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Quantum phase transition between integer quantum Hall states of bosons

机译：玻色子的整数量子霍尔态之间的量子相变

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045129-1%Bosonic integer quantum Hall (IQH) phases are a class of symmetry-protected topological (SPT) phases that, similar to the fermionic IQH states, support a quantized Hall conductance. They, however, require interactions for their realization. Here, we study quantum Hall plateau transitions between a trivial insulator and a bosonic IQH phase, in a clean system. Generically, we find an intervening superfluid phase. The presence of additional symmetries, however, can potentially lead to a direct transition between these phases. We employ a fermionic parton description that captures both the insulating phases as well as the transition between them. The critical theory is massless QED-3 with N_f = 2 fermion flavors. The fermions have a surprisingly simple interpretation: they are vortices of the superfluid. Therefore, the universal conductivity at the transition, assuming it is continuous, equals the universal resistivity of Dirac fermions in QED-3. We also briefly comment on sigma model descriptions of the transition and the surface states of related three-dimensional SPT phases.
机译：045129-1％Bosonic整数量子霍尔（IQH）相是一类受对称保护的拓扑（SPT）相，类似于铁离子IQH状态，支持量化的霍尔电导。但是，它们需要交互才能实现。在这里，我们研究了干净系统中琐碎的绝缘体和Bosonic IQH相之间的量子霍尔高原跃迁。通常，我们发现中间有一个超流体相。但是，存在其他对称性可能会导致这些阶段之间的直接过渡。我们使用费米离子parton描述来捕获绝缘相以及它们之间的过渡。关键理论是具有N_f = 2个费米子味的无质量QED-3。费米子具有令人惊讶的简单解释：它们是超流体的涡旋。因此，假设过渡是连续的，则过渡处的通用电导率等于QED-3中狄拉克费米子的通用电阻率。我们还简要评论了有关三维三维SPT相的过渡和表面状态的sigma模型描述。

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