对称分数边态Mach-Zehnder干涉仪中的电荷转移统计
Charge transfer statistics in symmetric fractional edge-state Mach-Zehnder interferometer
摘要：
本文研究了填充因子为$ν_{0,1}=1/(2 m_{0,1}+1)$的量子霍尔液体组成的马赫-曾德尔干涉仪中两边缘电荷转移的零温统计。利用已知的对称干涉仪的Bethe近似解，得到了边间恒压$V$下电荷的累积生成函数。它的低$V$行为可以用电子隧穿来解释，而它的大$V$渐近性再现了具有分数（对于$m>1$）电荷和统计的准粒子的$m$态动力学（$m\equiv 1+m_{0}+m_{1}$）。我们还分析了电子和准粒子之间的过渡区。
英文摘要：
We have studied the zero-temperature statistics of charge transfer between the two edges of Quantum Hall liquids with filling factors $ν_{0,1}=1/(2 m_{0,1}+1)$ forming Mach-Zehnder interferometer. The known Bethe ansatz solution for symmetric interferometer is used to obtain the cumulant-generating function of charge at constant voltage $V$ between the edges. Its low-$V$ behavior can be interpreted in terms of electron tunneling, while its large-$V$ asymptotics reproduces the $m$-state dynamics ($m\equiv 1+m_{0}+m_{1}$) of quasiparticles with fractional (for $m>1$) charge and statistics. We also analyze the transition region between electrons and quasiparticles.
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