Influence of the oxygen content on the normal-state Hall angle in ${\mathrm{YBa}}_2$${\mathrm{Cu}}_3$${\mathrm{O}}_{\mathit{x}\mathit{n}}$ films

We report on measurements of in-plane resistivity ${\mathrm{\rho }}_{\mathit{a}\mathit{b}}$(T) and Hall coefficient ${\mathit{R}}_{\mathit{H}}$(T) in c-axis-oriented oxygen-deficient ${\mathrm{YBa}}_2$ ${\mathrm{Cu}}_3$ ${\mathrm{O}}_{\mathit{x}\mathit{n}}$ thin films. Independent of the changes induced in ${\mathit{R}}_{\mathit{H}}$(T) and ${\mathrm{\rho }}_{\mathit{a}\mathit{b}}$(T) by the oxygen depletion, a quadratic temperature dependence is observed for the Hall angle ${\mathrm{\theta }}_{\mathit{H}}$. The slope of cot${\mathrm{\theta }}_{\mathit{H}}$ versus ${\mathit{T}}^2$ decreases as the oxygen content ${\mathit{x}}_{\mathit{n}}$ is reduced and saturates in the ${\mathit{T}}_{\mathit{c}}$(${\mathit{x}}_{\mathit{n}}$)=60 K plateau region. The results are discussed in the framework of the two-dimensional Luttinger liquid theory as proposed by Anderson.