The deconfined quantum critical point, a prototype Landau-forbidden transition, could exist, in principle, in the phase transitions involving a symmetry-protected topological phase; however, examples of such kinds of transitions in physical systems are rare beyond one-dimensional systems. Here, using a density-matrix renormalization-group calculation, we unveil a bosonic integer quantum Hall phase in a two-dimensional correlated honeycomb lattice, by full identification of its internal structure from the topological $\mathbf{K}$ matrix. Moreover, we demonstrate that imbalanced periodic chemical potentials can destroy the bosonic integer quantum Hall state and drive it into a featureless trivial (Mott) insulator, where all physical observables evolve smoothly across the critical point. At the critical point, the entanglement entropy reveals a characteristic scaling behavior, which is consistent with the critical field theory as an emergent ${\mathrm{QED}}_3$ with two flavors of Dirac fermions.

中文翻译：

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玻色整数量子霍尔液体与琐碎绝缘体之间的连续相变：有限量子临界的证据

原则上，在包含对称保护拓扑相的相变中，可以存在未限制的量子临界点，即原型Landau禁止的跃迁。然而，除了一维系统之外，物理系统中这类过渡的例子很少见。在这里，我们使用密度矩阵重归一化组计算，通过从拓扑学完全识别其内部结构，揭示了二维相关蜂窝晶格中的玻色整数量子霍尔相。$\mathbf{ķ}$矩阵。此外，我们证明了不平衡的周期性化学势能破坏玻色整数整数霍尔状态，并将其驱动到无特征的琐碎（Mott）绝缘子中，在该绝缘子中，所有物理可观察物都在临界点平稳地演化。在临界点，纠缠熵揭示了特征尺度行为，这与临界场理论一致${\mathrm{优质教育}}_3$ 有两种狄拉克费米子口味。