Hall-effect studies of the mixed state ofY1−xPrxBa2Cu3O7−δ(0≤x≤0.42) andYBa2Cu3Oy(6.65≤y≤6.84) single crystals

The maximum value Δ of the negative Hall resistivity ${\mathrm{\rho }}_{\mathit{xy}}$ of ${\mathrm{Y}}_{1\mathrm{-}\mathit{x}}$ ${\mathrm{Pr}}_{\mathit{x}}$ ${\mathrm{Ba}}_2$ ${\mathrm{Cu}}_3$ ${\mathrm{O}}_{7\mathrm{-}\mathrm{\delta }}$ (0≤x≲0.13) and ${\mathrm{YBa}}_2$ ${\mathrm{Cu}}_3$ ${\mathrm{O}}_{\mathit{y}}$ (6.73≲y≤6.84) single crystals scales with T/${\mathit{T}}_{\mathit{c}}$, exhibiting a maximum ${\mathrm{\Delta }}_{\max }$ for T/${\mathit{T}}_{\mathit{c}}$≊0.96 and vanishing for T/${\mathit{T}}_{\mathit{c}}$≲0.87. ${\mathrm{\Delta }}_{\max }$ scales with ${\mathit{T}}_{\mathit{c}}$ and decreases monotonically with decreasing ${\mathit{T}}_{\mathit{c}}$ to zero for ${\mathit{T}}_{\mathit{c}}$≲70 K. The Hall conductivity ${\mathrm{\sigma }}_{\mathit{xy}}$ vs B data have been analyzed using the expression ${\mathrm{\sigma }}_{\mathit{xy}}$=${\mathit{C}}_1$/B+${\mathit{C}}_2$B, where the two terms are associated with motion of the magnetic vortices and the quasiparticles in the vortex cores, respectively, yielding ${\mathit{C}}_1$ and ${\mathit{C}}_2$ as functions of x, y, and T.