Magnetic-Field Control of Quantum Critical Points of Valence Transition

Abstract

We study the mechanism how critical end points of first-order valence transitions are controlled by a magnetic field. We show that the critical temperature is suppressed to be a quantum critical point (QCP) by a magnetic field and unexpectedly the QCP exhibits nonmonotonic field dependence in the ground-state phase diagram, giving rise to emergence of metamagnetism even in the intermediate valence-crossover regime. The driving force of the field-induced QCP is clarified to be cooperative phenomena of Zeeman effect and Kondo effect, which create a distinct energy scale from the Kondo temperature. This mechanism explains peculiar magnetic response in CeIrIn5 and metamagnetic transition in YbXCu4 for X=In as well as sharp contrast between X=Ag and Cd.

arXiv comment4 pages, 4 figures

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• Valence Fluctuations Revealed by Magnetic Field Scan: Comparison with Experiments in YbXCu_4 (X=In, Ag, Cd) and CeYIn_5 (Y=Ir, Rh)
• Pressure-Induced Valence Crossover and Novel Metamagnetic Behavior near the Antiferromagnetic Quantum Phase Transition of YbNi${}_3$Ga${}_9$
• Unconventional Quantum Criticality due to Critical Valence Transition
• Origin of Drastic Change of Fermi Surface and Transport Anomalies in CeRhIn5 under Pressure
• Existence of Heavy Fermions in the Antiferromagnetic Phase of CeIn3
• New Universality Class of Quantum Criticality in Ce- and Yb-based Heavy Fermions
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• T/B Scaling in beta-YbAlB4
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• Magnetovolume Effect on the First-Order Metamagnetic Transition in UTe${}_2$
• Unusual metamagnetism in CeIrIn${}_5$
• Suppression of f-Electron Itinerancy in CeRu2Si2 by a Strong Magnetic Field
• Ubiquity of Unconventional Phenomena Associated with Critical Valence Fluctuations in Heavy Fermion Metals
• Different metamagnetism between paramagnetic Ce and Yb isomorphs
• Influence of Quantum Critical Point of First Order Valence Transition on Ce- and Yb-Based Heavy Fermions
• Wide Quantum Critical Region of Valence Fluctuations: Origin of Robust Quantum Criticality in Quasicrystal Yb15Al34Au51 under Pressure
• Quantum Critical Phase and Lifshitz Transition in an Extended Periodic Anderson Model
• On anomalous temperature dependence of relaxation rate measured by \muSR in α-YbAl_{0.986}Fe_{0.014}B_4
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• Towards A Possible Charge-Kondo effect in Optical Lattices
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• Valence Fluctuations in the Extended Periodic Anderson Model at Finite Temperatures
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• Theory for Non-Fermi Liquid Temperature Dependence in Resistivity of Ce_xLa_{1-x} Cu_{5.62} Au_{0.38} (x=0.02-0.10) on the Local Quantum Valence Criticality of Ce Impurities
• Quantum Valence Criticality in Heavy Fermions on Periodic and Aperiodic Crystals