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Continuous phase transition between bosonic integer quantum Hall liquid and a trivial insulator: Evidence for deconfined quantum criticality
Physical Review B ( IF 3.2 ) Pub Date : 2020-01-23 , DOI: 10.1103/physrevb.101.035138
Tian-Sheng Zeng , D. N. Sheng , W. Zhu

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 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 QED3 with two flavors of Dirac fermions.

中文翻译:

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。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优质教育3 有两种狄拉克费米子口味。
更新日期:2020-01-23
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