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Parafermion supporting platform based on spin transitions in the fractional quantum Hall effect regime

机译:基于旋转过渡的parafermion支撑平台   分数量子霍尔效应机制

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摘要

We propose an experimentally-feasible system based on spin transitions in thefractional quantum Hall effect regime where parafermions, high-ordernon-abelian excitations, can be potentially realized. We provide aproof-of-concept experiments showing that in specially designedheterostructures spin transitions at a filling factor 2/3 can be inducedelectrostatically, allowing local control of polarization and on-demandformation of helical domain walls with fractionalized charge excitations, apre-requisite ingredient for parafermions formation. We also present exactdiagonalization numerical studies of domain walls formed between domains withdifferent spin polarization in the fractional quantum Hall effect regime andshow that they indeed possess electronic and magnetic structure needed forparafermion formation when coupled to an s-wave superconductor.
机译:我们提出了一个在分数量子霍尔效应机制中基于自旋跃迁的实验可行系统,在该系统中有可能实现超差,高阶非阿贝尔激发。我们提供的概念验证实验表明,在经过特殊设计的异质结构中,可以静电诱导填充因子2/3的自旋跃迁,从而可以通过极化电荷激发来局部控制极化和按需形成螺旋形畴壁,这是准二聚体的必要成分编队。我们还提出了在分数量子霍尔效应机制中具有不同自旋极化的畴之间形成的畴壁的精确对角线化数值研究,并显示了它们确实具有与s波超导体耦合时形成铁电镜所需的电子和磁性结构。

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