T/B Scaling in beta-YbAlB4

Abstract

The scaling behavior over four decades of the ratio of temperature T to magnetic field B observed in the magnetization in beta-YbAlB4 is theoretically examined. By developing a theoretical framework that exhibits the quantum critical phenomena of Yb-valence fluctuations under a magnetic field, we show that the T/B-scaling behavior can appear near the quantum critical point of the valence transition. The emergence of the T/B scaling indicates the presence of the small characteristic energy scale of critical Yb-valence fluctuations. It is argued that the quantum valence criticality offers a unified explanation for the unconventional quantum criticality as well as the T/B scaling in beta-YbAlB4.

12 pages, 2 figures

References in corpus (5)

• Quantum Valence Criticality as Origin of Unconventional Critical Phenomena
• Magnetic-Field Control of Quantum Critical Points of Valence Transition
• Layered Kondo lattice model for quantum critical beta-YbAlB4
• β-YbAlB4: a critical nodal metal
• New Universality Class of Quantum Criticality in Ce- and Yb-based Heavy Fermions