Abstract
Using the diagram technique for Hubbard operators, the effect of quasi-two-dimensionality and hybridization of the 4f electrons of cerium ions and p electrons of indium ions on the properties of the antiferromagnetic, superconducting, and mixed phases in heavy-fermion intermetallic compounds of cerium is studied. It is shown that taking into account quasi-two-dimensionality, low-energy hybridization processes renormalize the antiferromagnetic and superconducting order parameters in the broken time-reversal symmetry phase. Estimates of the critical temperatures of antiferromagnetic ordering and Cooper instability, obtained by the developed approach, are in good agreement with experimental data for cerium-based intermetallic compounds.
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References
A. I. Buzdin, L. N. Bulaevskii, M. L. Kulich, and S. V. Panyukov, Sov. Phys. Usp. 27, 927 (1984).
W. Baltensperger and S. Strassler, Phys. Condens. Matter. 1, 20 (1963).
C. Pfleiderer, Rev. Mod. Phys. 81, 1551 (2009).
J. D. Thompson and Z. Fisk, J. Phys. Soc. Jpn. 81, 011002 (2012).
Y.-M. Lu and Z. Wang, Phys. Rev. Lett. 110, 096403 (2013).
M. Ezawa, Phys. Rev. Lett. 114, 056403 (2015).
H. Hegger, C. Petrovic, E. G. Moshopoulou, M. F. Hundley, J. L. Sarrao, Z. Fisk, and J. D. Thompson, Phys. Rev. Lett. 84, 4986 (2000).
S. Kawasaki, T. Mito, Y. Kawasaki, G.-Q. Zheng, Y. Kitaoka, D. Aoki, Y. Haga, and Y. Onuki, J. Magn. Magn. Mater. 272–276, E19 (2004).
A. Llobet, J. S. Gardner, E. G. Moshopoulou, J.-M. Mignot, M. Nicklas, W. Bao, N. O. Moreno, P. G. Pagliuso, I. N. Goncharenko, J. L. Sarrao, and J. D. Thompson, Phys. Rev. B 69, 024403 (2004).
K. Miyake, S. Schmitt-Rink, and C. M. Varma, Phys. Rev. B 34, 6554 (1986).
P. Monthoux and G. G. Lonzarich, Phys. Rev. B 63, 054529 (2001).
K. Miyake and Sh. Watanabe, J. Phys. Soc. Jpn. 83, 061006 (2014).
P. Gegenwart, Q. Si, and F. Steglich, Nature Phys. 4, 186 (2008).
W. Wu and A.-M.-S. Tremblay, Phys. Rev. X 5, 011019 (2015).
V. V. Val’kov and A. D. Fedoseev, Theor. Math. Phys. 168, 1216 (2011).
P. Das, S.-Z. Lin, N. J. Ghimire, K. Huang, F. Ronning, E. D. Bauer, J. D. Thompson, C. D. Batista, G. Ehlers, and M. Janoschek, Phys. Rev. Lett. 113, 246403 (2014).
H. J. Leder and B. Muhlschlegel, Z. Phys. B 29, 341 (1978).
V. V. Val’kov and D. M. Dzebisashvili, Theor. Math. Phys. 157, 1565 (2008).
V. V. Val’kov and A. O. Zlotnikov, JETP Lett. 95, 350 (2012).
V. V. Val’kov and A. O. Zlotnikov, J. Supercond. Nov. Magn. 26, 2885 (2013).
R. O. Zaitsev, Diagrammatic method in the theory superconductivity and ferromagnetism (Moscow URSS, 2004) [in English].
S. G. Ovchinnikov and V. V. Val’kov, Hubbard Operators in the Theory of Strongly Correlated Electrons (Imperial College Press, London-Singapore, 2004) [in English].
P. D. Sacramento, J. Phys.: Condens. Matter 15, 6285 (2003).
Yu. A. Izyumov and R. P. Ozerov, Magnetic Neutronography (Nauka, Moscow, 1966) [in Russian].
J. Hubbard, Proc. R. Soc. A 285, 542 (1965).
Fu-cho Pu, Sov. Phys. Dokl. 5, 128 (1960).
R. O. Zaitsev, Sov. Phys. JETP 41, 100 (1975).
V. G. Bar’yakhtar, V. N. Kivoruchko, and D. A. Yablonskii, Green Function Method in the Theory of Magnetism (Naukova Dumka, Kiev, 1984) [in Russian].
S. G. Ovchinnikov and O. G. Petrakovskii, Sov. Phys. Solid State 29, 1073 (1986).
S. M. Hayden, G. Aeppli, T. G. Perring, H. A. Mook, and F. Dogan, Phys. Rev. B 54, R6905 (1996).
V. V. Val’kov and D. M. Dzebisashvili, J. Exp. Theor. Phys. 110, 301 (2010).
V. V. Val’kov and A. O. Zlotnikov, J. Exp. Theor. Phys. 116, 817 (2013).
V. V. Val’kov and A. O. Zlotnikov, Theor. Math. Phys. 174, 421 (2013).
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Original Russian Text © V.V. Val’kov, A.O. Zlotnikov, 2016, published in Poverkhnost’. Rentgenovskie, Sinkhrotronnye i Neitronnye Issledovaniya, 2016, No. 1, pp. 49–59
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Val’kov, V.V., Zlotnikov, A.O. Symmetry properties of the phase of coexistence of superconductivity and antiferromagnetism in 2D systems with strong electron correlations. J. Surf. Investig. 10, 58–67 (2016). https://doi.org/10.1134/S1027451016010195
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DOI: https://doi.org/10.1134/S1027451016010195