| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Magnetism and Superconductivity in the $t$–$J$ Model of La$_3$Ni$_2$O$_7$ Under Multiband Gutzwiller Approximation |
| Jie-Ran Xue1 and Fa Wang1,2* |
1International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China
2Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
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| Cite this article: |
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Jie-Ran Xue and Fa Wang 2024 Chin. Phys. Lett. 41 057403 |
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Abstract The recent discovery of possible high temperature superconductivity in single crystals of La$_3$Ni$_2$O$_7$ under pressure renews the interest in research on nickelates. The density functional theory calculations reveal that both $d_{z^2}$ and $d_{x^2-y^2}$ orbitals are active, which suggests a minimal two-orbital model to capture the low-energy physics of this system. In this work, we study a bilayer two-orbital $t$–$J$ model within multiband Gutzwiller approximation, and discuss the magnetism as well as the superconductivity over a wide range of the hole doping. Owing to the inter-orbital super-exchange process between $d_{z^2}$ and $d_{x^2-y^2}$ orbitals, the induced ferromagnetic coupling within layers competes with the conventional antiferromagnetic coupling, and leads to complicated hole doping dependence for the magnetic properties in the system. With increasing hole doping, the system transfers to A-type antiferromagnetic state from the starting G-type antiferromagnetic (G-AFM) state. We also find the inter-layer superconducting pairing of $d_{x^2-y^2}$ orbitals dominates due to the large hopping parameter of $d_{z^2}$ along the vertical inter-layer bonds and significant Hund's coupling between $d_{z^2}$ and $d_{x^2-y^2}$ orbitals. Meanwhile, the G-AFM state and superconductivity state can coexist in the low hole doping regime. To take account of the pressure, we also analyze the impacts of inter-layer hopping amplitude on the system properties.
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Received: 22 February 2024
Editors' Suggestion
Published: 07 May 2024
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| PACS: |
74.20.Rp
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(Pairing symmetries (other than s-wave))
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74.25.Ha
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(Magnetic properties including vortex structures and related phenomena)
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74.70.-b
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(Superconducting materials other than cuprates)
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