Magnetic polarization induced by nonmagnetic impurities in high Tc cuprates

TL;DR

This study uses variational Monte Carlo simulations to explore how nonmagnetic impurities induce magnetic polarization in high Tc cuprates, revealing localized antiferromagnetic regions and doping-dependent magnetic moments.

Contribution

It introduces a variational wave function incorporating a Jastrow factor to model impurity-induced magnetic polarization in high Tc cuprates, aligning with experimental doping dependence.

Findings

Antiferromagnetic polarization covers 4-5 lattice sites around impurities.

Significant energy gain from polarization formation.

Doping dependence of magnetic moments matches experiments.

Abstract

The magnetic polarization induced by nonmagnetic impurities such as Zn in high Tc cuprate compounds is studied by the variational Monte Carlo simulation. The variational wave function is constructed from the eigenstates obtained from Bogoliubov de Gennes mean field Hamiltonian for the two-dimensional t-J model. A Jastrow factor is introduced to account for the induced magnetic moment and the repulsion between holes and the impurity. A substantial energy gain is obtained by forming an antiferromagnetic polarization covering 4 or 5 lattice sites around the impurity. We also found the doping dependence for the induced magnetic moment consistent with experiments.