The $s^{\pm }$-Wave Superconductivity in the Pressurized La${}_4$Ni${}_3$O${}_{10}$

Abstract

Recently, evidence of superconductivity (SC) has been reported in pressurized La${}_4$Ni${}_3$O${}_{10}$. Here we study the possible pairing mechanism and pairing symmetry in this material. Through fitting the density-functional-theory band structure, we provide a six-orbital tight-binding model. In comparison with the band structure of La${}_3$Ni${}_2$O${}_7$, the additional non-bonding $d_{z^2}$ band is importance to the pairing mechanism here. When the multi-orbital Hubbard interactions are included, our random-phase-approximation based study yields an $s^{\pm }$-wave pairing. The dominant FS nesting with nesting vector ${\mathbf{Q}}_1\approx (\pi ,\pi )$ is between the $\gamma$-pocket contributed by the bonding $d_{z^2}$ band top and the ${\alpha }_1$-pocket contributed by the non-bonding $d_{z^2}$ band bottom, leading to the strongest pairing gap amplitude and opposite gap signs within the two regimes. The dominant real-space pairing is the interlayer pairing between the $d_{z^2}$ orbitals. We have also studied the doping dependence of the pairing symmetry and $T_c$.

5 pages, 5 figures

References in corpus (73)

• Restoring the density-gradient expansion for exchange in solids and surfaces
• Generalized gradient approximation for solids and their surfaces
• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Near-degeneracy of several pairing channels in multiorbital models for the Fe-pnictides
• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• A superconducting praseodymium nickelate with infinite layer structure
• Nickelate superconductivity without rare-earth magnetism: (La,Sr)NiO${}_2$
• 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
• Superconductivity in pressurized trilayer La${}_4$Ni${}_3$O${}_{10-\delta }$ single crystals
• Visualization of Oxygen Vacancies and Self-doped Ligand Holes in La3Ni2O7-δ
• Superconductivity in infinite-layer nickelate La${}_{1-x}$Ca${}_x$NiO${}_2$ thin films
• 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
• 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${}_7$
• Evidence for charge and spin order in single crystals of La${}_3$Ni${}_2$O${}_7$ and La${}_3$Ni${}_2$O${}_6$
• 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
• Signature of superconductivity in pressurized La${}_4$Ni${}_3$O${}_{10}$
• 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${}_7$
• High-$T_c$ superconductivity by mobilizing local spin singlets and possible route to higher $T_c$ in pressurized La${}_3$Ni${}_2$O${}_7$
• Electronic correlations and partial gap in the bilayer nickelate 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
• Structure responsible for the superconducting state in La3Ni2O7 at high pressure and low temperature conditions
• 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
• Polymorphism in Ruddlesden-Popper $L{a}_{3}N{i}_2{O}_7$: Discovery of a Hidden Phase with Distinctive Layer Stacking
• Pairing symmetry in a two-orbital Hubbard model on a square lattice
• 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
• High-T${}_C$ superconductivity in $\mathrm{L}{\mathrm{a}}_3\mathrm{N}{\mathrm{i}}_2{\mathrm{O}}_7$ based on the bilayer two-orbital t-J model
• Unconventional crystal structure of the high-pressure superconductor La${}_3$Ni${}_2$O${}_7$
• Pressure Driven Fractionalization of Ionic Spins Results in Cupratelike High-$T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Superconductivity in nickelate and cuprate superconductors with strong bilayer coupling
• 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
• Long-Range Structural Order in a Hidden Phase of Ruddlesden-Popper Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$
• Competing d${}_{xy}$ and s${}_{\pm }$ Pairing Symmetries in Superconducting La${}_3$Ni${}_2$O${}_7$ emerge from LDA+FLEX Calculations
• Structural transition, electric transport, and electronic structures in the compressed trilayer nickelate La4Ni3O10
• Quenched pair breaking by interlayer correlations as a key to superconductivity in La${}_3$Ni${}_2$O${}_7$
• Multiband Metallic Ground State in Multilayered Nickelates La${}_3$Ni${}_2$O${}_7$ and La${}_4$Ni${}_3$O${}_{10}$ Probed by ${}^{139}$La-NMR at Ambient Pressure
• Possible Triplet $p+ip$ Superconductivity in Graphene at Low Filling
• Pair correlations in the two-orbital Hubbard ladder: Implications on superconductivity in the bilayer nickelate La${}_3$Ni${}_2$O${}_7$
• Hund electronic correlation in La${}_3$Ni${}_2$O${}_7$ under high pressure
• Effective model and $s_{\pm }$-wave superconductivity in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$
• Strong Pairing Originated from an Emergent ${\mathbb{Z}}_2$ Berry Phase in La${}_3$Ni${}_2$O${}_7$
• Prediction of $s^{\pm }$-wave superconductivity enhanced by electronic doping in trilayer nickelates La${}_4$Ni${}_3$O${}_{10}$ under pressure
• Structural routes to stabilise superconducting La${}_3$Ni${}_2$O${}_7$ at ambient pressure
• Theory of magnetic excitations in multilayer nickelate superconductor La${}_3$Ni${}_2$O${}_7$
• Electronic structure, magnetic correlations, and superconducting pairing in the reduced Ruddlesden-Popper bilayer La${}_3$Ni${}_2$O${}_6$ under pressure: different role of $d_{3z^2-r^2}$ orbital compared with La${}_3$Ni${}_2$O${}_7$
• Trilayer multi-orbital models of $\mathrm{L}{\mathrm{a}}_4\mathrm{N}{\mathrm{i}}_3{\mathrm{O}}_{10}$
• Non-Fermi Liquid and Hund Correlation in La${}_4$Ni${}_3$O${}_{10}$ under High Pressure
• Orbital-selective Superconductivity in the Pressurized Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$: An Infinite Projected Entangled-Pair State Study
• Absence of phonon-mediated superconductivity in La${}_3$Ni${}_2$O${}_7$ under pressure
• Effect of Rare-earth Element Substitution in Superconducting R${}_3$Ni${}_2$O${}_7$ Under Pressure
• Electronic structure and magnetic tendencies of trilayer La${}_4$Ni${}_3$O${}_{10}$ under pressure: structural transition, molecular orbitals, and layer differentiation
• Antiferromagnetic Ground State, Charge Density Waves and Oxygen Vacancies Induced Metal-Insulator Transition in Pressurized La${}_3$Ni${}_2$O${}_7$
• Pair correlations of the hybridized orbitals in a ladder model for the bilayer nickelate La${}_3$Ni${}_2$O${}_7$
• Electronic instability, layer selectivity and Fermi arcs in La${}_3$Ni${}_2$O${}_7$
• Electronic structure and magnetic correlations in trilayer nickelate superconductor La${}_4$Ni${}_3$O${}_{10}$ under pressure
• Electronic properties of nickelate superconductor R3Ni2O7 with oxygen vacancies
• Effective model and electron correlations in trilayer nickelate superconductor La${}_4$Ni${}_3$O${}_{10}$
• Lifshitz transition enhanced triplet $p_z$-wave superconductivity in hydrogen doped KCr${}_3$As${}_3$

