论文标题
在填充因子二的量子厅对撞机中的当前互相关
Current cross-correlations in a quantum Hall collider at filling factor two
论文作者
论文摘要
我们使用非均衡性琼脂化技术来研究基于量子霍尔(QH)边缘状态在归档因子$ν= 2 $的介质电子山脉中库仑相互作用的影响。计算了当前的互相关和FANO因素,这些因素携带有关排除统计信息的信息。结果表明,这两个量对源透明度都有非分析依赖性,该量透明度为$ \ log(1/t_s)$在小$ t_s \ ll 1 $上。这是对撞机的传出非平衡状态中电子相互作用的结果。
We use the non-equilibrium bosonization technique to study the effects of Coulomb interactions in mesoscopic electron colliders based on quantum Hall (QH) edge states at filing factor $ν= 2$. The current cross-correlations and Fano factor, which carry the information about the exclusion statistics, are calculated. It is shown that both these quantities have a non-analytical dependence on the source transparency, which scales as $\log(1/T_s)$ at small $T_s \ll 1$. This is the consequence of electron-electron interactions in the outgoing non-equilibrium states of the collider.