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.
Cite
@article{arxiv.1408.5229,
title = {T/B Scaling in beta-YbAlB4},
author = {Shinji Watanabe and Kazumasa Miyake},
journal= {arXiv preprint arXiv:1408.5229},
year = {2014}
}