Weak coupling theory of nickel-based 327 superconductors

Abstract

This review provides a comprehensive survey of weak-coupling theoretical approaches applied to understand the emergent superconductivity in the pressurized nickelate bilayer system $L{a}_{3}N{i}_2{O}_7$. Following the landmark discovery of its high-Tc superconductivity under pressure, this material has rapidly become a new paradigmatic platform in the field of unconventional superconductivity, joining cuprates and iron-based systems. We focus on three pivotal theoretical frameworks: the random phase approximation (RPA), the fluctuation-exchange approximation (FLEX), and the functional renormalization group (FRG). These methods are deployed to analyze the effective pairing interactions and emergent instabilities arising from the low-energy electronic structure, which is commonly modeled by a bilayer two-orbital Hubbard Hamiltonian incorporating the Ni $d_{x^2-y^2}$ and $d_{3z^2-r^2}$ orbitals.

References in corpus (54)

• Exact evolution equation for the effective potential
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• A Common Thread: the pairing interaction for the unconventional superconductors
• Entanglement renormalization
• The Exact Renormalisation Group and Approximate Solutions
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Near-degeneracy of several pairing channels in multiorbital models for the Fe-pnictides
• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Functional renormalization group approach to correlated fermion systems
• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• Tensor renormalization group approach to 2D classical lattice models
• d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
• Funtional Renormalization Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs Based High Temperature Superconductors
• A Numerical Renormalization Group Study of the Superconducting and Spin Density Wave Instabilities in MFeAsO${}_{1-x}$F${}_x$ Compounds
• Coarse-graining renormalization by higher-order singular value decomposition
• Tensor Network Renormalization
• A Phenomenological Theory of The Pseudogap State
• Renormalization group analysis of the 2D Hubbard model
• Second Renormalization of Tensor-Network States
• Theory of Superconductivity in Strongly Correlated Electron Systems
• Orbital-Dependent Electron Correlation in Double-Layer Nickelate La3Ni2O7
• 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
• Ambient-pressure superconductivity onset above 40 K in bilayer nickelate ultrathin films
• Structural phase transition, $s_{\pm }$-wave pairing and magnetic stripe order in the bilayered nickelate superconductor La${}_3$Ni${}_2$O${}_7$ under pressure
• Spin Fluctuations, Interband Coupling, and Unconventional Pairing in Iron-based Superconductors
• Antiferromagnetically Driven Electronic Correlation in Iron Pnictides and Cuprates
• High Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$
• 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
• Weakly correlated electrons on a square lattice: a renormalization group theory
• Superconductivity in nickelate and cuprate superconductors with strong bilayer coupling
• Finite energy spin fluctuation as a pairing glue in systems with coexisting electron and hole bands
• Coexistence of incommensurate magnetism and superconductivity in the two-dimensional Hubbard model
• Pairing in the iron arsenides: a functional RG treatment
• Antiferromagnetic Correlation and the Pairing Mechanism of the Cuprates and Iron Pnictides : a View From the Functional Renormalization Group Studies
• Angle-resolved photoemission spectroscopy of superconducting (La,Pr)3Ni2O7/SrLaAlO4 heterostructures
• Doping dependence of spin fluctuations and electron correlations in iron pnictides
• Electronic Correlation and Pseudogap-like Behavior of High-Temperature Superconductor La3Ni2O7
• Time reversal invariant topological superconductivity in correlated non-centrosymmetric systems
• Correlated electronic structures and unconventional superconductivity in bilayer nickelate heterostructures
• Topological photonic alloy
• Magnetism and superconductivity in the $t-J$ model of $L{a}_{3}N{i}_2{O}_7$ under multiband Gutzwiller approximation
• Functional renormalization group study of the pairing symmetry and pairing mechanism in iron-selenide superconductors
• A link between the spin fluctuation and Fermi surface in high T_C cuprates --- A consistent description within the single-band Hubbard model
• Magnetic phase diagram of a two-orbital model for bilayer nickelates varying doping
• Intrinsically Interacting Higher-Order Topological Superconductors
• Anatomy of topological Anderson transitions
• Out-of-plane bond-order phase, superconductivity, and their competition in the $t$-$J_{\parallel }$-$J_{\perp }$ model: Possible implications for bilayer nickelates
• Exciton and light induced ferromagnetism from doping a moiré Mott insulator
• Emergence of biconnected clusters in explosive percolation
• Retrieving maximum information of symmetric states from their corrupted copies
• Discontinuous phase transition of feature detection in lateral predictive coding
• Scalarized neutron stars with a highly relativistic core in scalar-tensor gravity