Lee Byeongmok, Han Cheolhee, Sim H-S
Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea.
Phys Rev Lett. 2019 Jul 3;123(1):016803. doi: 10.1103/PhysRevLett.123.016803.
Anyonic fractional charges e^{} have been detected by autocorrelation shot noise at a quantum point contact (QPC) between two fractional quantum Hall edges. We find that the autocorrelation noise can also show a fingerprint of Abelian anyonic fractional statistics. We predict the noise of the electrical tunneling current I at the QPC of the fractional-charge detection setup, when anyons are dilutely injected, from an additional edge biased by a voltage, to the setup in equilibrium. At large voltages, the nonequilibrium noise is reduced below the thermal equilibrium noise by the value 2e^{}I. This negative excess noise is opposite to the positive excess noise 2e^{*}I of the conventional fractional-charge detection and also to the usual positive autocorrelation noises of electrical currents. This is a signature of Abelian fractional statistics, resulting from the effective braiding of an anyon thermally excited at the QPC around another anyon injected from the additional edge.
在两个分数量子霍尔边缘之间的量子点接触（QPC）处，通过自相关散粒噪声检测到了任意子分数电荷(e^{})。我们发现，自相关噪声还可以显示阿贝尔任意子分数统计的特征。我们预测，当任意子被稀释注入时，从由电压偏置的额外边缘到处于平衡状态的装置，在分数电荷检测装置的QPC处的电隧穿电流(I)的噪声。在高电压下，非平衡噪声比热平衡噪声降低了(2e^{}I)的值。这种负的过量噪声与传统分数电荷检测中的正过量噪声(2e^{*}I)相反，也与电流通常的正自相关噪声相反。这是阿贝尔分数统计的一个特征，它源于在QPC处热激发的一个任意子围绕从额外边缘注入的另一个任意子的有效编织。
