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首页> 外文期刊>Physical review >Quantum antiferromagnetic Heisenberg half-odd-integer spin model as the entanglement Hamiltonian of the integer-spin Affleck-Kennedy-Lieb-Tasaki states
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Quantum antiferromagnetic Heisenberg half-odd-integer spin model as the entanglement Hamiltonian of the integer-spin Affleck-Kennedy-Lieb-Tasaki states

机译：作为整数自旋Affleck-Kennedy-Lieb-Tasaki态的纠缠哈密顿量的量子反铁磁Heisenberg半奇整数自旋模型

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摘要

Applying a symmetric bulk bipartition to the one-dimensional Affleck-Kennedy-Lieb-Tasaki valence-bond solid (VBS) states for the integer spin-5 Haldane gapped phase, we can create an array of fractionalized spin-S/2 edge states with the super unit cell l in the reduced bulk system, and the topological properties encoded in the VBS wave functions can be revealed. The entanglement Hamiltonian (EH) with even l corresponds to the quantum antiferromagnetic Heisenberg spin-S/2 model. For the even integer spins, the EH still describes the Haldane gapped phase. For the odd integer spins, however, the EH just corresponds to the quantum antiferromagnetic Heisenberg half-odd integer-spin model with spinon excitations, characterizing the critical point separating the topological Haldane phase from the trivial gapped phase. Our results thus demonstrate that the topological bulk property not only determines its fractionalized edge states but also the quantum criticality associated with the topological phase, where the elementary excitations are precisely those fractionalized edge degrees of freedom confined in the bulk of the topological phase.
机译：对对称自旋5 Haldane有隙相的一维Affleck-Kennedy-Lieb-Tasaki价键固体（VBS）态应用对称的整体分割，我们可以创建一个带有自旋S / 2边缘态的分式阵列可以看到减小体积系统中的超级晶胞1，并且可以揭示以VBS波函数编码的拓扑特性。具有偶数l的纠缠哈密顿量（EH）对应于量子反铁磁Heisenberg自旋S / 2模型。对于偶数整数自旋，EH仍描述了Haldane间隙相。但是，对于奇数整数自旋，EH恰好对应于具有自旋子激发的量子反铁磁Heisenberg半奇数整数自旋模型，其特征是将拓扑Haldane相与琐碎有隙相分离的临界点。因此，我们的结果表明，拓扑体性质不仅决定其分形的边缘状态，而且还决定与拓扑相相关的量子临界性，其中基本激发恰好是那些局限在拓扑相主体中的分形的边缘自由度。

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  • 来源
    《Physical review》 |2016年第11期|115125.1-115125.9|共9页
  • 作者

    Wen-Jia Rao; Guang-Ming Zhang; Kun Yang;

  • 作者单位

    State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China;

    State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China,Collaborative Innovation Center of Quantum Matter, Beijing 100084, China;

    National High Magnetic Field Laboratory and Physics Department, Florida State University, Tallahassee, Florida 32310, USA;

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