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

The superconducting state around a well-isolated nonmagnetic impurity in th e high-T-c superconductors is studied using the two-dimensional t-J model, The spatial dependence of the order parameter and the local density of stat es are obtained from the numerical diagonalization of the Bogoliubov-de Gen nes equation derived using the Gutzwiller approximation. We find a zero-ene rgy peak in the local density of stales around the impurity. Different from the previous results on a vortex or surfaces in the t-J model, the splitti ng of the zero-energy peak is not found. The zero-energy states correspondi ng to the zero-energy peak is approximately localized around the impurity.