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Role of the d-f Coulomb interaction in intermediate valence and Kondo systems: a numerical renormalization group study

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Abstract.

Using the numerical renormalization group method, the dependences on temperature of the magnetic susceptibility χ(T) and specific heat C(T) are obtained for the single-impurity Anderson model with inclusion of d-f the Coulomb interaction. It is shown that the exciton effects caused by this effect (charge fluctuations) can significantly change the behaviour of C(T) in comparison with the standard Anderson model at moderately low temperatures, whereas the behaviour of χ(T) remains nearly universal. The ground-state and temperature-dependent renormalizations of the effective hybridization parameter and f-level position caused by the d-f interaction are calculated, and satisfactory agreement with the Hartree-Fock approximation is derived.

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References

  • Valence Instabilities and Related Narrow-Band Phenomena, edited by R.D. Parks (Plenum Press, New York, 1977)

  • Proceedings of the International Conference on Valence Fluctuations, edited by E. Müller-Hartmann, B. Roden, D. Wohlleben [J. Magn. Magn. Mater. 47–48, 1 (1985)]

  • J.M. Lawrence, P.S. Riseborough, R.D. Parks, Rep. Prog. Phys. 44, 1 (1981)

    Article  ADS  Google Scholar 

  • P.S. Riseborough, Adv. Phys. 49, 257 (2000)

    Article  ADS  Google Scholar 

  • G.R. Stewart, Rev. Mod. Phys. 56, 755 (1984); G.R. Stewart, Rev. Mod. Phys. 73, 797 (2001)

    Article  ADS  Google Scholar 

  • A.C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1993)

  • R. Ramirez, L.M. Falicov, J.C. Kimball, Phys. Rev. B 2, 3383 (1970); C.E.T. Goncalves da Silva, L.M. Falicov, J. Phys. C 5, 906 (1972)

    Article  ADS  Google Scholar 

  • K.W.H. Stevens, J. Phys. C 9, 1417 (1976); J. Phys. C 11, 985 (1978)

    Article  ADS  Google Scholar 

  • V.Yu. Irkhin, M.I. Katsnelson, J. Phys. C 17, L699 (1984); V.Yu. Irkhin, M.I. Katsnelson, Solid State Commun. 58, 881 (1986); V.Yu. Irkhin, M.I. Katsnelson, Sov. Phys. JETP 63, 631 (1986)

    Article  Google Scholar 

  • M. Colarieti-Tosti, M.I. Katsnelson, M. Mattesini, S.I. Simak, R. Ahuja, B. Johansson, O. Eriksson, C. Dallera, Phys. Rev. Lett. 93, 096403 (2004)

    Article  ADS  Google Scholar 

  • K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975)

    Article  ADS  Google Scholar 

  • H.R. Krishna-Murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1003 (1980); H.R. Krishna-Murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1044 (1980)

    Article  ADS  Google Scholar 

  • A.M. Tsvelick, P.B. Wiegmann, Adv. Phys. 32, 453 (1983)

    Article  ADS  Google Scholar 

  • N. Andrei, K. Furuya, K.H. Lowenstein, Rev. Mod. Phys. 55, 331 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  • P.B. Wiegmann, A.M. Finkelstein, Sov. Phys. JETP 48, 102 (1978)

    Google Scholar 

  • P. Schlottmann, Phys. Rev. B 22, 613, 622 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  • D.L. Cox, A. Zawadowski, Adv. Phys. 47, 599 (1998)

    Article  Google Scholar 

  • V.Yu. Irkhin, M.I. Katsnelson, JETP Lett. 80, 312 (2004)

    Article  Google Scholar 

  • P.W. Anderson, J. Phys. C 3, 2346 (1970)

    Google Scholar 

  • F.D.M. Haldane, Phys. Rev. Lett. 40, 416 (1978)

    Article  ADS  Google Scholar 

  • A.C. Hewson, A. Oguri, D. Meyer, Eur. Phys. J. B 40, 177 (2004)

    Article  ADS  Google Scholar 

  • B. Alascio, R. Allub, C.A. Balseiro, Phys. Rev. B 34, 4786 (1986)

    Article  ADS  Google Scholar 

  • T.A. Costi, A.C. Hewson, Physica C 185–189, 2649 (1991); T.A. Costi, A.C. Hewson, J. Magn. Magn. Mater. 108, 129 (1992)

    Article  ADS  Google Scholar 

  • R. Takayama, O. Sakai, J. Phys. Soc. Jpn 66, 1512 (1997)

    Article  Google Scholar 

  • A. Okiji, N. Kawakami, Phys. Rev. Lett. 50, 1157 (1983)

    Article  ADS  Google Scholar 

  • J.K. Freericks, V. Zlatić, Rev. Mod. Phys. 75, 1333 (2003)

    Article  ADS  Google Scholar 

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Correspondence to A. K. Zhuravlev.

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Zhuravlev, A., Irkhin, V. & Katsnelson, M. Role of the d-f Coulomb interaction in intermediate valence and Kondo systems: a numerical renormalization group study. Eur. Phys. J. B 55, 377–382 (2007). https://doi.org/10.1140/epjb/e2007-00070-2

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  • DOI: https://doi.org/10.1140/epjb/e2007-00070-2

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