Temperature behavior of resistivity of a two-dimensional doped antiferromagnet depending on its spin susceptibility

The temperature dependence of resistivity ρ(T) of a two-dimensional doped antiferromagnet is studied for different forms of spin susceptibility χ(q, ω): with allowance for the damping and renormalization of the magnetic excitation spectrum and for the so-called strongly damped magnons. The kinetic equation is constructed on the basis of the spin-fermion model for the carrier scattering from spin fluctuations. The temperature-dependent scattering anisotropy is taken into account using the seven-moment approximation for the nonequilibrium distribution function. It is demonstrated that the resistivity calculation on the basis of the self-consistent expression for χ(q, ω) with allowance for damping qualitatively reproduces the experimental anomalous behavior of ρ(T) in high-temperature superconductors. At the same time, the strongly damped magnon approximation, which is widely used for χ(q, ω) representation, proves to be incorrect in the high-temperature region.