Decomposition of multilayer superconductivity with interlayer pairing

Abstract

We prove that multilayer superconductivity with interlayer pairing may naturally decompose into a series of weakly-coupled bilayer and trilayer superconducting blocks in order to minimize its total free energy. Our work is motivated by the recent proposal of interlayer pairing induced by the interlayer superexchange interaction of nearly half-filled $d_{z^2}$ orbitals in the bilayer and trilayer nickelate superconductors. We explore general properties of interlayer pairing superconductivity and perform systematic Ginzburg-Landau analyses of an effective multilayer model. For real materials, our results imply strong superconducting order parameter modulation and short coherence length along the $z$-axis (perpendicular to the layers). This reveals a unique feature of multilayer superconductivity with interlayer pairing and provides a basic framework for future experimental and theoretical investigations.

8 pages, 3 figures

References in corpus (33)

• A Common Thread: the pairing interaction for the unconventional superconductors
• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Intense paramagnon excitations in a large family of high-temperature superconductors
• 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
• 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
• 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
• 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${}_7$
• 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${}_7$
• Flat bands promoted by Hund's rule coupling in the candidate double-layer high-temperature superconductor La${}_3$Ni${}_2$O${}_7$
• Correlation Effects and Concomitant Two-Orbital $s_{\pm }$-Wave Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure
• Normal and superconducting properties of 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
• 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
• Competing d${}_{xy}$ and s${}_{\pm }$ Pairing Symmetries in Superconducting La${}_3$Ni${}_2$O${}_7$ emerge from LDA+FLEX Calculations
• Finite energy spin fluctuation as a pairing glue in systems with coexisting electron and hole bands
• Epitaxial growth and electronic structure of Ruddlesden-Popper nickelates (${\mathrm{La}}_{n+1}{\mathrm{Ni}}_n{\mathrm{O}}_{3n+1},n=1-5$)
• Orbital-selective Superconductivity in the Pressurized Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$: An Infinite Projected Entangled-Pair State Study
• Trilayer multi-orbital models of $\mathrm{L}{\mathrm{a}}_4\mathrm{N}{\mathrm{i}}_3{\mathrm{O}}_{10}$
• Magnetism and superconductivity in the $t-J$ model of $L{a}_{3}N{i}_2{O}_7$ under multiband Gutzwiller approximation
• Effective model and electron correlations in trilayer nickelate superconductor La${}_4$Ni${}_3$O${}_{10}$

Cited by in corpus (13)

• Band Structure and Pairing Nature of La${}_3$Ni${}_2$O${}_7$ Thin Film at Ambient Pressure
• 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${}_7$
• 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
• 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
• Origin of the Diagonal Double-Stripe Spin-Density-Wave and Potential Superconductivity in Bulk La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• 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
• Spin excitations in bilayer La${}_3$Ni${}_2$O${}_7$ superconductors with the interlayer pairing
• General trends of electronic structures, superconducting pairing, and magnetic correlations in the Ruddlesden-Popper nickelate $m$-layered superconductors La${}_{m+1}$Ni${}_m$O${}_{3m+1}$
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$