The incoherent part of the spin-wave polarization operator in the t-J model

TL;DR

This paper analyzes the incoherent component of the spin-wave polarization operator in the t-J model, finding it negligible compared to the coherent part, which simplifies understanding magnetic properties in high-temperature superconductors.

Contribution

It provides an analytical calculation of the incoherent part of the polarization operator at small doping, demonstrating its insignificance relative to the coherent part.

Findings

Incoherent part is negligible compared to the coherent part.

Analytical calculation achieved with logarithmic accuracy.

Results simplify the analysis of magnetic structures in high-Tc superconductors.

Abstract

A calculation of the spin-wave polarization operator is very important for the analysis of the magnetic structure of high temperature superconductors. We analyze the significance of the incoherent part of the spin-wave polarization operator within the framework of the t-J model. This part is calculated analytically for small doping with logarithmic accuracy. We conclude that the incoherent part of the spin-wave polarization operator is negligible in comparison with the coherent part.