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Confinement-deconfinement transition due to spontaneous symmetry breaking in quantum Hall bilayers

机译:量子霍尔双分子层中自发对称破坏引起的限制-解除限制过渡

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摘要

Band-inverted electron-hole bilayers support quantum spin Hall insulator and excitoncondensate phases. Interest in quantum spin Hall effect in these systems has recently putthem in the spotlight. We investigate such a bilayer in an external magnetic field. We showthat the interlayer correlations lead to formation of a helical quantum Hall exciton condensatestate. Existence of the counterpropagating edge modes in this system results in formation ofa ground state spin-texture not supporting gapless single-particle excitations. The chargededge excitations in a sufficiently narrow Hall bar are confined: a charge on one of the edgesalways gives rise to an opposite charge on the other edge. Magnetic field and gate voltagesallow the control of a confinement-deconfinement transition of charged edge excitations,which can be probed with nonlocal conductance. Confinement-deconfinement transitions areof great interest, not least because of their possible significance in shedding light on theconfinement problem of quarks.
机译:能带反转的电子-空穴双层支持量子自旋霍尔绝缘体和激子凝聚相。这些系统对量子自旋霍尔效应的兴趣最近引起了人们的关注。我们在外部磁场中研究这种双层。我们表明,层间相关性导致形成螺旋量子霍尔激子凝聚态。该系统中反向传播边缘模式的存在导致形成不支持无间隙单粒子激发的基态自旋纹理。足够窄的霍尔棒中的带电边缘激励被限制:一个边缘上的电荷始终会在另一边缘上产生相反的电荷。磁场和栅极电压允许控制带电边缘激励的约束-解除约束跃迁,可以用非局部电导来探测。限制-解除限制转换非常令人感兴趣,尤其是因为它们在阐明夸克的限制问题方面可能具有重要意义。

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