High-field scaling behavior of thermodynamic and transport quantities of ${\mathrm{YBa}}_2$${\mathrm{Cu}}_3$${\mathrm{O}}_{7\mathrm{-}\mathrm{\delta }}$ near the superconducting transition

The superconducting contribution to the magnetization and resistivity of twinned and untwinned ${\mathrm{YBa}}_2$ ${\mathrm{Cu}}_3$ ${\mathrm{O}}_{7\mathrm{-}\mathrm{\delta }}$ crystals which are presented here, as well as to the specific heat (Inderhees et al.) and Ettinghausen coefficient (Palstra et al.), displays scaling behavior in the variable [T-${\mathit{T}}_{\mathit{c}}$(H)]/(TH${)}^{2/3}$. This is consistent with Ginzburg-Landau fluctuation theory for a 3D system in a high magnetic field. The scaling property allows for a consistent way of determining the mean-field transition temperature ${\mathit{T}}_{\mathit{c}}$(H).