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Evolution from intralayer to interlayer superconductivity in a bilayer t-J model
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Evolution from intralayer to interlayer superconductivity in a bilayer t-J model
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Motivated by the bilayer cuprate superconductors and nickelate superconductor La$_3$Ni$_2$O$_7$, we investigate the evolution from intralayer to interlayer superconductivity based on a bilayer two-leg $t$-$J$-$J_{\bot}$ model, where $t$ is the in-plane electron hopping, $J$ is the in-plane spin interaction, and $J_{\bot}$ is the inter-plane spin interaction. By means of the density matrix renormalization group calculations, we obtain the quantum phase diagram of the system by tuning $J_{\bot}$ in a large doping range $\delta = 1/8 - 1/2$. We find that a large $J_{\bot}$ can always drive an interlayer superconductivity by coupling the two layers in both the Luther-Emery liquid and Luttinger liquid states. By coupling two Luther-Emery liquid states, the in-plane superconductivity evolves to inter-plane superconductivity either through an intermediate charge density wave (CDW) phase or directly, depending on doping ratio. This emergent CDW phase, which exists over a finite doping range, appears to develop from the CDW state of the two-leg ladder at $\delta = 1/4$. By coupling two Luttinger liquids, the in-plane Luttinger liquids show a transition to the inter-plane superconducting phase at large $J_{\bot}$, as reported in previous literature. Interestingly, in the intermediate $J_{\bot}$ regime we find that while the in-plane Luttinger-liquid features remain stable, the inter-plane superconductivity can develop an enhanced quasi-long-range order with the power exponent $K^{zz}_{\rm SC} \sim 1$. At last, we show that the interlayer superconductivity is also stable by coupling the bilayer three-leg $t$-$J$ ladders by a strong $J_{\bot}$ interaction, from both the Luther-Emery liquid and Luttinger-liquid states.
Forward citations
Cited by 6 Pith papers
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Superconductivity in doped spin multimer systems
Hole-doped spin multimer systems mapped to hardcore boson model exhibit superconductivity signatures; DMRG on double Kondo lattice shows pairing persists via crossover and pair correlations become independent of local...
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Filling and Interlayer Superexchange Control Superconductivity in La$_3$Ni$_2$O$_7$
A d_x2-y2 orbital bilayer t-J model with first-principles parameters unifies experimental Tc controls in La3Ni2O7 via particle-hole asymmetry and J_perp dependence, proposing electron doping to enhance Tc.
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Filling and Interlayer Superexchange Control Superconductivity in La$_3$Ni$_2$O$_7$
The superconducting T_c of La3Ni2O7 is controlled by the d_x2-y2 orbital filling and the interlayer magnetic exchange J_perp, so clean electron doping should raise T_c.
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Superconductivity in doped spin multimer systems
Hole-doped spin multimer systems exhibit superconductivity signatures when mapped to the hardcore boson model in the strong-binding-energy limit, with pairing persisting in DMRG simulations of the double Kondo lattice.
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Filling and Interlayer Superexchange Control Superconductivity in La$_3$Ni$_2$O$_7$
The d_x2-y2 bilayer t-J model unifies Tc control in La3Ni2O7 via particle-hole asymmetry under doping and dependence on the perpendicular exchange J_perp.
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Superconductivity in bilayer La$_3$Ni$_2$O$_7$: A review focusing on the strong-coupling Hund's rule assisted pairing mechanism
Superconductivity in La3Ni2O7 arises from interlayer Cooper pairs of 3d_x2-y2 electrons driven by effective J_perp from Hund-assisted AFM exchange transfer, while localized 3d_z2 electrons form rung singlets that prod...
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