Valence Fluctuations Revealed by Magnetic Field Scan: Comparison with Experiments in YbXCu_4 (X=In, Ag, Cd) and CeYIn_5 (Y=Ir, Rh)

TL;DR

This paper investigates how magnetic fields influence valence transitions in heavy fermion materials, revealing that magnetic fields can induce quantum critical points and reentrant critical fluctuations, explaining various experimental observations.

Contribution

It demonstrates that magnetic fields can suppress critical temperatures to quantum critical points in valence transition systems, highlighting the cooperative role of Zeeman and Kondo effects.

Findings

Magnetic field suppresses critical temperature to a QCP.

Field-induced QCP causes divergence in magnetic susceptibility.

Reentrant critical valence fluctuations observed under magnetic fields.

Abstract

The mechanism of how critical end points of the first-order valence transitions (FOVT) are controlled by a magnetic field is discussed. We demonstrate that the critical temperature is suppressed to be a quantum critical point (QCP) by a magnetic field. This results explain the field dependence of the isostructural FOVT observed in Ce metal and YbInCu_4. Magnetic field scan can lead to reenter in a critical valence fluctuation region. Even in the intermediate-valence materials, the QCP is induced by applying a magnetic field, at which the magnetic susceptibility also diverges. The driving force of the field-induced QCP is shown to be a cooperative phenomenon of the Zeeman effect and the Kondo effect, which creates a distinct energy scale from the Kondo temperature. The key concept is that the closeness to the QCP of the FOVT is capital in understanding Ce- and Yb-based heavy fermions. It explains the peculiar magnetic and transport responses in CeYIn_5 (Y=Ir, Rh) and metamagnetic transition in YbXCu_4 for X=In as well as the sharp contrast between X=Ag and Cd.