Effects of electron correlation on superconductivity in the Hatsugai–Kohmoto model |
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作者单位: | Department of Physics, Renmin University of China, Beijing 100872, China |
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基金项目: | 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). |
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摘 要: |
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收稿时间: | 2021-02-07 |
Effects of electron correlation on superconductivity in the Hatsugai-Kohmoto model |
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Institution: | 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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Keywords: | strong correlated superconductivity exactly solvable model mean-field theory |
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