Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain

Abstract

Recently, it has been proposed that higher-spin analogues of the Kitaev interactions $K>0$ may also occur in a number of materials with strong Hund's and spin-orbit coupling. In this work, we use Lanczos diagonalization and density matrix renormalization group methods to investigate numerically the $S=1$ Kitaev-Heisenberg model. The ground-state phase diagram and quantum phase transitions are investigated by employing local and nonlocal spin correlations. We identified two ordered phases at negative Heisenberg coupling $J<0$: a~ferromagnetic phase with $⟨S_i^z{S}_{i+1}^z⟩>0$ and an intermediate left-left-right-right phase with $⟨S_i^x{S}_{i+1}^x⟩\ne 0$. A~quantum spin liquid is stable near the Kitaev limit, while a topological Haldane phase is found for $J>0$.

6 pages, 4 figures, accepted by Physical Review B

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Cited by in corpus (13)

• Unusual excitations and double-peak specific heat in a bond-alternating spin-$1$ $K$-$\Gamma$ chain
• Quantum Many-Body Scars in Spin-1 Kitaev Chains
• Novel Approach to Unveil Quantum Phase Transitions Using Fidelity Map
• Instabilities of spin-1 Kitaev spin liquid phase in presence of single-ion anisotropies
• Spin dynamics of the generalized quantum spin compass chain
• Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy
• Quantum many-body scars in spin-1 Kitaev chain with uniaxial single-ion anisotropy
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain
• Exploring quantum criticality and ergodicity-breaking dynamics in spin-1 Kitaev chains via single-ion anisotropies
• Quantum criticality and emergent orders in the spin-1 bilinear-biquadratic-Kitaev chain
• Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions
• Exact Fractionalized Ground States in an Extended Spin-1 Kitaev Chain