Effect of Rare-earth Element Substitution in Superconducting R${}_3$Ni${}_2$O${}_7$ Under Pressure

Abstract

Recently, high temperature ($T_c\approx 80$K) superconductivity (SC) has been discovered in La${}_3$Ni${}_2$O${}_7$ (LNO) under pressure. Question arises whether the transition temperature $T_c$ could be further enhanced under suitable conditions. A possible route for realizing higher $T_c$ is element substitution. Similar SC could appear in rare-earth (RE) R${}_3$Ni${}_2$O${}_7$ (RNO, R=RE element) material series under 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. Under RE element substitution from La to RE element, the lattice constant decreases and the electronic hopping 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 $T_c$ in RNO materials. 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 RNO. However, the $T_c$ increases from La to Sm and a nearly doubled $T_c$ is achieved for SmNO. This work provides evidence for possible higher $T_c$ R${}_3$Ni${}_2$O${}_7$ materials, which may be realized in further experiments.

4 pages, 3 figures

References in corpus (29)

• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Bilayer two-orbital model of La${}_3$Ni${}_2$O${}_7$ under pressure
• Possible $S_{\pm }$-wave superconductivity in La${}_3$Ni${}_2$O${}_7$
• The s${}^{\pm }$-Wave Pairing and the Destructive Role of Apical-Oxygen Deficiencies in La${}_3$Ni${}_2$O${}_7$ Under Pressure
• Electronic correlations and superconducting instability in La${}_3$Ni${}_2$O${}_7$ under high pressure
• Possible high $T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure through Manifestation of a Nearly-Half-Filled Bilayer Hubbard Model
• Interlayer Coupling Driven High-Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$ Under Pressure
• Correlated electronic structure of La${}_3$Ni${}_2$O${}_7$ under pressure
• Orbital-Dependent Electron Correlation in Double-Layer Nickelate La3Ni2O7
• Bilayer $t$-$J$-$J_{\perp }$ Model and Magnetically Mediated Pairing in the Pressurized Nickelate La${}_3$Ni${}_2$O${}_7$
• Effective bi-layer model Hamiltonian and density-matrix renormalization group study for the high-Tc superconductivity in La${}_3$Ni${}_2$O${}_7$ under high pressure
• Electronic structure, dimer physics, orbital-selective behavior, and magnetic tendencies in the bilayer nickelate superconductor La${}_3$Ni${}_2$O${}_7$ under pressure
• Pressure-induced superconductivity in polycrystalline La3Ni2O7
• Structural phase transition, $s_{\pm }$-wave pairing and magnetic stripe order in the bilayered nickelate superconductor La${}_3$Ni${}_2$O${}_7$ under pressure
• High-$T_c$ superconductivity by mobilizing local spin singlets and possible route to higher $T_c$ in pressurized La${}_3$Ni${}_2$O${}_7$
• Theoretical analysis on the possibility of superconductivity in a trilayer Ruddlesden-Popper nickelate La${}_4$Ni${}_3$O${}_{10}$ under pressure and its experimental examination: comparison with La${}_3$Ni${}_2$O${}_7$
• High Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Flat bands promoted by Hund's rule coupling in the candidate double-layer high-temperature superconductor La${}_3$Ni${}_2$O${}_7$
• Correlated electronic structure, orbital-selective behavior, and magnetic correlations in double-layer La${}_3$Ni${}_2$O${}_7$ under pressure
• Charge Transfer and Zhang-Rice Singlet Bands in the Nickelate Superconductor $\mathrm{L}{\mathrm{a}}_3\mathrm{N}{\mathrm{i}}_2{\mathrm{O}}_7$ under Pressure
• Correlation Effects and Concomitant Two-Orbital $s_{\pm }$-Wave Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure
• Trends in electronic structures and $s_{\pm }$-wave pairing for the rare-earth series in bilayer nickelate superconductor $R_3$Ni${}_2$O${}_7$
• Effects of Pressure and Doping on Ruddlesden-Popper phases Lan+1NinO3n+1
• Pressure Driven Fractionalization of Ionic Spins Results in Cupratelike High-$T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Impurity and vortex States in the bilayer high-temperature superconductor ${\mathrm{La}}_3{\mathrm{Ni}}_2{\mathrm{O}}_7$
• Structural transitions, octahedral rotations, and electronic properties of $A_3$Ni${}_2$O${}_7$ rare-earth nickelates under high pressure
• Strong pairing in mixed dimensional bilayer antiferromagnetic Mott insulators
• Structural routes to stabilise superconducting La${}_3$Ni${}_2$O${}_7$ at ambient pressure
• Effect of interlayer processes on the superconducting state within t-J-U model: Full Gutzwiller wave-function solution and relation to experiment

Cited by in corpus (24)

• Superconductivity in trilayer nickelate La4Ni3O10 under pressure
• Sensitive dependence of pairing symmetry on Ni-$e_g$ crystal field splitting in the nickelate superconductor La${}_3$Ni${}_2$O${}_7$
• Bulk superconductivity up to 96 K in pressurized nickelate single crystals
• Signature of Superconductivity in Pressurized Trilayer-nickelate Pr${}_4$Ni${}_3$O${}_{10-\delta }$
• Superconductivity in the Bilayer Two-orbital Hubbard Model
• The $s^{\pm }$-Wave Superconductivity in the Pressurized La${}_4$Ni${}_3$O${}_{10}$
• Bulk superconductivity in pressurized trilayer nickelate Pr4Ni3O10 single crystals
• Band Structure and Pairing Nature of La${}_3$Ni${}_2$O${}_7$ Thin Film at Ambient Pressure
• Hund's Rule, Interorbital Hybridization, and High-$T_c$ Superconductivity in the Bilayer Nickelate
• Impact of Pressure and Apical Oxygen Vacancies on Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Spin-density wave and superconductivity in La${}_4$Ni${}_3$O${}_{10}$ under ambient pressure
• Out-of-plane bond-order phase, superconductivity, and their competition in the $t$-$J_{\parallel }$-$J_{\perp }$ model: Possible implications for bilayer nickelates
• Strong-coupling study of the pairing mechanism in pressurized La${}_3$Ni${}_2$O${}_7$
• Doping evolution of the normal state magnetic excitations in pressurized La3Ni2O7
• $t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors
• Possible Liquid-Nitrogen-Temperature Superconductivity Driven by Perpendicular Electric Field in the Single-Bilayer Film of La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• Origin of the Diagonal Double-Stripe Spin-Density-Wave and Potential Superconductivity in Bulk La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• Variational Quantum Monte Carlo investigations of the superconducting pairing in La${}_3$Ni${}_2$O${}_7$
• Superexchanges and Charge Transfer in the La${}_3$Ni${}_2$O${}_7$ Thin Films
• Orbital-selective electron correlations in high-$T_{\mathrm{c}}$ bilayer nickelates: from a global phase diagram to implications for spectroscopy
• Expanding the trilayer Ruddlesden-Popper nickelate family: Synthesis and characterization of Sm${}_4$Ni${}_3$O${}_{10-\delta }$ single crystals
• Progress of ambient-pressure superconductivity in bilayer nickelate thin films
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$
• Spin Fluctuations in the Rare-Earth Doped Bilayer Nickelates