Orbital-selective Superconductivity in the Pressurized Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$: An Infinite Projected Entangled-Pair State Study

Abstract

The newly discovered high-$T_c$ nickelate superconductor La${}_3$Ni${}_2$O${}_7$ has generated significant research interest. To uncover the pairing mechanism, it is essential to investigate the intriguing interplay between the two $e_g$, i.e., $d_{x^2-y^2}$ and $d_{z^2}$ orbitals. Here we perform an infinite projected entangled-pair state (iPEPS) study of the bilayer $t$-$J$ model, directly in the thermodynamic limit and with orbitally selective parameters for $d_{x^2-y^2}$ and $d_{z^2}$ orbitals, respectively. The $d_{x^2-y^2}$ electrons exhibit significant intralayer hopping $t_{\parallel }$ and spin couplings $J_{\parallel }$, with interlayer $J_{\perp }$ passed from the $d_{z^2}$ electrons. However, the interlayer $t_{\perp }$ is negligible in this case. In contrast, the $d_{z^2}$ orbital demonstrates strong interlayer $t_{\perp }$ and $J_{\perp }$, while the inherent intralayer $t_{\parallel }$ and $J_{\parallel }$ are small. Based on the iPEPS results, we find clear orbital-selective behaviors in La${}_3$Ni${}_2$O${}_7$. The $d_{x^2-y^2}$ orbitals exhibit robust superconductive (SC) order driven by the interlayer coupling $J_{\perp }$; while the $d_{z^2}$ band shows relatively weak SC order as a result of small $t_{\parallel }$ (lack of coherence) but large $t_{\perp }$ (strong Pauli blocking). Furthermore, by substituting rare-earth element Pm or Sm with La, we find an enhanced SC order, which opens up a promising avenue for discovering nickelate superconductors with even higher $T_c$.

7+4 pages, 4+5 figures

References in corpus (40)

• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Minimally Entangled Typical Thermal State Algorithms
• High-temperature superconductivity with zero-resistance and strange metal behavior in La${}_3$Ni${}_2$O${}_{7-\delta }$
• Bilayer two-orbital model of La${}_3$Ni${}_2$O${}_7$ under pressure
• Visualization of Oxygen Vacancies and Self-doped Ligand Holes in La3Ni2O7-δ
• 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
• 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
• Electronic correlations and superconducting instability in La${}_3$Ni${}_2$O${}_7$ under high pressure
• Correlated electronic structure of La${}_3$Ni${}_2$O${}_7$ under pressure
• Interlayer Coupling Driven High-Temperature Superconductivity in 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${}_7$
• High Temperature Superconductivity in 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${}_7$
• 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${}_7$
• Electron correlations and superconductivity in La${}_3$Ni${}_2$O${}_7$ under pressure tuning
• Effects of Pressure and Doping on Ruddlesden-Popper phases Lan+1NinO3n+1
• Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models
• Pressure Driven Fractionalization of Ionic Spins Results in Cupratelike High-$T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Efficient simulation of infinite tree tensor network states on the Bethe lattice
• 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
• Variational tensor network renormalization in imaginary time: benchmark results in the Hubbard model at finite temperature
• Pair correlations in the two-orbital Hubbard ladder: Implications on superconductivity in the bilayer nickelate La${}_3$Ni${}_2$O${}_7$
• Strong pairing in mixed dimensional bilayer antiferromagnetic Mott insulators
• Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
• Structural routes to stabilise superconducting La${}_3$Ni${}_2$O${}_7$ at ambient pressure

Cited by in corpus (34)

