中文摘要：

在重整化的哈伯德模型的框架下,考虑单杂质效应,研究了d波超导体中的准粒子散射相干现象。通过计算傅里叶变换的局域态密度分别随能量和动量的变化,得到了d波超导体中准粒子散射相干的主要特征,并且发现这些特征能够在八角模型下得到很好的解释。计算结果表明,非单调的d波能隙在单杂质导致的准粒子相干散射现象中起着重要的作用。电子谱函数的强度在反节点方向受到强烈地抑制,另外在全布里渊区中出现了一些典型的准粒子散射峰。电子谱函数的计算结果表明其费米面上存在无能隙的节点,并且沿节点和反节点方向存在几个特征局域峰。随着能量的增加,布里渊区中局域峰的位置有明显的移动。

英文摘要：

Within the effect of single impurity under the framework of the Hubbard model,the phenomenon of quasi particle scattering interference in d-wave superconductor is studied.By calculating the local density of the Fourier transform,the main characteristics of the quasiparticle scattering can be obtained in d-wave superconductors,and these characteristics can be explained well by the Octet model.It is shown that the nonmonotonic dwave gap plays a crucial role in the phenomenon of quasiparticle scattering interference in the presence of a single impurity.And the intensity of the electron spectral distribution was found to be strongly suppressed at antinodal region.Moreover,there are some quasiparticle scattering peaks appear in the full Brillouin zone.The Fermi surface shows gapless nodes by calculating the electron spectral function and there are several characteristic local peaks along the nodal and antinodal direction.In particular,with the increase of energy,the position of the local peaks in the Brillouin zone moves distinctly.