论文标题
通过Witten的共轭之间的无挫败模型之间的相互关系
Interrelations among frustration-free models via Witten's conjugation
论文作者
论文摘要
我们应用Witten的共轭论点[Nucl。物理。 b 202，253（1982）]旋转链，它使我们能够从已知结果中得出无挫败感的系统及其确切的基态。我们特别关注$ \ Mathbb {z} _p $ - 对称模型，而Kitaev和Peschel-轴向轴向下一个最邻近的Ising（Annni）链的Emery Line是最简单的示例。该方法使我们能够对待两个$ \ mathbb {z} _3 $ -Invariant无挫败parafermion链，该链条最近由Iemini等人衍生而成。 [物理。莱特牧师。 118，170402（2017）]和Mahyaeh和Ardonne [Phys。 Rev. B 98，245104（2018）]在统一框架中。我们得出了其他几种无挫败模型及其确切的基础状态，包括$ \ mathbb {z} _4 $ - 和$ \ Mathbb {z} _6 $ - symmore-Symmemetric Preemertric ni annni链。
We apply Witten's conjugation argument [Nucl. Phys. B 202, 253 (1982)] to spin chains, where it allows us to derive frustration-free systems and their exact ground states from known results. We particularly focus on $\mathbb{Z}_p$-symmetric models, with the Kitaev and Peschel--Emery line of the axial next-nearest neighbour Ising (ANNNI) chain being the simplest examples. The approach allows us to treat two $\mathbb{Z}_3$-invariant frustration-free parafermion chains, recently derived by Iemini et al. [Phys. Rev. Lett. 118, 170402 (2017)] and Mahyaeh and Ardonne [Phys. Rev. B 98, 245104 (2018)], respectively, in a unified framework. We derive several other frustration-free models and their exact ground states, including $\mathbb{Z}_4$- and $\mathbb{Z}_6$-symmetric generalisations of the frustration-free ANNNI chain.
