Fractional Charge Determination via Quantum Shot Noise Measurements

Understand

Charge excitations in a two dimensional electron gas, under a quantizing magnetic field and in the fractional quantum Hall effect regime, flow in one dimensional-like strips along the edges of the sample.

• These excitations (quasiparticles) may be independent or condense into an interacting chiral Luttinger liquid.
• Adding a backscattering potential, which reflects a forward propagating quasiparticle to a backward propagating one, partitions the stream of quasiparticles and induces quantum shot noise.
• The noise is proportional to quasiparticles charge and may be affected by their mutual interactions.