Estimation of the Doping Dependence of Antiferromagnetism in the Copper Oxide Material

TL;DR

This paper investigates how doping affects antiferromagnetism in copper oxides using the $t$-$J$ model, showing that antiferromagnetic order disappears around 5% doping, aligning with experimental observations.

Contribution

It provides a theoretical analysis of doping dependence of antiferromagnetism in copper oxides considering quantum spin fluctuations within the $t$-$J$ model.

Findings

Antiferromagnetism vanishes around 5% doping.

Results agree with experimental data.

Quantum fluctuations are crucial in the model.

Abstract

Within the $t$-$J$ model, we study the doping dependence of antiferromagnetism in the copper oxide materials by considering quantum fluctuations of spinons in the random-phase-approximation. The staggered magnetization vanishes around doping $\delta=5%$ for a reasonable parameter value $t/J=5$, which is in agreement with the experiments on copper oxide materials.