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超导性对嵌入BCS超导体中的量子杂质磁矩的影响。

Influence of superconductivity on the magnetic moment of quantum impurity embedded in BCS superconductor.

作者信息

Verma Sachin, Singh Ajay

机构信息

Physics, Indian Institute of Technology Roorkee, Cautey Bhawan, I.I.T Roorkee, Haridwar, Roorkee, UTTARAKHAND, 247667, INDIA.

Physics, Indian Institute of Technology Roorkee, Department of Physics, I.I.T Roorkee, Haridwar, Roorkee, UTTARAKHAND, 247667, INDIA.

出版信息

J Phys Condens Matter. 2020 Nov 19. doi: 10.1088/1361-648X/abcc0e.

DOI:10.1088/1361-648X/abcc0e
PMID:33212435
Abstract

We study the influence of superconductivity on the formation of the localized magnetic moment for a single-level quantum impurity embedded in an s-wave Bardeen-Cooper-Schrieffer (BCS) superconducting medium, modeled by single-impurity Anderson Hamiltonian. We have combined Bogoliubov transformation with Green's function method within self-consistent Hartree-Fock Mean Field approximation to analyze the conditions necessary in metal (in the superconducting) for the formation of the magnetic moment at the impurity site for the low-frequency limit $|\omega|<<\Delta_{sc}$ as well as for the finite superconducting gap $\Delta_{sc}$. We have compared these results with other theoretical results and with the single-level quantum impurity embedded in the normal metallic host. Further we analyze the electronic spectral density of the quantum impurity embedded in superconducting host with the finite superconducting gap to study the sub-gap states as a function of impurity parameters.

摘要

我们研究了超导性对嵌入s波巴丁-库珀-施里弗(BCS)超导介质中的单能级量子杂质局域磁矩形成的影响,该超导介质由单杂质安德森哈密顿量建模。我们在自洽哈特里-福克平均场近似下,将博戈留波夫变换与格林函数方法相结合,以分析在低频极限$|\omega|<<\Delta_{sc}$以及有限超导能隙$\Delta_{sc}$情况下,金属(处于超导态)中杂质位点形成磁矩所需的条件。我们将这些结果与其他理论结果以及嵌入正常金属主体中的单能级量子杂质的结果进行了比较。此外,我们分析了嵌入具有有限超导能隙的超导主体中的量子杂质的电子谱密度,以研究子能隙态作为杂质参数的函数。

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