On the Kinetic Equation and Electrical Resistivity in Systems with Strong Spin- Hole Interaction

TL;DR

This paper develops a kinetic equation framework for holes in systems with strong spin-hole interactions, like high-temperature superconductors, emphasizing the role of spin polaron bands and quasiparticle residues in electrical resistivity.

Contribution

It introduces a kinetic equation based on spin polaron properties, highlighting the importance of band spectrum rearrangement and doping dependence of quasiparticle residues.

Findings

Resistivity is governed by spin polaron band properties.

Spectrum rearrangement occurs with doping levels.

Quasiparticle residues vary strongly with doping.

Abstract

The problem of constructing the kinetic equation with the description of motion of a hole in systems with strong spin- hole interaction (such as high- temperature superconductors) in terms of the spin polaron has been considered in the framework of the regular antiferromagnetic $s-d$ model. It has been shown by the example of the electrical resistivity that kinetics is determined by the properties of the bands of the spin polaron (rather than "bar hole") and their quasiparticle residues $Z_{k}$. The cases of low and optimal doping of the $CuO_{2}$ plane have been considered. It has been shown that the rearrangement of the spectrum of the lower polaron band, as well as the strong doping dependence of the quasiparticle residues $Z_{k}$ is decisive in the unified consideration of these cases.