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Emergent symmetry and conserved current at a one-dimensional incarnation of deconfined quantum critical point

机译：结核量子临界点的一维切除的紧急对称性和保守电流

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摘要

The deconfined quantum critical point (DQCP) was originally proposed as a continuous transition between two spontaneous symmetry breaking phases in 2D spin-1/2 systems. While great efforts have been spent on the DQCP for 2D systems, both theoretically and numerically, ambiguities among the nature of the transition are still not completely clarified. Here we shift the focus to a recently proposed 1D incarnation of DQCP in a spin-1/2 chain. By solving it with the variational matrix product state in the thermodynamic limit, a continuous transition between a valence-bond solid phase and a ferromagnetic phase is discovered. The scaling dimensions of various operators are calculated and compared with those from field theoretical description. At the critical point, two emergent O(2) symmetries are revealed, and the associated conserved current operators with exact integer scaling dimensions are determined with scrutiny. Our findings provide the low-dimensional analog of DQCP where unbiased numerical results are in perfect agreement with the controlled field theoretical predictions and have extended the realm of the unconventional phase transition as well as its identification with the advanced numerical methodology.
机译：结核量子临界点（DQCP）最初提出为2D Spin-1/2系统中的两个自发对称断裂相之间的连续转变。虽然在理论上和数值上，但在理论上和数值上都花了大量努力，但过渡性质之间的含糊不清而澄清。在这里，我们将焦点转移到最近提出的DQCP在旋转1/2链中的1D化量。通过在热力学极限中用变分基质产物状态求解它，发现价键固相与铁磁相之间的连续转变。计算各种操作员的缩放尺寸，并与现场理论描述的尺寸进行比较。在临界点处，揭示了两个突出的O（2）对称性，并且通过仔细检查了具有精确整数缩放尺寸的相关保存的电流运算符。我们的研究结果提供了DQCP的低维模拟，其中没有偏见的数值结果与受控场理论预测完全一致，并扩展了非传统相转移的领域，并以先进的数值方法的识别。

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  • 来源
    《Physical review》 |2019年第12期|125137.1-125137.16|共16页
  • 作者

    Huang Rui-Zhen; Lu Da-Chuan; You Yi-Zhuang; Meng Zi Yang; Xiang Tao;

  • 作者单位

    Univ Chinese Acad Sci Kavli Inst Theoret Sci Beijing 100190 Peoples R China;

    Univ Calif San Diego Dept Phys La Jolla CA 92093 USA;

    Univ Calif San Diego Dept Phys La Jolla CA 92093 USA;

    Chinese Acad Sci Beijing Natl Lab Condensed Matter Phys Beijing 100190 Peoples R China|Chinese Acad Sci Inst Phys Beijing 100190 Peoples R China|Songshan Lake Mat Lab Dongguan 523808 Guangdong Peoples R China|Univ Hong Kong Dept Phys Hong Kong Peoples R China;

    Chinese Acad Sci Beijing Natl Lab Condensed Matter Phys Beijing 100190 Peoples R China|Chinese Acad Sci Inst Phys Beijing 100190 Peoples R China|Collaborat Innovat Ctr Quantum Matter Beijing 100190 Peoples R China;

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