Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
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发表时间：
2022-12
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通讯作者：
Matthias Gohlke;Jose Carlos Pelayo;Takafumi Suzuki
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作者：
Matthias Gohlke;Jose Carlos Pelayo;Takafumi Suzuki
近年来，Kitaev 材料中量子自旋液相的表征一直是理论和实验上深入研究的主题。大多数理论研究都集中在各向同性相互作用模型上，其耦合强度在每个键上相等，以试图简化问题。在这里，我们研究了蜂窝晶格上的扩展自旋 1/2 Kitaev-$\Gamma$ 模型，并具有控制其中一个键上的耦合强度的附加调整参数：我们连接了孤立的 Kitaev-$\Gamma$ 链的极限，已知该链表现出新兴的 $SU(2)_1$ Tomonaga-Luttinger 液相 [Yang 等人，2017]。物理。莱特牧师。 {\bf 124}, 147205 (2020)]，到二维模型。我们报告了一个实例，其中 Tomonaga-Luttinger 液体持续存在有限的链间耦合。量子自旋液相的发展类似于与基塔耶夫自旋液体不同的\emph{滑动路廷格液体}。这种量子自旋液相具有类似于反铁磁海森堡链的自旋子激发。我们以互补的方式在各种簇几何结构上使用数值精确对角化和密度矩阵重整化群来克服有限尺寸的限制。
The characterization of quantum spin liquid phases in Kitaev materials has been a subject of intensive studies over the recent years, both theoretically and experimentally. Most theoretical studies have focused on an isotropically interacting model with its coupling strength being equivalent on each bond in an attempt to simplify the problem. Here, we study an extended spin-1/2 Kitaev-$\Gamma$ model on a honeycomb lattice with an additional tuning parameter that controls the coupling strength on one of the bonds: we connect the limit of isolated Kitaev-$\Gamma$ chains, which is known to exhibit an emergent $SU(2)_1$ Tomonaga-Luttinger liquid phase [Yang et al. Phys. Rev. Lett. {\bf 124}, 147205 (2020)], to the two-dimensional model. We report on an instance, in which the Tomonaga-Luttinger liquid persists for finite inter-chain coupling. A quantum spin liquid phase develops in analogy to \emph{sliding Luttinger liquids} that differs from the Kitaev spin liquid. This quantum spin liquid phase features spinon-like excitations similar to those of the antiferromatnetic Heisenberg chain. We use numerical Exact Diagonalization and Density Matrix Renormalization Group on various cluster geometries in a complementary way to overcome finite-size limitations.