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In a recent experimental paper [1] a qualitative confirmation of theexistence of upstream neutral modes at $\nu = 2/3$ quantum Hall edge wasreported. Using the chiral Luttinger liquid theory of quantum Hall edge wedevelop a quantitative model of the experiment [1]. A good quantitativeagreement of our theory with the experimental data reinforces the conclusion ofexistence of the upstream neutral mode. Our model also enables us to extractimportant quantitative information about non-equilibrium processes in Ohmic andtunneling contacts from the experimental data. In particular, for $\nu = 2/3$,we find a power-law dependence of the neutral mode temperature on the chargecurrent injected from the Ohmic contact.

Non-equilibrium noise in transport across a tunneling contact between $\nu = 2/3$ fractional quantum Hall edges