, Volume 28, Issue 3, pp 299–310 | Cite as

Stabilization of valence fluctuations in the cerium solid by the time-dependent collision approach

  • Ratan Lal
Condensed Matter Physics


The collision-generated hybridization which has been found responsible for the on-site mixing of the atomic-likef-state and the band-liked states in mixed valence solids has been studied for the cerium solid. A practical expression which depends on the lattice constant and temperature has been obtained for the collision-generated hybridization. Numerical calculations show that the valence varies continuously with lattice constant and that temperature makes the transition smoother. The collision-generated hybridization is found to be of significant strength in the intermediate valence regime; but over a wide range of the valence near 3.5 it varies rather slowly without preferring a particular valence. Factors which can assist the collision-generated hybridization in stabilizing the mixed valence phase at a particular lattice constant are discussed.


Mixed valence intermediate valence valence fluctuations cerium solid time-dependent collision 




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  1. Barnes S E 1985Phys. Rev. Lett. 55 2192CrossRefADSGoogle Scholar
  2. Foglio M E 1978J. Phys. C11 4171ADSGoogle Scholar
  3. Gunnarsson O and Schonhammer K 1983Phys. Rev. B28 4315ADSGoogle Scholar
  4. Kaplan T A and Mahanti S D 1975Phys. Lett. A51 265ADSGoogle Scholar
  5. Kasuya T and Saso T (eds) 1985Theory of heavy fermions and valence fluctuations (Berlin: Springer-Verlag)Google Scholar
  6. Khomskii D I 1979Sov. Phys. Usp. 22 879CrossRefGoogle Scholar
  7. Khomskii D I 1984Solid State Commun. 50 197CrossRefADSGoogle Scholar
  8. Lal R 1983Phys. Rev. B27 2535ADSGoogle Scholar
  9. Lal R 1984Phys. Rev. B30 4422ADSGoogle Scholar
  10. Lal R 1986Phys. Rev. B34 1333ADSGoogle Scholar
  11. Lal R and Joshi S K 1980Pramana — J. Phys. 14 191ADSGoogle Scholar
  12. Lawrence J M, Riseborough P S and Parks R D 1981Rep. Prog. Phys. 44 1CrossRefADSGoogle Scholar
  13. Lee P A, Rice T M, Serene J W, Sham L J and Wilkins J W 1986Comments Cond. Matter. Phys. 12 99Google Scholar
  14. Robinson J M 1979Phys. Rep. 51 1CrossRefADSGoogle Scholar
  15. Schlottmann P 1980Phys. Rev. B22 622ADSMathSciNetGoogle Scholar
  16. Schluter M and Varma C M 1983Helv. Phys. Acta 56 147Google Scholar
  17. Varma C M and Schluter M 1981 inValence fluctuations in solids (eds) L M Falikov, W Hanke and M B Maple (Amsterdam: North Holland) p. 37Google Scholar
  18. Ziman J M 1969Elements of advanced quantum theory (London: Cambridge Univ. Press) p. 154MATHGoogle Scholar

Copyright information

© Indian Academy of Sciences 1987

Authors and Affiliations

  • Ratan Lal
    • 1
  1. 1.Physics DepartmentRegional Engineering CollegeSilcharIndia

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