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Gapless layered three-dimensional fractional quantum Hall states

机译：无间隙层状三维分数阶量子霍尔态

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摘要

Using the parton construction, we build a three-dimensional (3D) multilayer fractional quantum Hall state with average filling v= 1 /3 per layer that is qualitatively distinct from a stacking of weakly coupled Laughlin states. The state supports gapped charge e/3 fermionic quasiparticles that can propagate both within and between the layers, in contrast to the quasiparticles in a multilayer Laughlin state which are confined within each layer. Moreover, the state has gapless neutral collective modes, a manifestation of an emergent "photon," which is minimally coupled to the fermionic quasiparticles. The surface sheath of the multilayer state resembles a chiral analog of the Halperin-Lee-Read state, which is protected against gap-forming instabilities by the topological character of the bulk 3D phase. We propose that this state might be present in multilayer systems in the "intermediate tunneling regime," where the interlayer tunneling strength is on the same order as the Coulomb energy scale. We also find that the parton construction leads to a candidate state for a bilayer v=l/3 system in the intermediate tunneling regime. The candidate state is distinct from both a bilayer of v = 1/3 Laughlin states and the single layer v=2/3 state but is, nonetheless, a fully gapped fractional quantum Hall state with charge e/3 anyonic quasiparticles.
机译：使用parton构造，我们构建了三维（3D）多层分数量子霍尔态，每层平均填充v = 1/3，在质量上与弱耦合Laughlin态的堆叠在质量上有所不同。与被限制在每一层内的多层劳克林状态的准粒子相反，该状态支持可以在层内和层之间传播的带隙电荷e / 3铁电准粒子。而且，该状态具有无间隙的中性集体模式，这是出现的“光子”的体现，该“光子”与费米离子准粒子的耦合最小。多层状态的表面鞘层类似于Halperin-Lee-Read状态的手性类似物，通过本体3D相的拓扑特征可防止形成间隙的不稳定性。我们建议这种状态可能会出现在“中间隧穿状态”的多层系统中，其中，层间隧穿强度与库仑能级处于同一数量级。我们还发现，在中间隧穿机制中，parton构造导致双层v = 1/3系统的候选状态。候选态既不同于双层v = 1/3 Laughlin态，又不同于单层v = 2/3态，但是仍然是带电荷e / 3的任何准准粒子的全隙分数量子霍尔态。

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  • 来源
    《Physical review》 |2009年第23期|590-600|共11页
  • 作者

    Michael Levin; Matthew P. A. Fisher;

  • 作者单位

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

    Microsoft Research, Station Q, University of California, Santa Barbara, California 93106, USA;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    quantum hall effects; multilayers;

    机译：量子霍尔效应多层;

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