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2010 | 118 | 2 | 261-266
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Unconventional Superconducting States of an Almost Localized Fermionic Liquid with Nonstandard Quasiparticles: Generalized Gutzwiller Approach

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We apply the concept of generalized (almost localized) Fermi liquid and associated with it unconventional superconductivity with Cooper pairs composed of quasiparticles with the spin dependent masses (in an applied field) and with the effective field, both induced by electron correlations. The pairing among quasiparticles takes place either in reciprocal space (Sect. 2) or in real space (Sect. 3) and is induced by the kinetic exchange of either superexchange (in the generic narrow-band situation) or Kondo-type interaction (in the Kondo-lattice limit of the periodic Anderson model). While the main features of this type of Fermi liquid have been introduced earlier, we present here a picture which is applicable to both heavy-fermion and high-T_{c} superconductivity within a single narrow-band representation of correlated states. Our approach introduces a set of additional concepts (spin-dependent masses, effective fields induced by electron correlations), for which the Landau concept of the Fermi liquid represents still a workable scheme. In the limit of the Kondo lattice, we present the phase diagram incorporating the Fulde-Ferrell-Larkin-Ovchinnikov phase within the BCS-type of pairing, whereas in that of the t-J model we show that the proper choice of renormalization factors and constraints is crucial for the mean-field description of the superconducting state.
  • Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
  • Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
  • Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Reymonta 19, 30-059 Kraków, Poland
  • 1. For a didactical overview see e.g. J. Spałek, Eur. J. Phys. 21, 511 (2000)
  • 2. See e.g. F. Gebhard, The Metal-Insulator Transition, Springer Verlag, Berlin 1997; M. Imada, A. Fujimori, Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998)
  • 3. See e.g. Y. Kuramoto, Y. Kitaoka, Dynamics of Heavy Electrons, Clarendon Press, Oxford 2000; C.M. Varma, Physica B 378-380, 17 (2006)
  • 4. J. Kaczmarczyk, J. Spałek, Phys. Rev. B 79, 214519 (2009)
  • 5. J. Kaczmarczyk, J. Spałek, arXiv:0907.3589 (unpublished)
  • 6. J. Karbowski, J. Spałek, Phys. Rev. B 49, 1454 (1994); Acta Phys. Pol. A 85, 341 (1994)
  • 7. M. Ogata, H. Fukuyama, Rep. Prog. Phys. 71, 036501 (2008)
  • 8. J. Spałek, Acta Phys. Pol. A 111, 409 (2007)
  • 9. J. Jędrak, J. Spałek, Phys. Rev. B 81, 073108 (2010)
  • 10. For recent review of the literature see: A. Camjayi, M.J. Rozenberg, R. Citra, Phys. Rev. B 76, 195108 (2007). For earlier review see: J. Spałek, W. Wójcik, in: Spectroscopy of Mott Insulators and Correlated Metals, Springer Verlag, Berlin 1995, p. 41
  • 11. M.C. Gutzwiller, Phys. Rev. 131, A1726 (1965); J. Bünemann, F. Gebhard, R. Thul, Phys. Rev. B 67, 075103 (2003). For extension of this method as applied to t-J model see e.g. M. Ogata, A. Himeda, J. Phys. Soc. Jpn. 72, 374 (2003); N. Fukushima, Phys. Rev. B 78, 115105 (2008)
  • 12. G. Kotliar, S.Y. Savrasov, K. Haule, V.S. Oudovenko, O. Parcollet, C.A. Marianetti, Rev. Mod. Phys. 78, 865 (2006); H. Sakoda, Y. Ishii, J. Phys. Soc. Jpn. 79, 041701 (2010)
  • 13. J. Spałek, Physica B 378-380, 654 (2006), Phys. Status Solidi B 243, 78 (2006); A.C. Hewson, J. Bauer, W. Koller, Phys. Rev. B 73, 045117 (2006); S. Onari, H. Kontani, Y. Tanaka, J. Phys. Soc. Jpn. 77, 023703 (2008); J. Bauer, A.C. Hewson, Phys. Rev. B 76, 035118 (2007)
  • 14. P. Korbel, W. Wójcik, A. Klejnberg, J. Spałek, M. Acquarone, M. Lavagna, Eur. J. Phys. B 32, 315 (2003); P. Korbel, J. Spałek, W. Wójcik, M. Acquarone, Phys. Rev. B 52, R2213 (1995)
  • 15. J. Jędrak, J. Spałek, arXiv:0804.1376 (unpublished)
  • 16. The both types of pairing have been introduced with the exact projections respectively in: J. Spałek, Phys. Rev. B 37, 533 (1988); ibid., 38, 208 (1988); J. Karbowski, J. Spałek, ibid., 49, 1454 (1994); for a brief review see: J. Spałek, in: Encyclopedia of Physical Science and Technology, 3rd ed., Vol. 16, Academic Press, San Diego 2002, p. 251
  • 17. K. Maki, Phys. Rev. 148, 362 (1966). The Maki parameter is high for heavy fermions, cf. K. Kumagai, M. Saitoh, T. Oyaizu, Y. Furukawa, S. Takashima, M. Nohara, H. Takagi, Y. Matsuda, Phys. Rev. Lett. 97, 227002 (2006); C.F. Miclea, M. Nicklas, D. Parker, K. Maki, J.L. Sarrao, J.D. Thompson, G. Sparn, F. Steglich, Phys. Rev. Lett. 96, 117001 (2006); K. Kakuyanagi, M. Saitoh, K. Kumagai, S. Takashima, M. Nohara, H. Takagi, Y. Matsuda, ibid., 94, 047602 (2005)
  • 18. G. Koutroulakis, M.D. Stewart, Jr., V.F. Mitrović, M. Horvatić, C. Berthier, G. Lapertot, J. Flouquet, Phys. Rev. Lett. 104, 087001 (2010); M. Kenzelmann, Th. Strässle, C. Niedermayer, M. Sigrist, B. Padmanabhan, M. Zolliker, A.D. Bianchi, R. Movshovich, E.D. Bauer, J.L. Sarrao, J.D. Thompson, Science 321, 1652 (2008)
  • 19. For an explicit definition of the Gutzwiller projection operator see: K.A. Chao, J. Spałek, A.M. Oleś, Phys. Rev. B 18, 3453 (1978)
  • 20. J. Spałek, Condens. Matter Phys. 11, 455 (2008) [cf. arXiv: 0806.0773]
  • 21. (a) J. Kurzyk, W. Wójcik, J. Spałek, Eur. Phys. J. B 66, 385 (2008); (b) J. Spałek, Condens. Matter Phys. 11, 455 (2008)
  • 22. J. Spałek, A. Datta, J.M. Honig, Phys. Rev. B 33, 4891 (1986); J. Spałek, J.M. Honig, M. Acquarone, A. Datta, J. Magn. Magn. Mater. 54-57, 1047 (1986)
  • 23. M. Raczkowski, Acta Phys. Pol. A 114, 107 (2008)
  • 24. J. Jędrak, J. Spałek, arXiv:1004.4282 (unpublished)
  • 25. N. Fukushima, Phys. Rev. B 78, 115105 (2008)
  • 26. M. Mierzejewski, A. Ptok, M. Maska, Phys. Rev. B 80, 174525 (2009); Y. Yanase, M. Sigrist, J. Phys. Soc. Jpn. 78, 114715 (2009); A. Aperis, G. Varelogiannis, P.B. Littlewood, B. Simons, J. Supercond. Nov. Magn. 22, 115 (2009)
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