Quantum phase transition driven by competing intralayer and interlayer hopping in bilayer nickelates

Abstract

Bilayer nickelates exhibit high-temperature superconductivity under proper hydrostatic pressure or epitaxial strain, signifying the emergence of quantum phase transitions whose physical mechanisms remain unclear. Using a minimal bilayer Hubbard model incorporating only the Ni-$d_{3z^2-r^2}$ orbitals, we demonstrate that a phase transition naturally arises from tuning the ratio of intralayer to interlayer hopping amplitudes. The transition point separates regimes with a rich interplay between superconducting and density-wave orders. In the regime of weaker intralayer hopping, the ground state is characterized by quasi-long-range spin-density-wave order. As the intralayer hopping increases, the system undergoes a transition marked by the opening of a finite spin gap and the disappearance of spin-density-wave order. Meanwhile, superconductivity is dramatically enhanced, accompanied by the emergence of quasi-long-range charge-density-wave order, indicating that the system enters Luther-Emery phase. This quantum phase transition, driven by the competition between intralayer and interlayer hopping, provides a plausible microscopic explanation for the experimentally observed correlation between the superconducting transition temperature and ratio of out-of-plane to in-plane lattice constants. Our findings reveal a possible link between the suppression of spin-density-wave order and the prominence of superconducting order, which may assist future efforts to optimize experimental conditions for further enhancing superconductivity in bilayer nickelates.

10 + 4 pages, 7 + 5 figures

References in corpus (57)

• Entanglement Entropy and Quantum Field Theory
• A Common Thread: the pairing interaction for the unconventional superconductors
• The ITensor Software Library for Tensor Network Calculations
• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Quantum phase transitions
• The Hubbard Model
• Order and quantum phase transitions in the cuprate superconductors
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• 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
• Possible $S_{\pm }$-wave superconductivity in La${}_3$Ni${}_2$O${}_7$
• Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'
• 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
• Parity effects in the scaling of block entanglement in gapless spin chains
• 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
• Evidence for charge and spin order in single crystals of La${}_3$Ni${}_2$O${}_7$ and La${}_3$Ni${}_2$O${}_6$
• Friedel Oscillations and Charge Density Waves in Chains and Ladders
• 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
• Electronic and magnetic excitations in La${}_3$Ni${}_2$O${}_7$
• Antiferromagnetically Driven Electronic Correlation in Iron Pnictides and Cuprates
• 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${}_7$
• 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
• A route to high temperature superconductivity in composite systems
• High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
• Pressure Driven Fractionalization of Ionic Spins Results in Cupratelike High-$T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Band insulator to Mott insulator transition in a bilayer Hubbard model
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Superconductivity in nickelate and cuprate superconductors with strong bilayer coupling
• Pressure-enhanced spin-density-wave transition in double-layer nickelate $L{a}_{3}N{i}_2{O}_{7-\delta }$
• Quantum Phase Transition in the Normal State of High-Tc Cuprates at Optimum Doping
• Pair Correlations in Doped Hubbard Ladders
• Identification of the superconductivity in bilayer nickelate La${}_3$Ni${}_2$O${}_7$ upon 100 GPa
• Making High T${}_c$ Higher: A Theoretical Proposal
• Pair correlations in the two-orbital Hubbard ladder: Implications on superconductivity in the bilayer nickelate La${}_3$Ni${}_2$O${}_7$
• Angle-resolved photoemission spectroscopy of superconducting (La,Pr)3Ni2O7/SrLaAlO4 heterostructures
• Magnetic and Transport Properties of a Coupled Hubbard Bilayer with Electron and Hole Doping
• Strong Pairing Originated from an Emergent ${\mathbb{Z}}_2$ Berry Phase in La${}_3$Ni${}_2$O${}_7$
• High temperature superconductivity in dimer array systems
• Quantum Phase Transitions in a Cuprate Superconductor Bi_{2}Sr_{2-x}La_{x}CuO_{6+δ}
• Density-wave-like gap evolution in La${}_3$Ni${}_2$O${}_7$ under high pressure revealed by ultrafast optical spectroscopy
• Effective pairing interaction in a system with an incipient band
• Correlated electronic structures and unconventional superconductivity in bilayer nickelate heterostructures
• Strain-tuning for superconductivity in La${}_3$Ni${}_2$O${}_7$ thin films
• Superconductivity in the Bilayer Two-orbital Hubbard Model
• Ground-state phase diagram of the extended two-leg $t$-$J$ ladder
• Superconductivity in the doped bilayer Hubbard model
• Strong-coupling study of the pairing mechanism in pressurized La${}_3$Ni${}_2$O${}_7$
• Intertwined charge and spin instability of La${}_3$Ni${}_2$O${}_7$
• Highly asymmetric superconducting dome and strange metallicity in La${}_3$Ni${}_2$O${}_7$
• Strong-coupling high-$T_{\mathrm{c}}$ superconductivity in doped correlated band insulators
• Finite temperature study of correlations in bilayer band-insulator
• Numerical study of bi-layer two-orbital model for La${}_3$Ni${}_2$O${}_7$ on a plaquette ladder