Pressure-induced quantum critical and multicritical points in a frustrated spin liquid

The quantum spin liquid compound (C$_4$H$_{12}$N$_2$)Cu$_2$Cl$_6$ (PHCC) is studied by $\mu$SR under hydrostatic pressures up to 23.6 kbar. At low temperatures, pressure-induced incommensurate magnetic order is detected beyond a quantum critical point at $P_c\sim4.3$ kbar. An additional phase transition to a different ordered phase is observed at $P_1\sim 13.4$ kbar. The data indicate that the high-pressure phase may be a commensurate one. The established $(P-T)$ phase diagram reveals the corresponding pressure-induced multicritical point at $P_1$, $T_1=2.0$ K.