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Cuprate superconductors have a universal tendency to form charge density-wave(CDW) order which competes with superconductivity and is strongest at a doping$p \simeq 0.12$. Here we show that in the archetypal cuprateYBa$_{2}$Cu$_{3}$O$_{y}$ (YBCO) pressure suppresses charge order, but does notaffect the pseudogap phase. This is based on transport measurements underpressure, which reveal that the onset of the pseudogap at $T^*$ is independentof pressure, while the negative Hall effect, a clear signature of CDW order inYBCO, is suppressed by pressure. We also find that pressure and magnetic fieldshift the superconducting transition temperature $T_{\rm c}$ of YBCO in thesame way as a function of doping - but in opposite directions - and mosteffectively at $p \simeq 0.12$. This shows that the competition betweensuperconductivity and CDW order can be tuned in two ways, either by suppressingsuperconductivity with field or suppressing CDW order by pressure. Based onexisting high-pressure data and our own work, we observe that when CDW order isfully suppressed at high pressure, the so-called "1/8 anomaly" in thesuperconducting dome vanishes, revealing a smooth $T_{\rm c}$ dome which nowpeaks at $p \simeq 0.13$. We propose that this $T_{\rm c}$ dome is shaped bythe competing effects of the pseudogap phase below its critical point$p^{\star} \sim 0.19$ and spin order at low doping.

physical review. b./physical review. b

Sensitivity of $T_{\rm c}$ to pressure and magnetic field in the cuprate  superconductor YBa$_{2}$Cu$_{3}$O$_{y}$: evidence of charge order suppression  by pressure