Variations of Pairing Potential and Charge Distribution in Presence of a Non-magnetic Impurity

TL;DR

This paper investigates how a non-magnetic impurity affects the superconducting order parameter and local charge distribution in a 2D lattice using an attractive Hubbard model, revealing impurity-induced variations and charge patterns.

Contribution

It demonstrates the impact of non-magnetic impurities on superconducting and charge properties across different band fillings in a 2D system.

Findings

Order parameter is suppressed around impurities.

Charge variations appear near impurities at half-filling.

Charge distribution is isotropic around impurities at half-filling.

Abstract

Using an attractive Hubbard model we examine spatial variations of superconducting order parameter and local charge on a two dimensional lattice. For various band filling we show the effect of destruction of the order parameter around a non-magnetic impurity. In case of a half-filled system such destruction is accompanied by appearance of characteristic charge variations around the impurity with an isotropic distribution.