru L.A., Cebotari I.D., “Diagram analysis of the Hubbard model: Stationarity property of the thermodynamic potential”, Journal of Experimental and Theoretical Physics, 111:1 (2010), 97–103  crossref  adsnasa  isi  scopus  scopus
    5. 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  scopus
    6. 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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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