Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1997-08-21
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
2 pages, Revtex
Scientific paper
Fendley, Ludwig and Saleur [Phys. Rev. B52 (1995) 8934] have obtained an expression for the non-equilibrium current through a constriction in the quantum Hall bar based on the Bethe ansatz technique and the Bolzmann equation. In this Comment we draw attention to a serious flaw in their derivation. We argue that their result is correct in the linear response limit but should be taken with a care out of equilibrium for finite bias. The reason is in the use of the equilibrium scattering matrix in the place of the transition probability amplitude out of equilibrium, the substitution which was not shown to be legimate.
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