标题： 自旋-1双线性-双二次-Kitaev链中的量子临界性和涌现序 显示英文标题

标题： Quantum criticality and emergent orders in the spin-1 bilinear-biquadratic-Kitaev chain

摘要： 高自旋量子磁体由于其扩大的局部希尔伯特空间和多极相关性的出现，提供了超越自旋-1/2系统的量子相的丰富平台，这是由于它们的竞争相互作用。 我们研究了一维自旋-1链，其中四极序由两种不同的机制促进：传统的双线性-双二次交换和键方向反铁磁Kitaev挫败。 使用密度矩阵重整化群计算，我们确定了完整的基态相图，并揭示了由Kitaev相互作用引起的两个新兴相：Kitaev向列相和Kitaev二聚相。 Kitaev向列相通过伊辛普适类中的连续量子相变从脆弱的双二次二聚态中产生。 Kitaev二聚相自发地破坏螺旋对称性，以偏好$x$或$y$自旋键合，形成与交替$\mathbb{Z}_2$通量晶体序共存的能隙状态。 显示英文摘要

摘要： Higher-spin quantum magnets with competing interactions offer a rich platform for exploring quantum phases that transcend the paradigms of spin-1/2 systems, owing to their enlarged local Hilbert spaces and the emergence of multipolar correlations. We investigate a one-dimensional spin-1 chain where quadrupolar order is promoted by two distinct mechanisms: conventional bilinear-biquadratic exchange and bond-directional antiferromagnetic Kitaev frustration. Using density matrix renormalization group calculations, we determine the complete ground-state phase diagram and uncover two emergent phases induced by the Kitaev interaction: a Kitaev nematic phase and a Kitaev-dimer phase. The Kitaev nematic phase emerges from a fragile biquadratic dimer state via a continuous quantum phase transition in the Ising universality class. The Kitaev dimer phase spontaneously breaks a screw symmetry to favor either $x$- or $y$-spin bonding, forming a gapped state that coexists with a crystalline order of alternating $\mathbb{Z}_2$ fluxes.