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Chirality-protected Majorana zero modes at the gapless edge of Abelian quantum Hall states

机译:在阿贝尔量子霍尔态的无间隙边缘处受手性保护的Majorana零模

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摘要

We show that the ν = 8 integer quantum Hall state can support Majorana zero modes at domain walls between its two different stable chiral edge phases without superconductivity. This is due to the existence of an edge phase that does not support gapless fermionic excitations; all gapless excitations are bosonic in this edge phase. Majorana fermion zero modes occur at a domain wall between this edge phase and the more conventional one that does support gapless fermions. Remarkably, due to the chirality of the system, the topological degeneracy of these zero modes has exponential protection, as a function of the relevant length scales, in spite of the presence of gapless excitations, including gapless fermions. These results are compatible with charge conservation, but do not require it. We discuss generalizations to other integer and fractional quantum Hall states, and classify possible mechanisms for appearance of Majorana zero modes at domain walls.
机译:我们证明了ν= 8的整数量子霍尔态可以在其两个不同的稳定手性边缘相之间的畴壁上支持马约拉那零模,而没有超导性。这是由于存在不支持无间隙铁电激发的边缘相。在该边缘相中,所有无间隙激励都是玻色的。 Majorana费米子零模出现在该边缘相和支持无间隙费米子的更传统的边缘相之间的畴壁上。值得注意的是,由于系统的手性,尽管存在包括无隙费米子在内的无隙激励,但这些零模的拓扑简并性仍根据相关的长度尺度具有指数保护。这些结果与电荷守恒兼容,但不是必需的。我们讨论了对其他整数和分数量子霍尔态的概括,并对在畴壁处出现马约拉那零模的可能机制进行了分类。

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  • 来源
    《Physical review》 |2015年第19期|195152.1-195152.12|共12页
  • 作者单位

    Department of Physics, University of California, Santa Barbara, California 93106, USA;

    Microsoft Research, Station Q, Elings Hall, University of California, Santa Barbara, California 93106-6105, USA;

    Microsoft Research, Station Q, Elings Hall, University of California, Santa Barbara, California 93106-6105, USA;

    Microsoft Research, Station Q, Elings Hall, University of California, Santa Barbara, California 93106-6105, USA,Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA,Joint Quantum Institute, University of Maryland, College Park, Maryland 20742, USA;

    Department of Physics, University of California, Santa Barbara, California 93106, USA,Microsoft Research, Station Q, Elings Hall, University of California, Santa Barbara, California 93106-6105, USA;

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  • 正文语种 eng
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  • 关键词

    fermions in reduced dimensions (anyons, composite fermions, luttinger liquid, etc.); quantum hall effects;

    机译:缩小尺寸的费米子(任意子;复合费米子;吸液剂液体等);量子霍尔效应;

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