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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
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 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 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。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 有两种狄拉克费米子口味。
更新日期:2020-01-23
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。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 有两种狄拉克费米子口味。