Normal-state Hall effect in ${\mathrm{YBa}}_2$${\mathrm{Cu}}_{3\mathrm{-}\mathit{x}}$${\mathrm{Fe}}_{\mathit{x}}$${\mathrm{O}}_{7\mathrm{-}\mathrm{\delta }}$ single crystals

We have measured the normal-state Hall effect on single crystals of ${\mathrm{YBa}}_2$ ${\mathrm{Cu}}_{3\mathrm{-}\mathit{x}}$ ${\mathrm{Fe}}_{\mathit{x}}$ ${\mathrm{O}}_{7\mathrm{-}\mathrm{\delta }}$ with the magnetic field perpendicular to the ab plane and the current in the ab plane. The Hall coefficient is positive for all crystals (0≤x≤0.20) over the entire temperature range of our measurement (${\mathit{T}}_{\mathit{c}}$≤T≤300 K). A strong temperature dependence of the Hall coefficient was also observed. We show that the Hall angle in the normal-state follows the relation cot ${\mathrm{FTHETA}}_{\mathrm{H}}$=${\mathrm{AT}}^2$+B, which is in agreement with Anderson’s prediction for the two-dimensional Luttinger liquid.