Using the Gutzwiller approximation and Bogoliubov-de Gennes (BdG) theory, the local density of states around the nonmagnetic impurity out of the C11O2 plane in gossamer superconductors is studied within the t-J -U model. Results show that the LDOS shows typical "V" shape asmmetric curve away from the impurities. The superconducting gap reduces around the impurity, but the impurity does not destroy the superconducting. We find that the inhomogeneity originates from nonlinear screening of the ionic potential which was introduced by the doped nonmagnetic impurity.%在t-J-U模型下,应用Gutzwiller平均场近似及Bogoliubov-de Gennes(BdG)理论研究了CuO2平面外单个非磁性杂质对gossamer超导体电子局域态密度的影响.结果表明,在远离杂质点处电子局域态密度呈现出典型的非对称性,在杂质点附近平面外的非磁性杂质使超导能隙变小,但是并没有明显破坏超导.而在杂质点附近由于平面外的杂质势没有被有效屏蔽而导致CuO2平面内电子的分布在纳米尺度上存在着明显的不均匀性.
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