Summary
This paper employs the density matrix renormalization group method to study the ground-state properties of a three-leg t-J ladder with strong interchain coupling near 1/3 filling. When holes are doped into the spin-gapped state at 1/3 filling, the pairing correlation function exhibits power-law decay while the spin correlation function decays exponentially; in contrast, electron doping does not significantly enhance pairing correlations. Further comparison with the three-leg Hubbard model shows that the pairing correlation properties of the hole-doped state are similar to those of the t-J model, but require a sufficiently large spin gap. The study indicates that hole doping near 1/3 filling favors superconducting pairing, and this asymmetric pairing property differs from the phase diagram predicted by weak-coupling theory, providing numerical evidence for understanding the electronic properties of tri-layer nickelate superconductors.
Materials
- three-leg t-J ladder model
- three-leg Hubbard model
Methods
Keywords
- pairing correlation
- spin gap
- hole doping
- 1/3 filling
- luther emery liquid
Highlights
- Asymmetric pairing nature across the 1/3 filling line in the t-J model differs from weak-coupling theory predictions.
- Provides numerical evidence for understanding electronic properties of trilayer nickelate superconductors.
Conclusions
- Hole doping into the spin-gapped state at 1/3 filling leads to power-law decay of pair correlations and exponential decay of spin correlations, indicating a pairing favorable state.
- Electron doping does not significantly enhance pair correlations.
- The pairing properties of the hole-doped state in the Hubbard model require a sufficiently large spin gap.
Main claims
- When holes are doped into the spin-gapped state at 1/3 filling, pair correlations exhibit power-law decay while spin correlations decay exponentially.
- Evidence: When holes are doped into the spin-gapped state at 1/3 filling, the pairing correlation function exhibits power-law decay while the spin correlation function decays exponentially
- Electron doping does not give rise to substantial pair correlations.
- Evidence: in contrast, electron doping does not significantly enhance pairing correlations
- The hole-doped state near 1/3 filling is suitable for the emergence of superconductivity, and this asymmetric pairing nature differs from weak-coupling predictions.
- Evidence: The study indicates that hole doping near 1/3 filling favors superconducting pairing, and this asymmetric pairing property differs from the phase diagram predicted by weak-coupling theory
Workflow
- model definition — At1/3 filling with strong interchain couplings, the system has a spin gap and short-range spin correlations.
- Materials: three-leg t-J ladder
- Methods: density matrix renormalization group (DMRG)
- Observations: spin-gapped state at 1/3 filling
- hole doping analysis — Hole doping near 1/3 filling induces superconducting pairing with power-law decay.
- Materials: three-leg t-J ladder with holes
- Methods: DMRG calculation of pair and spin correlation functions
- Observations: pair correlations show power-law decay; spin correlations decay exponentially
- electron doping analysis — Electron doping does not significantly enhance pairing correlations.
- Materials: three-leg t-J ladder with electrons
- Methods: DMRG
- Observations: pair correlations do not develop substantially; spin correlations become more long-ranged
- comparison with Hubbard model — The pairing properties in the Hubbard model require a sufficiently large spin gap to develop, similar to the t-J model.
- Materials: three-leg Hubbard ladder
- Methods: DMRG
- Observations: pair correlations in Hubbard model are comparable to t-J model only when spin gap is sufficiently large