Critical valence fluctuations and unconventional superconductivity Kazumasa Miyake Division of Materials Physics, Department of Materials Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan I present a new idea of critical-valence-fluctuation (CVF) mechanism for CeCu2 (Ge,Si)2 . 1 In particular, it is argued that the CVF mechanism is not specific to Ce112 compounds but can also apply to Ce115 compounds, such as CeCoIn5 , CeRhIn5 , and CeIrIn5 . These discussions might suggest that the CVF mechanism offers us a new paradigm for unconventional superconducitivity other than the spin fluctuation mechanism. 1 Y. Onishi and K. Miyake, J. Phys. Soc. Jpn. 69, 3955 (2000); A. T. Holmes, D. Jaccard, and K. Miyake, Phys. Rev. B 69, 024508-1 (2004). Sorting category: Bb Superconductivity Keywords: critical valence fluctuations, unconventional superconductivity, CeCu 2 (Ge,Si)2 , Ce115 INVITED PAPER LT2275