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首页> 外文期刊>Physical review >Quantum phase transitions in a v = 1/2 bosonic fractional Chern insulator
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Quantum phase transitions in a v = 1/2 bosonic fractional Chern insulator

机译：v = 1/2挥动分数Chern绝缘体中的量子相变

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摘要

Interacting quantum many-body systems often generate exotic orders, either topological or conventional competing orders. Understanding these phases and the phase transitions between them are common issues in condensed-matter physics. How to characterize these states in a convincing and convenient way remains ambiguous. Here, we report our numerical study on the interacting v = 1/2 hard-core boson system with topological flat bands based on the infinite density matrix group algorithm. We explicitly show that the entanglement spectral flow can be used to diagnose the quantum phases emerging in the hard-core boson systems. In particular, the subsequent charge pumping exhibits a linear, sinelike, and indiscernible dependence by the flux threading in the fractional Chern insulator, supersolid, and solid state, respectively. The real-space boson occupancy in the thermodynamic limit is further calculated for a better understanding of the respective state. We compare the phase diagram obtained here with that ohtained by the previously exact diagonalization method, and qualitative differences are observed. Therefore, the infinite density matrix group algorithm provides a convincing and convenient way to study the phase transition in such a strongly correlated topological system.
机译：相互作用量子的多体系经常产生异国情调的订单，拓扑或常规竞争命令。了解这些阶段和它们之间的相位过渡是凝聚物理学中的常见问题。如何以令人信服和方便的方式表征这些国家仍然含糊不清。在这里，我们向基于无限密度矩阵群算法的拓扑平带的交互v = 1/2硬核玻色子系统报告了我们的数值研究。我们明确表明纠缠光谱流量可用于诊断硬核培养系统中出现的量子阶段。特别地，随后的电荷泵分别通过分数塞仑绝缘体，超载和固态的磁通螺纹显示出线性，劣质和近似敏感的依赖性。进一步计算热力学极限中的实时空间占用率，以便更好地理解各个状态。我们比较这里获得的相位图与先前精确的对角化方法的那个OHTINATED，并且观察到定性差异。因此，无限密度矩阵组算法提供了一种令人信服和方便的方法来研究这种强相关的拓扑系统中的相位过渡。

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  • 来源
    《Physical review》 |2020年第15期|155120.1-155120.7|共7页
  • 作者

    Wei-Wei Luo; Ai-Lei He; Yuan Zhou; Yi-Fei Wang; Chang-De Gong;

  • 作者单位

    National Laboratory of Solid State Micro structures and Department of Physics Nanjing University Nanjing 210093 China;

    National Laboratory of Solid State Micro structures and Department of Physics Nanjing University Nanjing 210093 China Institute for Advanced Study Tsinghua University Beijing 100084 China;

    National Laboratory of Solid State Micro structures and Department of Physics Nanjing University Nanjing 210093 China Collaborative Innovation Center of Advanced Microstructures Nanjing University Nanjing 210093 China;

    Center for Statistical and Theoretical Condensed Matter Physics and Department of Physics Zhejiang Normal University Jinhua 321004 China;

    National Laboratory of Solid State Micro structures and Department of Physics Nanjing University Nanjing 210093 China Collaborative Innovation Center of Advanced Microstructures Nanjing University Nanjing 210093 China Center for Statistical and Theoretical Condensed Matter Physics and Department of Physics Zhejiang Normal University Jinhua 321004 China;

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