Titlebook: Quantum Critical Phenomena of Valence Transition; Heavy Fermion Metals Shinji Watanabe,Kazumasa Miyake Book 2023 The Editor(s) (if applicab

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Self-consistent Renormalization Theory,apter, the SCR theory for the itinerant magnetism is discussed. When the control parameter of the material such as pressure, magnetic field, and chemical doping is changed, the continuous transition to the magnetically ordered phase can be suppressed to absolute zero, which is called the quantum cri

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,Quantum Criticality of Valence Transition—Experiments and Theory,ystematic anomalies associated with the valence instability observed in several heavy-fermion systems are overviewed. The theory of critical valence fluctuations is explained in Sect. ., Sects. ., and .. In Sect. ., the action which is essential for the valence transition is derived from the extende

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,Interplay Between Magnetic QCP and Valence QCP,cussed in Chap. .. The interplay of the magnetic order and valence fluctuations offers a key concept for understanding the heavy fermion systems beyond the ordinary concept based on Doniach’s phase diagram. In this chapter, the interplay of the magnetic QCP and the valence QCP is discussed. In Sect.

MIRE

,Instead of Epilogue—Ubiquity of Critical Valence Fluctuations,s and new cases where the relevance to those phenomena is realized recently. In particular, sharp and pronounced enhancement of the residual resistivity is emphasized as the characteristic of critical valence fluctuations. Close relation of anomalous critical phenomena and valence fluctuations has b

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0081-3869 ity class of quantum criticality in periodic crystals and qu.This book comprehensively presents an unconventional quantum criticality caused by valence fluctuations, which offers theoretical understanding of unconventional Fermi-liquid properties in cerium- and ytterbium-based heavy fermion metals i

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Fundamentals of Heavy Fermion State,ergy excited states in heavy fermion systems, such as electrons system based on f and d electrons, as collections of quasiparticles renormalized by strong interaction among constituent fermions. Effective mass of such quasiparticles is highly enhanced by the effect of the strong interaction among f-electrons.

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,Quantum Criticality of Valence Transition—Experiments and Theory,luctuations is explained in Sect. ., Sects. ., and .. In Sect. ., the action which is essential for the valence transition is derived from the extended Anderson lattice model. In Sect. ., the perturbative renormalization group method is applied to the action. In Sect. ., the mode-mode coupling theory of critical valence fluctuations is explained.

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