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Temperature Green’s functions in Fermi systems: The superconducting phase transition

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Abstract

We consider the model of an equilibrium Fermi system of arbitrary-spin particles with the density-densitytype interaction. Based on the microscopic Hamiltonian in the formalism of temperature Green’s functions, we find critical modes and construct an effective action describing a neighborhood of the phase transition point. A renormalization group analysis of the obtained model leads to the standard critical behavior indices for spin-1/2 fermions but shows that in the system of higher-spin fermions, a first-order phase transition occurs whose temperature exceeds the standard estimates for the temperature of a second-order phase transition.

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Authors and Affiliations

  1. Saint Petersburg State University, St. Petersburg, Russia

    M. V. Komarova & M. Yu. Nalimov

  2. National Defence University, Helsinki, Finland

    J. Honkonen

Authors
  1. M. V. Komarova
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  2. M. Yu. Nalimov
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  3. J. Honkonen
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Correspondence to M. V. Komarova.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 176, No. 1, pp. 89–97, July, 2013.

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Komarova, M.V., Nalimov, M.Y. & Honkonen, J. Temperature Green’s functions in Fermi systems: The superconducting phase transition. Theor Math Phys 176, 906–912 (2013). https://doi.org/10.1007/s11232-013-0078-1

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  • DOI: https://doi.org/10.1007/s11232-013-0078-1

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