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Thermopower of quantum Hall states in Corbino geometry as a measure of quasiparticle entropy

机译：Corbino几何中的量子霍尔态的热功率，作为准粒子熵的量度

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摘要

Using the Onsager relation between electric and heat transport coefficients, and considering the very different roles played by the quantum Hall condensate and quasiparticles in transport, we argue that near the center of a quantum Hall plateau thermopower in a Corbino geometry measures entropy per quasiparticle per quasiparticle charge. This relation indicates that thermopower measurement in a Corbino setup is a more direct measure of quasiparticle entropy than in a Hall bar. Treating disorder within the self-consistent Born approximation, we show through an explicit microscopic calculation that this relation holds on an integer quantum Hall plateau at low temperatures. Applying this to non-Abelian quantum Hall states, we argue that Corbino thermopower at sufficiently low temperature becomes temperature independent and measures the quantum dimension of non-Abelian quasiparticles that determines the topological entropy they carry.
机译：利用电传输系数和热传输系数之间的Onsager关系，并考虑量子霍尔冷凝物和准粒子在传输中所起的非常不同的作用，我们认为在Corbino几何中量子霍尔高原热能的中心附近会测量每个准粒子的熵收费。这种关系表明，与霍尔棒相比，Corbino装置中的热功率测量是对准粒子熵的更直接测量。在自洽的Born近似内处理无序，我们通过显式的微观计算表明，这种关系在低温下保持在整数量子Hall平台上。将其应用于非阿贝尔量子霍尔态，我们认为在足够低的温度下，Corbino热电变得与温度无关，并测量非阿贝尔拟粒子的量子尺寸，从而确定它们所携带的拓扑熵。

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  • 来源
    《Physical review》 |2012年第19期|p.195107.1-195107.8|共8页
  • 作者

    Yafis Barlas; Kun Yang;

  • 作者单位

    Department of Physics and Astronomy, University of California, Riverside, California 92521, USA;

    National High Magnetic Field Laboratory and Department of Physics, Florida State University, Florida 32306, USA;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    theory and modeling;

    机译：理论与建模;

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