# New Quantum Criticality Revealed under Pressure

## TL;DR

This paper reports the discovery of persistent quantum critical phenomena under pressure in Yb-based quasicrystals and approximants, unified by a theory of Yb-valence fluctuations.

## Contribution

It reveals that quantum criticality and $T/H$ scaling are robust in quasicrystals and approximants, explained by Yb-valence fluctuation theory.

## Key findings

- Quantum criticality persists under pressure up to 1.5 GPa.
- $T/H$ scaling observed in quasicrystals and approximants.
- Unified explanation provided by Yb-valence fluctuation theory.

## 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.