Superconductivity emerging near quantum critical point of valence transition

Shinji Watanabe*, Masatoshi Imada, Kazumasa Miyake

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

75 Citations (Scopus)


The nature of the quantum valence transition is studied in the one-dimensional periodic Anderson model with Coulomb repulsion between f and conduction electrons by the density-matrix renormalization group method. It is found that the first-order valence transition emerges with the quantum critical point and the crossover from the Kondo to the mixed-valence states is strongly stabilized by quantum fluctuation and electron correlation. It is found that the superconducting correlation is developed in the Kondo regime near the sharp valence increase. The origin of the superconductivity is ascribed to the development of the coherent motion of electrons with enhanced valence fluctuation, which results in the enhancement of the charge velocity, but not of the charge compressibility. Statements on the valence transition in connection with Ce metal and Ce compounds are given.

Original languageEnglish
Article number043710
Journaljournal of the physical society of japan
Issue number4
Publication statusPublished - 2006 Apr
Externally publishedYes


  • CeCu Ge
  • DMRG
  • Periodic Anderson model
  • Quantum critical point
  • Superconductivity
  • Valence fluctuation
  • Valence transition

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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