Noise on complex quantum Hall edges: Chiral anomaly and heat diffusion
Noise on complex quantum Hall edges: Chiral anomaly and heat diffusion
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DOI：
10.1103/physrevb.99.161302
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发表时间：
2019-04-25
影响因子：
3.7
通讯作者：
Gefen, Yuval
中科院分区：
文献类型：
--
作者：
Park, Jinhong;Mirlin, Alexander D.;Gefen, Yuval
量子霍尔棒的电导和热导反映了不可压缩体相的拓扑结构。在这里，我们表明，通过边缘进行的电流噪声是这两个拓扑观测之间的相互作用的证据。传输通过结构化的边缘是由一个电压偏置线结与各自的填充因子相关联的两个反向传播模式。具体来说，我们专注于v = 2/3分数量子霍尔态的边缘。噪声产生于与热点（大部分欧姆耗散发生的地方）明显分离的点，并反映了弹道携带的下游电流和扩散携带的热量（也可以向上游传播）之间的竞争。我们提出了可以测量我们的预测的具体设置。
Electrical and thermal conductances of a quantum Hall bar reflect the topological structure of the incompressible bulk phase. Here we show that noise of the electrical current carried through the edge is evidence of the interplay between these two topological observables. Transport through a structured edge is modeled by a voltage-biased line junction made up of two counterpropagating modes associated with respective filling factors. Specifically, we focus on the edge of a v = 2/3 fractional quantum Hall state. Noise is generated at a point distinctly separated from the hot spot (where most of the Ohmic dissipation takes place) and reflects the competition between ballistically carried downstream current and diffusively carried heat (which can propagate also upstream). We propose specific setups where our predictions can be measured.