Telegraph noise and fractional statistics in the quantum Hall effect.
Telegraph noise and fractional statistics in the quantum Hall effect.
复制标题
量子霍尔效应中的电报噪声和分数统计。
DOI：
10.1103/physrevlett.90.226802
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发表时间：
2002
影响因子：
8.6
通讯作者：
C. Kane
中科院分区：
文献类型：
--
作者：
C. Kane
从理论上研究了环中间有第三接触的Aharonov-Bohm环分数量子霍尔区的非平衡噪声。由于它们的分数统计特性，Laughlin准粒子在环的内外边缘之间的隧穿改变了环周围准粒子经历的有效Aharonov-Bohm通量，导致环上的电导发生变化。因此，中间触点上的小电流会引起流过环的电流的波动，这类似于随机电报噪声。我们使用手征Luttinger液体模型分析了这种噪声。在低频下，电报噪声与隧道电流成反比，并且可能比散粒噪声大得多。我们建议将Aharonov-Bohm效应与噪声测量相结合，为观察分数统计提供了一种直接的方法。
We study theoretically nonequilibrium noise in the fractional quantum Hall regime for an Aharonov-Bohm ring with a third contact in the middle of the ring. Because of their fractional statistics the tunneling of Laughlin quasiparticles between the inner and outer edges of the ring changes the effective Aharonov-Bohm flux experienced by quasiparticles going around the ring, leading to a change in the conductance across the ring. A small current in the middle contact, therefore, gives rise to fluctuations in the current flowing across the ring which resemble random telegraph noise. We analyze this noise using the chiral Luttinger liquid model. At low frequencies the telegraph noise varies inversely with the tunneling current and can be much larger than the shot noise. We propose that combining the Aharonov-Bohm effect with a noise measurement provides a direct method for observing fractional statistics.