| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Effects of electron correlation on superconductivity in the Hatsugai-Kohmoto model |
| Huai-Shuang Zhu(祝怀霜) and Qiang Han(韩强)† |
| Department of Physics, Renmin University of China, Beijing 100872, China |
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Abstract Understanding how electrons form pairs in the presence of strong electron correlations demands going beyond the BCS paradigm. We study a correlated superconducting model where the correlation effects are accounted for by a U term local in momentum space. The electron correlation is treated exactly while the electron pairing is treated approximately using the mean-field theory. The self-consistent equation for the pair potential is derived and solved. Somewhat contrary to expectation, a weak attractive U comparable to the pair potential can destroy the superconductivity, whereas for weak to intermediate repulsive U, the pair potential can be enhanced. The fidelity of the mean-field ground state is calculated to describe the strength of the elelectron correlation. We show that the pair potential is not equal to the single-electron superconducting gap for the strongly correlated superconductors, in contrast to the uncorrelated BCS limit.
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Received: 07 February 2021
Revised: 27 February 2021
Accepted manuscript online: 05 March 2021
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PACS:
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74.20.-z
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(Theories and models of superconducting state)
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74.20.Fg
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(BCS theory and its development)
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74.90.+n
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(Other topics in superconductivity)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11274379) and the Research Funds of Renmin University of China (Grant No. 14XNLQ07). |
Corresponding Authors:
Qiang Han
E-mail: hanqiang@ruc.edu.cn
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Cite this article:
Huai-Shuang Zhu(祝怀霜) and Qiang Han(韩强) Effects of electron correlation on superconductivity in the Hatsugai-Kohmoto model 2021 Chin. Phys. B 30 107401
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