• Electronic and magnetic excitations in La${}_3$Ni${}_2$O${}_7$
• Superconductivity in nickelate and cuprate superconductors with strong bilayer coupling
• Sensitive dependence of pairing symmetry on Ni-$e_g$ crystal field splitting in the nickelate superconductor La${}_3$Ni${}_2$O${}_7$
• Antiferromagnetic Ground State, Charge Density Waves and Oxygen Vacancies Induced Metal-Insulator Transition in Pressurized La${}_3$Ni${}_2$O${}_7$
• Superconductivity in the Bilayer Two-orbital Hubbard Model
• The $s^{\pm }$-Wave Superconductivity in the Pressurized La${}_4$Ni${}_3$O${}_{10}$
• Magnetic phase diagram of a two-orbital model for bilayer nickelates varying doping
• Interlayer Pairing Induced Partially Gapped Fermi Surface in Trilayer La${}_4$Ni${}_3$O${}_{10}$ Superconductors
• Decomposition of multilayer superconductivity with interlayer pairing
• Hund's Rule, Interorbital Hybridization, and High-$T_c$ Superconductivity in the Bilayer Nickelate
• Non-Fermi liquid and antiferromagnetic correlations with hole doping in the bilayer two-orbital Hubbard model of La${}_3$Ni${}_2$O${}_7$ at zero temperature
• Effective perpendicular electric field as a probe for interlayer pairing in ambient-pressure superconducting La${}_{2.85}$Pr${}_{0.15}$Ni${}_2$O${}_7$ thin films
• Interlayer interactions in ${\text{La}}_3{\text{Ni}}_2{\text{O}}_7$ under pressure: from $s^{\pm }$ to $d_{xy}$-wave superconductivity
• Strong-coupling study of the pairing mechanism in pressurized La${}_3$Ni${}_2$O${}_7$
• Highly asymmetric superconducting dome and strange metallicity in La${}_3$Ni${}_2$O${}_7$
• Superconductivity in La${}_4$Ni${}_3$O${}_{10}$ Under Pressure
• $t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors
• Strain-Engineered Electronic Structure and Superconductivity in La${}_3$Ni${}_2$O${}_7$ Thin Films
• Spin excitations in bilayer La${}_3$Ni${}_2$O${}_7$ superconductors with the interlayer pairing
• Unifying Strain-driven and Pressure-driven Superconductivity in La${}_3$Ni${}_2$O${}_7$: Suppressed charge/spin density waves and enhanced interlayer coupling
• Theory of potential impurity scattering in pressurized superconducting La${}_3$Ni${}_2$O${}_7$
• Charge distribution and magnetism in bilayer La${}_3$Ni${}_2$O${}_7$: a hybrid functional study
• Variational Quantum Monte Carlo investigations of the superconducting pairing in La${}_3$Ni${}_2$O${}_7$
• General trends of electronic structures, superconducting pairing, and magnetic correlations in the Ruddlesden-Popper nickelate $m$-layered superconductors La${}_{m+1}$Ni${}_m$O${}_{3m+1}$
• Possible Fano effect and suppression of Andreev reflection in La${}_3$Ni${}_2$O${}_7$
• Parameters dependent superconducting transition temperature in high temperature superconductors
• Orbital-selective electron correlations in high-$T_{\mathrm{c}}$ bilayer nickelates: from a global phase diagram to implications for spectroscopy
• Probing Sign-Changing Order Parameters via Impurity States in unconventional superconductors: Implications for La${}_3$Ni${}_2$O${}_7$ Superconductors with interlayer pairing
• Distinct orbital contributions to electronic and magnetic structures in La${}_4$Ni${}_3$O${}_{10}$
• Compressive Strain Turns $s^{\pm }$ into $d$-Wave Pairing in One-unit-cell La${}_3$Ni${}_2$O${}_7$ Thin Film Via Substrate-Induced Hole Doping
• Non-Fermi Liquid Behavior of the $t$-$J$ Model in the Strange Metal Phase: $U(1)$ Gauge Theory Consistent with Local Constraints
• Sublattice polarization and filamentary superconductivity in strained graphene
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$
• Layer-Resolved Impurity States Reveal Competing Pairing Mechanisms in Trilayer Nickelate Superconductor La${}_4$Ni${}_3$O${}_{10}$