Geodesic
Temperature Green's functions in Fermi systems: The superconducting phase transition
Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 1, pp. 89-97 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the model of an equilibrium Fermi system of arbitrary-spin particles with the density–density-type 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.
Keywords: temperature Green's functions, superconductivity, critical behavior, renormalization group. 
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     author = {M. V. Komarova and M. Yu. Nalimov and J. Honkonen},
     title = {Temperature {Green's} functions in {Fermi} systems: {The~superconducting} phase transition},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {89--97},
     year = {2013},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_176_1_a8/}
}
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M. V. Komarova; M. Yu. Nalimov; J. Honkonen. Temperature Green's functions in Fermi systems: The superconducting phase transition. Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 1, pp. 89-97. http://geodesic.mathdoc.fr/item/TMF_2013_176_1_a8/

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