论文标题
Spin-1/2 Kitaev-Heisenberg-Gamma链的相图的综合研究
Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
论文作者
论文摘要
Kitaev材料的一个核心问题是其他耦合对Kitaev模型的影响，该模型被认为是实现拓扑量子计算的候选人。但是，两个空间维度通常会遭受缺乏可控方法的困难。在这项工作中，使用一维中强大的分析和数值方法的组合，我们对SPIN-1/2 KITAEV-HEISENBERG-GAMMA模型的一维版本的相图进行了全面研究。发现具有九个不同阶段的惊人阶段图，包括四个Luttinger液相相，铁磁相，一个néel有序阶段，一个扭曲的刺激性自旋对准的有序阶段以及两个有序阶段，两者都破坏了$ d_3 $ symptry a $ d_3 $对称，尽管以不同的方式，$ d_3 $ d_3 $是d_3 $ corder ofers ofer corder sirdral ofdih dihed dih dih dihed dih eDral sif sif sif sif six s SIX。我们的工作为研究一维吉泰材料铺平了道路，并可能在较高维度的情况下为物理学提供暗示。
A central question on Kitaev materials is the effects of additional couplings on the Kitaev model which is proposed to be a candidate for realizing topological quantum computations. However, two spatial dimension typically suffers the difficulty of lacking controllable approaches. In this work, using a combination of powerful analytical and numerical methods available in one dimension, we perform a comprehensive study on the phase diagram of a one-dimensional version of the spin-1/2 Kitaev-Heisenberg-Gamma model in its full parameter space. A strikingly rich phase diagram is found with nine distinct phases, including four Luttinger liquid phases, a ferromagnetic phase, a Néel ordered phase, an ordered phase of distorted-spiral spin alignments, and two ordered phase which both break a $D_3$ symmetry albeit in different ways, where $D_3$ is the dihedral group of order six. Our work paves the way for studying one-dimensional Kitaev materials and may provide hints to the physics in higher dimensional situations.
