Komnik A, Saleur H
Service de Physique Théorique, CEA Saclay, F-91191 Gif-sur-Yvette, France.
Phys Rev Lett. 2006 Jun 2;96(21):216406. doi: 10.1103/PhysRevLett.96.216406.
We study the statistics of charge transfer through an impurity in a chiral Luttinger liquid (realized experimentally as a quantum point contact in a fractional quantum Hall edge state device). Taking advantage of the integrability we present a procedure for obtaining the cumulant generating function of the probability distribution to transfer a fixed amount of charge through the constriction. Using this approach we analyze in detail the behavior of the third cumulant C3 as a function of applied voltage, temperature, and barrier height. We predict that C3 can be used to measure the fractional charge at temperatures, which are several orders of magnitude higher than those needed to extract the fractional charge from the measurement of the second cumulant. Moreover, we identify the component of C3, which carries the information about the fractional charge.
我们研究了在手性卢廷格液体中通过杂质的电荷转移统计（在实验中实现为分数量子霍尔边缘态器件中的量子点接触）。利用可积性，我们提出了一种程序，用于获得通过该收缩区域转移固定电荷量的概率分布的累积量生成函数。使用这种方法，我们详细分析了第三累积量(C_3)作为施加电压、温度和势垒高度的函数的行为。我们预测，(C_3)可用于在比从第二累积量测量中提取分数电荷所需温度高几个数量级的温度下测量分数电荷。此外，我们确定了(C_3)中携带分数电荷信息的分量。
