Kinetic obstruction to pairing in the doped Kitaev-Heisenberg ladder
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918384493395968 |
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| author | Pandey, Bradraj Xiao, Bo Okamoto, Satoshi Alvarez, Gonzalo Halász, Gábor B. Dagotto, Elbio Laurell, Pontus |
| author_facet | Pandey, Bradraj Xiao, Bo Okamoto, Satoshi Alvarez, Gonzalo Halász, Gábor B. Dagotto, Elbio Laurell, Pontus |
| contents | We investigate the hole-doped Kitaev-Heisenberg ($t$-$J$-$K$) model on a two-leg ladder geometry using the density-matrix renormalization group (DMRG). We first consider the behavior of the antiferromagnetic Kitaev (AFK) spin-liquid phase as a function of hopping strength $t$ and doping level. This reveals intriguing pairing tendencies only for $\frac{t}{K} \lesssim 0.65$, consistent with prior results on three-leg ladders, and firmly supports the emerging picture that the physics of doped Kitaev spin liquids strongly depends on the kinetic energy of the doped holes. Analysis of one- and two-hole doping uncovers close links between the spatial profiles of the plaquette operator and the charge density. We construct a doping-dependent phase diagram for antiferromagnetic Heisenberg interactions and intermediate hopping $t=1$. Upon doping, the rung-singlet region develops dominant superconducting correlations. Charge-density-wave correlations dominate at weak doping near the transition to the stripy phase. Spin-density wave-like behavior is found in the AFK and ferromagnetic Kitaev limits, and in the stripy phase. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_12198 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kinetic obstruction to pairing in the doped Kitaev-Heisenberg ladder Pandey, Bradraj Xiao, Bo Okamoto, Satoshi Alvarez, Gonzalo Halász, Gábor B. Dagotto, Elbio Laurell, Pontus Strongly Correlated Electrons Superconductivity We investigate the hole-doped Kitaev-Heisenberg ($t$-$J$-$K$) model on a two-leg ladder geometry using the density-matrix renormalization group (DMRG). We first consider the behavior of the antiferromagnetic Kitaev (AFK) spin-liquid phase as a function of hopping strength $t$ and doping level. This reveals intriguing pairing tendencies only for $\frac{t}{K} \lesssim 0.65$, consistent with prior results on three-leg ladders, and firmly supports the emerging picture that the physics of doped Kitaev spin liquids strongly depends on the kinetic energy of the doped holes. Analysis of one- and two-hole doping uncovers close links between the spatial profiles of the plaquette operator and the charge density. We construct a doping-dependent phase diagram for antiferromagnetic Heisenberg interactions and intermediate hopping $t=1$. Upon doping, the rung-singlet region develops dominant superconducting correlations. Charge-density-wave correlations dominate at weak doping near the transition to the stripy phase. Spin-density wave-like behavior is found in the AFK and ferromagnetic Kitaev limits, and in the stripy phase. |
| title | Kinetic obstruction to pairing in the doped Kitaev-Heisenberg ladder |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2603.12198 |