Cited by in corpus (23)

• 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${}_7$
• Origin of the density wave instability in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$ revealed by optical and ultrafast spectroscopy
• Electronic structure of Ruddlesden-Popper nickelates: strain to mimic the effects pressure
• Band Structure and Pairing Nature of La${}_3$Ni${}_2$O${}_7$ Thin Film at Ambient Pressure
• Collapse of density wave and emergence of superconductivity in pressurized-La${}_4$Ni${}_3$O${}_{10}$ evidenced by ultrafast spectroscopy
• Spin-density wave and superconductivity in La${}_4$Ni${}_3$O${}_{10}$ under ambient pressure
• Impact of Pressure and Apical Oxygen Vacancies on Superconductivity in La${}_3$Ni${}_2$O${}_7$
• DFT+DMFT study of correlated electronic structure in the monolayer-trilayer phase of La${}_3$Ni${}_2$O${}_7$
• Superconductivity in La${}_4$Ni${}_3$O${}_{10}$ Under Pressure
• Origin of the Diagonal Double-Stripe Spin-Density-Wave and Potential Superconductivity in Bulk La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• Strain-Engineered Electronic Structure and Superconductivity in La${}_3$Ni${}_2$O${}_7$ Thin Films
• Superconductivity governed by Janus-faced fermiology in strained bilayer nickelates
• 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
• General trends of electronic structures, superconducting pairing, and magnetic correlations in the Ruddlesden-Popper nickelate $m$-layered superconductors La${}_{m+1}$Ni${}_m$O${}_{3m+1}$
• Topotactical Hydrogen Induced Single-Band $d$-wave Superconductivity in La${}_2$NiO${}_4$
• Pairing mechanism and superconductivity in pressurized La${}_5$Ni${}_3$O${}_{11}$
• Distinct orbital contributions to electronic and magnetic structures in La${}_4$Ni${}_3$O${}_{10}$
• Multiorbital character of the density wave in trilayer nickelate superconductors
• Structural stability, electronic structure, and magnetic properties of the single-layer trilayer La3Ni2O7 polymorph
• Pairing mechanism and superconductivity in 1313 phase La${}_3$Ni${}_2$O${}_7$
• Layer-Resolved Impurity States Reveal Competing Pairing Mechanisms in Trilayer Nickelate Superconductor La${}_4$Ni${}_3$O${}_{10}$
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$