New Quantum Criticality Revealed under Pressure

Abstract

Unconventional quantum critical phenomena observed in Yb-based periodic crystals such as YbRh${}_2$Si${}_2$ and $\beta$-YbAlB${}_4$ have been one of the central issues in strongly correlated electron systems. The common criticality has been discovered in quasicrystal Yb${}_{15}$Au${}_{51}$Al${}_{34}$, which surprisingly persists under pressure at least up to $P=1.5$ GPa. The $T/H$ scaling where the magnetic susceptibility can be expressed as a single scaling function of the ratio of temperature $T$ and magnetic field $H$ has been discovered in the quasicrystal, which is essentially the same as that observed in $\beta$-YbAlB${}_4$. Recently, the $T/H$ scaling as well as the common criticality has been also observed even in the approximant crystal Yb${}_{14}$Au${}_{51}$Al${}_{35}$ under pressure. The theory of critical Yb-valence fluctuation gives a natural explanation for these striking phenomena in a unified way.

arXiv comment17 pages, 5 figures, Invited review paper in the 17th International Conference on High Pressure in Semiconductor Physics (HPSP-17) & Workshop on High-pressure Study on Superconducting (WHS)

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Cited by in corpus (2)

• Magnetic orders induced by RKKY interaction in Tsai-type quasicrystalline approximant Au-Al-Gd
• The Dominant Role of Critical Valence Fluctuations on High $T_{\mathrm{c}}$ Superconductivity in Heavy Fermions