Competing magnetic and topological orders in the spin-1 Kitaev-Heisenberg chain with single-ion anisotropy
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866912787662372864 |
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| author | Reja, Sahinur Nishimoto, Satoshi |
| author_facet | Reja, Sahinur Nishimoto, Satoshi |
| contents | We investigate the ground-state phase diagram of the spin-1 Kitaev--Heisenberg chain in the presence of uniaxial single-ion anisotropy (SIA) $D_z$ by density-matrix renormalization group (DMRG) calculations. By combining energy-curvature diagnostics on periodic $N=24$ clusters with a refined characterization based on order parameters and correlation functions for open chains up to $N=144$, we establish a comprehensive phase diagram in the $ϕ$--$D_z$ plane. We identify four magnetically ordered phases -- FM-$z$, FM-$xy$, Néel-$z$, and a two-sublattice collinear LLRR2 state -- as well as magnetically disordered/critical regimes including Néel-$xy$, LLRR1, and two Kitaev spin-liquid (KSL) regions. A topological Haldane phase also emerges near the Heisenberg limit. Our results provide evidence that both AFM- and FM-KSL regimes acquire finite parameter widths in the spin-1 model, while the Haldane phase is fragile against Kitaev-type anisotropy, particularly for $D_z<0$. Increasing (decreasing) $D_z$ suppresses (enhances) magnetic order and expands (shrinks) the KSL and other magnetically disordered sectors. Also, at $D_z=0$, we identify an exactly solvable point at $ϕ=\tan^{-1}(-2)$, which enforces a first-order transition between Néel-$z$ and LLRR2. We further contrast these findings with the spin-$1/2$ KH chain and with the spin-1 honeycomb KH model, highlighting the distinct roles of dimensionality and SIA in Kitaev-type magnets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20912 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Competing magnetic and topological orders in the spin-1 Kitaev-Heisenberg chain with single-ion anisotropy Reja, Sahinur Nishimoto, Satoshi Strongly Correlated Electrons We investigate the ground-state phase diagram of the spin-1 Kitaev--Heisenberg chain in the presence of uniaxial single-ion anisotropy (SIA) $D_z$ by density-matrix renormalization group (DMRG) calculations. By combining energy-curvature diagnostics on periodic $N=24$ clusters with a refined characterization based on order parameters and correlation functions for open chains up to $N=144$, we establish a comprehensive phase diagram in the $ϕ$--$D_z$ plane. We identify four magnetically ordered phases -- FM-$z$, FM-$xy$, Néel-$z$, and a two-sublattice collinear LLRR2 state -- as well as magnetically disordered/critical regimes including Néel-$xy$, LLRR1, and two Kitaev spin-liquid (KSL) regions. A topological Haldane phase also emerges near the Heisenberg limit. Our results provide evidence that both AFM- and FM-KSL regimes acquire finite parameter widths in the spin-1 model, while the Haldane phase is fragile against Kitaev-type anisotropy, particularly for $D_z<0$. Increasing (decreasing) $D_z$ suppresses (enhances) magnetic order and expands (shrinks) the KSL and other magnetically disordered sectors. Also, at $D_z=0$, we identify an exactly solvable point at $ϕ=\tan^{-1}(-2)$, which enforces a first-order transition between Néel-$z$ and LLRR2. We further contrast these findings with the spin-$1/2$ KH chain and with the spin-1 honeycomb KH model, highlighting the distinct roles of dimensionality and SIA in Kitaev-type magnets. |
| title | Competing magnetic and topological orders in the spin-1 Kitaev-Heisenberg chain with single-ion anisotropy |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2512.20912 |