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Single-layer tensor network study of the Heisenberg model with chiral interactions on a kagome lattice

机译：kagome格子对服饰互动的Heisenberg模型的单层张量网络研究

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摘要

We study the antiferromagnetic kagome Heisenberg model with an additional scalar-chiral interaction by using the infinite projected entangled-pair state (iPEPS) ansatz. We discuss in detail the implementation of the optimization algorithm in the framework of the single-layer tensor network based on the corner transfer matrix technique. Our benchmark based on the full-update algorithm shows that the single-layer algorithm is stable, which leads to the same level of accuracy as the double-layer ansatz but with much less computation time. We further apply this algorithm to study the nature of the kagome Heisenberg model with a scalar-chiral interaction by computing the bond dimension scaling of magnetization, bond energy difference, chiral order parameter, and correlation length. In particular, we find that for strong chiral coupling the correlation length, which is extracted from the transfer matrix, saturates to a finite value for large bond dimension, representing a gapped spin-liquid state. Further comparison with density matrix renormalization group results supports that our iPEPS faithfully represents the time-reversal symmetry breaking chiral state. Our iPEPS simulation results shed new light on constructing PEPS for describing gapped chiral topological states.
机译：我们使用无限投影的纠缠态（IPEPS）Ansatz来研究额外的标量手写相互作用的反铁磁性Kagome Heisenberg模型。我们详细讨论了基于拐角传递矩阵技术的单层张量网络框架中优化算法的实现。我们基于全更新算法的基准显示单层算法是稳定的，这导致与双层Ansatz相同的精度，但计算时间较少。我们进一步应用该算法来研究Kagome Heisenberg模型的性质，通过计算磁化，债券能量差，手性顺序参数和相关长度的键尺寸缩放来研究kagome heisenberg模型的性质。特别地，我们发现，对于从传递矩阵中提取的相关长度的强手性耦合，其饱和到用于大键尺寸的有限值，表示螺旋旋转液态。与密度矩阵重整化组的进一步比较，结果支持我们的IPEPS忠实地代表了违反手性状态的时间逆转对称性。我们的IPEPS仿真结果揭示了构建PEP的新灯，用于描述隐蔽的手性拓扑状态。

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  • 来源
    《Physical review》 |2019年第17期|174423.1-174423.11|共11页
  • 作者

    Haghshenas R.; Gong Shou-Shu; Sheng D. N.;

  • 作者单位

    Calif State Univ Northridge Dept Phys & Astron Northridge CA 91330 USA;

    Beihang Univ Dept Phys Beijing 100191 Peoples R China;

    Calif State Univ Northridge Dept Phys & Astron Northridge CA 91330 USA;

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