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Energy bonds as correlators for long-range symmetry-protected topological models and models with long-range topological order

机译：能源键作为远程对称保护拓扑模型和具有远程拓扑秩序的模型的相关器

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摘要

Topological properties are associated with nonlocal entanglement and global properties. On the other hand, in some topological systems, it has been shown that quasilocal operators detect topological transitions. We show in this work that in the case of noninteracting long-range symmetry-protected topological models, energy bonds signal topological transitions. Interestingly, we also rind that they display some signatures at the Berezinskii-Kosterlitz-Thouless transition that occurs in a spin chain with first and second neighbor interactions, if we consider the first excited state instead of the ground state of the system. Moreover, we show that the ground-state topological transition in the spin Kitaev model in a honeycomb lattice, which displays topological long-range order, is also detected by the energy bond correlator. Despite the model being interacting, in the ground state it reduces to a noninteracting model. Even for the spin-liquid phase of the two-dimensional Heisen-berg model with first and second neighbor interactions, where the system has true long-range entanglement and topological order, the local bonds do signal the topological phase transition.
机译：拓扑属性与非本体纠缠和全局性质有关。另一方面，在某些拓扑系统中，已经证明了QuasiLocal运营商检测拓扑过渡。我们在这项工作中展示了在非交互式远程对称保护拓扑模型的情况下，能量键的信号拓扑过渡。有趣的是，如果我们考虑第一个激励状态而不是系统的地面，它们也会在Berzinskii-Kosterlitz-Thousless转换中显示出在旋转链中发生的旋转过渡的签名。此外，我们表明，通过能键相关器还检测到显示拓扑长度顺序的蜂窝状晶格中的旋转Kitaev模型中的地态拓扑转变。尽管模型正在交互，但是在地面状态下它减少到非交互式模型。即使对于具有第一和第二邻接的二维Heisen-Berg模型的旋转液相，即使系统具有真正的远程缠结和拓扑顺序，局部键会发出拓扑相转变。

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  • 来源
    《Physical review》 |2020年第24期|245131.1-245131.7|共7页
  • 作者

    Wing Chi Yu; Chen Cheng; P. D. Sacramento;

  • 作者单位

    Department of Physics City University of Hong Kong Hong Kong;

    School of Physical Science and Technology Lanzhou University Lanzhou 730000 China Beijing Computational Science Research Center Beijing China;

    CeFEMA Instituto Superior Tecnico Universidade de Lisboa Av. Rovisco Pais 1049-001 Lisboa Portugal Beijing Computational Science Research Center Beijing China;

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