Universal Hall effect in La1.85Sr0.15Cu1−xAxO4 systems (A=Fe,Co,Ni,Zn,Ga)

Abstract

The temperature dependence of the Hall angle is shown to follow cot${\mathrm{\Theta }}_{\mathit{H}}$=α${\mathit{T}}^2$+C(x) in five differently doped ${\mathrm{La}}_{1.85}$ ${\mathrm{Sr}}_{0.15}$ ${\mathrm{Cu}}_{1\mathrm{-}\mathit{x}}$ ${\mathit{A}}_{\mathit{x}}$ ${\mathrm{O}}_4$ systems (x is the impurity concentration and A=Fe, Co, Ni, Zn, or Ga). The slope α remains approximately constant with doping, regardless of the different magnetic or valence state of an impurity. The quantity C(x) increases linearly with x. These observations are consistent with the Hall effect in the ${\mathrm{YBa}}_2$(${\mathrm{Cu}}_{1\mathrm{-}\mathit{x}}$ ${\mathrm{Zn}}_{\mathit{x}}$ ${)}_3$ ${\mathrm{O}}_7$ system, and in conformity with Anderson’s theory of the Hall effect in a Luttinger liquid.