Fractionalization noise in edge channels of integer quantum Hall states

Details Fractionalization noise in edge channels of integer quantum Hall states Fractionalization noise in edge channels of integer quantum Hall states

2011-09-05

arxiv.org/abs/1109.1002v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

A theoretical calculation is presented of current noise which is due charge fractionalization, in two interacting edge channels in the integer quantum Hall state at filling factor 2. Due to the capacitance coupling between the channels, an electron tunneling event from a biased source lead to one of the channels creates propagating plasma modes excitations that carry fractional charges on the other edge channel. When these excitations impinge on a quantum point contact, they induce low frequency current fluctuations with no net average current. A perturbative treatment in the weak tunneling regime yields an analytical integral expressions for the noise as a function of the bias on the source. Closed expressions of the noise in the limits of high and low bias are found.

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