Strong-coupling theory for multiband superconductors
Teoretičeskaâ i matematičeskaâ fizika, Tome 174 (2013) no. 2, pp. 313-325 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a microscopic theory of the strong coupling in multiband superconductors with an arbitrary electron–boson interaction. Based on the method of the equations of motion for two-time Green's functions, we derive the Dyson equation with the self-energy operator in the form of the multiparticle Green's function taking the interaction of electrons with phonons and spin fluctuations into account. We obtain a self-consistent system of equations for the normal and anomalous components of the Green's function and the self-energy operator calculated in the approximation of noncrossing diagrams. We discuss the approximate solution of the system of equations taking only components of the self-energy operator that are diagonal with respect to the band index into account for studying superconductivity in iron-based compounds.
Keywords: superconductivity theory, strong-coupling approximation, multiband superconductor, two-time Green's function.
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N. M. Plakida. Strong-coupling theory for multiband superconductors. Teoretičeskaâ i matematičeskaâ fizika, Tome 174 (2013) no. 2, pp. 313-325. http://geodesic.mathdoc.fr/item/TMF_2013_174_2_a10/

[1] V. A. Moskalenko, FMM, 8:4 (1959), 503–513

[2] H. Suhl, B. T. Matthias, L. R. Walker, Phys. Rev. Lett., 3:12 (1959), 552–554 | DOI | Zbl

[3] J. Bardeen, L. Cooper, J. Schrieffer, Phys. Rev., 106:1 (1957), 162–164 | DOI | MR

[4] V. A. Moskalenko, M. E. Palistrant, V. M. Vakalyuk, UFN, 161:8 (1991), 155–178 | DOI

[5] M. E. Palistrant, Internat. J. Modern Phys. B, 19:6 (2005), 929–970 | DOI | Zbl

[6] N. M. Plakida, High-Temperature Cuprate Superconductors. Experiment, Theory, and Applications, Springer Series in Solid-State Sciences, 166, Springer, Berlin, 2010 | DOI

[7] P. C. Canfield, S. L. Bud'ko, D. K. Finnemore, Physica C, 385:1–2 (2003), 1–7, arXiv: cond-mat/0212445 | DOI

[8] G. M. Eliashberg, ZhETF, 38 (1960), 966–974

[9] N. M. Plakida, Physica C, 282–287 (1997), 1737–1738 | DOI

[10] N. M. Plakida, L. Anton, S. Adam, G. Adam, ZhETF, 124:2 (2003), 367–378

[11] O. V. Dolgov, R. K. Kremer, J. Kortus, A. A. Golubov, S. V. Shulga, Phys. Rev. B, 72:2 (2005), 024504, 11 pp., arXiv: cond-mat/0502659 | DOI

[12] Yu. A. Izyumov, E. Z. Kurmaev, Vysokotemperaturnye sverkhprovolniki na osnove FeAs-soedinenii, NITs “Regulyarnaya i khaoticheskaya dinamika”, M.–Izhevsk, 2009

[13] J. Paglione, R. L. Greene, Nature Phys., 6 (2010), 645–658 | DOI

[14] D. C. Johnston, Adv. Phys., 59:6 (2010), 803–1061, arXiv: 1005.4392 | DOI

[15] I. I. Mazin, Nature, 464:7286 (2010), 183–186 | DOI

[16] P. J. Hirschfeld, M. M. Korshunov, I. I. Mazin, Rep. Prog. Phys., 74:12 (2011), 124508, 45 pp., arXiv: 1106.3712 | DOI

[17] O. V. Dolgov, A. A. Golubov, Phys. Rev. B, 77:21 (2008), 214526, 5 pp. ; O. V. Dolgov, I. I. Mazin, D. Parker, A. A. Golubov, Phys. Rev. B, 79:6 (2009), 060502, 4 pp. | DOI | DOI

[18] G. A. Ummarino, M. Tortello, D. Daghero, R. S. Gonnelli, Phys. Rev. B., 80:17 (2009), 172503, 4 pp., arXiv: 0904.1808 | DOI

[19] L. Benfatto, E. Cappelluti, C. Castellani, Phys. Rev. B, 80:21 (2009), 214522, 12 pp. | DOI

[20] P. Popovich, A. V. Boris, O. V. Dolgov, A. A. Golubov, D. L. Sun, C. T. Lin, R. K. Kremer, B. Keimer, Phys. Rev. Lett., 105:2 (2010), 027003, 4 pp. | DOI

[21] N. N. Bogolyubov, S. V. Tyablikov, Dokl. AN SSSR, 126:1 (1959), 53–56 | MR | Zbl

[22] D. N. Zubarev, UFN, 71:5 (1960), 71–116 ; Д. Н. Зубарев, В. Г. Морозов, Г. Рёпке, Статистическая механика неравновесных процессов, Физматлит, М., 2002 | DOI | MR | MR | Zbl

[23] V. G. Baryakhtar, V. N. Krivoruchko, D. A. Yablonskii, Funktsii Grina v teorii magnetizma, Naukova dumka, Kiev, 1984 | MR

[24] Yu. A. Izyumov, Yu. N. Skryabin, Statisticheskaya mekhanika magnitouporyadochennykh sistem, Nauka, M., 1987 | MR

[25] N. M. Plakida, TMF, 154:1 (2008), 129–146 | DOI | DOI | MR | Zbl

[26] S. V. Borisenko, V. B. Zabolotnyy, A. A. Kordyuk, D. V. Evtushinsky, T. K. Kim, I. V. Morozov, R. Follath, B. Büchner, Symmetry, 4 (2012), 251–264 | DOI