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Evidence is growing that a second dome of high-$T_\mathrm{c}$superconductivity can be accessed in the cuprates by increasing the dopingbeyond the first dome. Here we use \emph{ab initio} methods without invokingany free parameters such as the Hubbard $U$, to reveal that pressure could turnYBa$_2$Cu$_3$O$_7$ into an ideal candidate for second-dome-superconductivity,displaying the predicted signature of strongly hybridized $d_{x^2-y^2}$ and$d_{z^2}$ orbitals. Notably, pressure is found to induce a phase transitionreplacing the antiferromagnetic phases with an orbitally-degenerate $d$-$d$phase. We find an interesting doping-dependence of the oxygen-hole fraction inthe CuO$_2$ planes, which suggests the presence of a second dome.

Second Dome of Superconductivity in YBa$_2$Cu$_3$O$_7$ at High Pressure