Quasiparticle properties around a nonmagnetic impurity in the superconducting state of the two-dimensional t-J model

TL;DR

This paper investigates the local electronic properties near a nonmagnetic impurity in high-temperature superconductors using the t-J model, revealing a zero-energy peak in the local density of states without splitting.

Contribution

It introduces a numerical approach combining the Bogoliubov-de Gennes equation and Gutzwiller approximation to study impurity effects in the t-J model.

Findings

Zero-energy peak observed in local density of states around impurity

No splitting of the zero-energy peak unlike vortex or surface cases

Zero-energy states are localized near the impurity

Abstract

The superconducting state around a well isolated nonmagnetic impurity in the high-Tc superconductors is studied using the two-dimensional t-J model. The spatial dependence of the order parameter and the local density of states are obtained from the numerical diagonalization of the Bogoliubov-de Gennes equation derived using the Gutzwiller approximation. We find a zero-energy peak in the local density of states around the impurity. Different from the previous results on a vortex or surfaces in the t-J model, the splitting of zero-energy peak is not found. The zero-energy states corresponding to the zero-energy peak is approximately localized around the impurity.