Corbino几何中量子Hall态的热功率作为准粒子熵的度量
Thermopower of Quantum Hall States in Corbino Geometry as a Measure of Quasiparticle Entropy
摘要：
利用Onsager关系的电和热输运系数，并考虑到量子霍尔凝聚体和准粒子在运输中发挥的非常不同的作用，我们认为，在一个Corbino几何量子霍尔平台热势的中心附近措施{ \it“熵每准粒子每准粒子电荷”}。这种关系表明，热功率测量中的Corbino设置是一个更直接的措施比在霍尔酒吧准粒子熵。治疗自洽玻恩近似内的无序，我们通过明确的微观计算表明，这种关系在低温下保持在一个整数量子霍尔平台。将此应用于非阿贝尔量子霍尔态，我们认为，在足够低的温度下，科尔比诺热电势变得与温度无关，并测量非阿贝尔准粒子的量子维数，确定它们携带的拓扑熵。
英文摘要：
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 {\it "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.
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