Single-band model for the temperature-dependent Hall coefficient of high-${\mathit{T}}_{\mathit{c}}$ superconductors

We have studied the resistivity ρ and the Hall constant ${\mathit{R}}_{\mathit{H}}$ on a series of compounds derived from ${\mathrm{Bi}}_2$${\mathrm{Sr}}_2$${\mathrm{Ca}}_1$${\mathrm{Cu}}_2$${\mathrm{O}}_8$ by oxygen treatment, Y, Ni, and Zn doping. We observe approximately quadratic temperature dependence for the Hall angle as long as the resistivity is linear. We interpret the results in terms of a one-band Fermi-liquid model.