| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Effect of Rare-Earth Element Substitution in Superconducting R$_3$Ni$_2$O$_7$ under Pressure |
| Zhiming Pan1,2†, Chen Lu2†, Fan Yang3*, and Congjun Wu2,1,4,5* |
1Institute for Theoretical Sciences, Westlake University, Hangzhou 310024, China
2New Cornerstone Science Laboratory, Department of Physics, School of Science, Westlake University, Hangzhou 310024, China
3School of Physics, Beijing Institute of Technology, Beijing 100081, China
4Key Laboratory for Quantum Materials of Zhejiang Province, School of Science, Westlake University, Hangzhou 310024, China
5Institute of Natural Sciences, Westlake Institute for Advanced Study, Hangzhou 310024, China
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| Cite this article: |
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Zhiming Pan, Chen Lu, Fan Yang et al 2024 Chin. Phys. Lett. 41 087401 |
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Abstract Recently, high temperature ($T_{\rm c}\approx 80$ K) superconductivity (SC) has been discovered in La$_3$Ni$_2$O$_7$ (LNO) under pressure. This raises the question of whether the superconducting transition temperature $T_{\rm c}$ could be further enhanced under suitable conditions. One possible route for achieving higher $T_{\rm c}$ is element substitution. Similar SC could appear in the $Fmmm$ phase of rare-earth (RE) R$_3$Ni$_2$O$_7$ (RNO, R = RE element) material series under suitable pressure. The electronic properties in the RNO materials are dominated by the Ni $3d$ orbitals in the bilayer NiO$_2$ plane. In the strong coupling limit, the SC could be fully characterized by a bilayer single $3d_{x^2-y^2}$-orbital $t$–$J_{\parallel}$–$J_{\perp}$ model. With RE element substitution from La to other RE element, the lattice constant of the $Fmmm$ RNO material decreases, and the resultant electronic hopping integral increases, leading to stronger superexchanges between the $3d_{x^2-y^2}$ orbitals. Based on the slave-boson mean-field theory, we explore the pairing nature and the evolution of $T_{\rm c}$ in RNO materials under pressure. Consequently, it is found that the element substitution does not alter the pairing nature, i.e., the inter-layer s-wave pairing is always favored in the superconducting RNO under pressure. However, the $T_{\rm c}$ increases from La to Sm, and a nearly doubled $T_{\rm c}$ could be realized in SmNO under pressure. This work provides evidence for possible higher $T_{\rm c}$ R$_3$Ni$_2$O$_7$ materials, which may be realized in further experiments.
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Received: 08 April 2024
Published: 16 August 2024
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| PACS: |
74.20.-z
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(Theories and models of superconducting state)
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74.70.-b
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(Superconducting materials other than cuprates)
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74.72.-h
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(Cuprate superconductors)
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