Measurements of the magnetization under high hydrostatic pressure (up to $10.2\mathrm{kbar}$) in $\mathrm{Y}{\mathrm{Ba}}_2{\mathrm{Cu}}_4{\mathrm{O}}_8$ were carried out. From the scaling analysis of the magnetization data the pressure induced shifts of the transition temperature $T_c$, the volume $V$, and the anisotropy $\gamma$ have been obtained. It was shown that the pressure-induced relative shift of $T_c$ mirrors essentially that of the anisotropy. This observation uncovers a generic property of cuprate high-temperature superconductors.

• Received 24 February 2005

DOI:https://doi.org/10.1103/PhysRevB.72.014524