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Phase diagram of ν = 1/2 + 1/2 bilayer bosons with interlayer couplings

机译:带层间耦合的ν= 1/2 + 1/2双层玻色子的相图

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摘要

We present the quantitative phase diagram of the bilayer bosonic fractional quantum Hall system on the torus geometry at total filling factor ν = 1 in the lowest Landau level. We consider short-range interactions within and between the two layers, as well as the interlayer tunneling. In the fully polarized regime, we provide an updated detailed numerical analysis to establish the presence of the Moore-Read phase of both even and odd numbers of particles. In the actual bilayer situation, we find that both interlayer interactions and tunneling can provide the physical mechanism necessary for the low-energy physics to be driven by the fully polarized regime, thus leading to the emergence of the Moore-Read phase. Interlayer interactions favor a ferromagnetic phase when the system is SU(2) symmetric, while the interlayer tunneling acts as a Zeeman field polarizing the system. Besides the Moore-Read phase, the (220) Halperin state and the coupled Moore-Read state are also realized in this model. We study their stability against each other.
机译:我们在最低朗道能级的总填充因子ν= 1的情况下,给出了环形复层上的双层玻色子分数量子霍尔系统的定量相图。我们考虑了两层之间以及两层之间的短程相互作用以及层间隧道效应。在完全极化状态下,我们提供了更新的详细数值分析,以建立偶数和奇数粒子的摩尔读取相的存在。在实际的双层情况下,我们发现层间相互作用和隧穿都可以提供低能物理受完全极化状态驱动的必要物理机制,从而导致摩尔-阅读相的出现。当系统为SU(2)对称时,层间相互作用有利于铁磁相,而层间隧穿则充当使系统极化的塞曼场。除了摩尔读取阶段外,在此模型中还实现了(220)Halperin状态和耦合的摩尔读取状态。我们研究它们彼此之间的稳定性。

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  • 来源
    《Physical review》 |2016年第8期|085115.1-085115.10|共10页
  • 作者单位

    Dahlem Center for Complex Quantum Systems and Institut fuer Theoretische Physik, Freie Universitaet Berlin, Arnimallee 14, 14195 Berlin, Germany,Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA;

    Department of Physics, Stanford University, Stanford, California 94305, USA,Department of Physics, Cornell University, Ithaca, New York 14853, USA;

    Max-Planck-Institut fuer Physik komplexer Systeme, 01187 Dresden, Germany;

    Department of Physics, Princeton University, Princeton, New Jersey 08544, USA,Laboratoire Pierre Aigrain, Ecole Normale Superieure-PSL Research University, CNRS, Universite Pierre et Marie Curie-Sorbonne Universites, Universite Paris Diderot-Sorbonne Paris Cite, 24 rue Lhomond, 75231 Paris Cedex 05, France;

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