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Luther-Emery liquid and dominant singlet superconductivity in the hole-doped Haldane spin-1 chain
Strongly Correlated Electrons · Submitted 22 Nov 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim For $U=1.6$ in units of the non-interacting bandwidth and for $J_\mathrm{H}/U\gtrsim 0.275$ we find that singlet pairing dominates the long-distance physics, establishing this system as a promising platform for repulsively mediated superconductivity.
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We investigate the pairing tendencies in the hole-doped Haldane spin-1 chain. To allow for doping, we extend the original spin chain Hamiltonian into a fermionic model involving a two-orbital Hubbard chain at intermediate or strong repulsive interaction strengths $U$, and for degenerate orbitals. At half-filling and large $U$, the ferromagnetic Hund's coupling, $J_\mathrm{H}$, generates effective spin-$1$ moments, with antiferromagnetic correlations between sites. Using large-scale density matrix renormalization group calculations, we study accurately the system's behavior under light hole-doping. For $U=1.6$ in units of the non-interacting bandwidth and for $J_\mathrm{H}/U\gtrsim 0.275$ we find that singlet pairing dominates the long-distance physics, establishing this system as a promising platform for repulsively mediated superconductivity. We provide concrete examples of materials that could realize the physics described here. We also provide evidence that the system approaches a Luther-Emery liquid state at large system sizes, reminiscent of the behavior of doped one-orbital two-leg ladders at weak coupling, which also have superconducting tendencies. The numerically calculated central charge approaches one in the thermodynamic limit, indicating a single gapless mode as is expected for the Luther-Emery state. Exponents characterizing the power-law decays of singlet pair-pair and charge density-density correlations are determined, and found to approximately satisfy the Luther-Emery identity.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate the pairing tendencies in the hole-doped Haldane spin-1 chain. | contribution 0.96 | 0.89 | 0.03 | unclear 0.78 |
| s1 | To allow for doping, we extend the original spin chain Hamiltonian into a fermionic model involving a two-orbital Hubbard chain at intermediate or strong repulsive interaction strengths $U$, and for degenerate orbitals. | method 0.98 | 0.85 | 0.02 | asserted 0.91 |
| s2 | At half-filling and large $U$, the ferromagnetic Hund's coupling, $J_\mathrm{H}$, generates effective spin-$1$ moments, with antiferromagnetic correlations between sites. | method 0.50 | 0.25 | 0.02 | asserted 1.00 |
| s3 | Using large-scale density matrix renormalization group calculations, we study accurately the system's behavior under light hole-doping. | method 0.89 | 0.95 | 0.02 | asserted 0.98 |
| s4 | For $U=1.6$ in units of the non-interacting bandwidth and for $J_\mathrm{H}/U\gtrsim 0.275$ we find that singlet pairing dominates the long-distance physics, establishing this system as a promising platform for repulsively mediated superconductivity. | result 0.98 | 0.97 | 0.86 | asserted 1.00 |
| s5 | We provide concrete examples of materials that could realize the physics described here. | contribution 0.95 | 0.84 | 0.03 | hedged possibility 0.50 |
| s6 | We also provide evidence that the system approaches a Luther-Emery liquid state at large system sizes, reminiscent of the behavior of doped one-orbital two-leg ladders at weak coupling, which also have superconducting tendencies. | result 0.74 | 0.92 | 0.10 | asserted 0.70 |
| s7 | The numerically calculated central charge approaches one in the thermodynamic limit, indicating a single gapless mode as is expected for the Luther-Emery state. | result 0.79 | 0.95 | 0.07 | hedged possibility 0.63 |
| s8 | Exponents characterizing the power-law decays of singlet pair-pair and charge density-density correlations are determined, and found to approximately satisfy the Luther-Emery identity. | result 0.98 | 0.96 | 0.07 | asserted 0.91 |
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Original abstract
We investigate the pairing tendencies in the hole-doped Haldane spin-1 chain. To allow for doping, we extend the original spin chain Hamiltonian into a fermionic model involving a two-orbital Hubbard chain at intermediate or strong repulsive interaction strengths $U$, and for degenerate orbitals. At half-filling and large $U$, the ferromagnetic Hund's coupling, $J_\mathrm{H}$, generates effective spin-$1$ moments, with antiferromagnetic correlations between sites. Using large-scale density matrix renormalization group calculations, we study accurately the system's behavior under light hole-doping. For $U=1.6$ in units of the non-interacting bandwidth and for $J_\mathrm{H}/U\gtrsim 0.275$ we find that singlet pairing dominates the long-distance physics, establishing this system as a promising platform for repulsively mediated superconductivity. We provide concrete examples of materials that could realize the physics described here. We also provide evidence that the system approaches a Luther-Emery liquid state at large system sizes, reminiscent of the behavior of doped one-orbital two-leg ladders at weak coupling, which also have superconducting tendencies. The numerically calculated central charge approaches one in the thermodynamic limit, indicating a single gapless mode as is expected for the Luther-Emery state. Exponents characterizing the power-law decays of singlet pair-pair and charge density-density correlations are determined, and found to approximately satisfy the Luther-Emery identity.
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